Quantitative Aptitude - Percentages - Formulaes and Concept Quiz

Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

• 1]

  57%

• 2]

  60%

• 3]

  65%

• 4]

  90%

Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

• 1]

  Rs. 200

• 2]

  Rs. 250

• 3]

  Rs. 300

• 4]

  None Of These

The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:

• 1]

  4.37%

• 2]

  5%

• 3]

  6%

• 4]

  8.75%

Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

• 1]

  Rs. 15

• 2]

  Rs. 15.70

• 3]

  Rs. 19.70

• 4]

  Rs. 20

Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

• 1]

  Rs. 6876.10

• 2]

  Rs. 6999.20

• 3]

  Rs. 6654

• 4]

  Rs. 7000

The ratio 5 : 4 expressed as a percent equals :

• 1]

  12.5 %

• 2]

  40 %

• 3]

  80 %

• 4]

  125 %

The marked price of an article is Rs 2400. It is sold at two successive discounts of 10% and 15%. What is the selling price (in Rs) of the article?

• 1]

  1836

• 2]

  1924

• 3]

  1848

• 4]

  1976

What is 15 percent of Rs. 34.? 

• 1]

  Rs 3.40

• 2]

  Rs 3.75

• 3]

  Rs 4.5

• 4]

  Rs 5.1

What percent is 3% of 5% ?

• 1]

  60%

• 2]

  15%

• 3]

  50%

• 4]

  30%

express 62.5% as a fraction

• 1]

  1/2

• 2]

  5/8

• 3]

  3/8

• 4]

  7/8

If salary of X is 20% more than salary of Y, then by how much percentage is salary of Y less than X?

• 1]

  25

• 2]

  23

• 3]

  50/3

• 4]

  65/4

The employer reduces the number of employees in the ratio 9: 8 and increases their wages in the ratio 14: 15 If the previous wage bill was Rs 189000 what is the amount by which the new wage bill will increase or decrease?

• 1]

  Rs 21000

• 2]

  Rs 10000

• 3]

  Rs 9000

• 4]

  Rs 25000

25% of 25% Is Equal To

• 1]

  0.0625

• 2]

  0.0210

• 3]

  0.03145

• 4]

  0.3210

The difference between a number and its two-fifth is 510. What is 10% of that number ?

• 1]

  75

• 2]

  85

• 3]

  95

• 4]

  105

The number which exceeds 16% of it by 42 is :

• 1]

  50

• 2]

  52

• 3]

  58

• 4]

  60

• 5]

  None Of These

What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?

• 1]

  1

• 2]

  14

• 3]

  20

• 4]

  21

When any number is divided by 12, then dividend becomes `1/4t h` of the other number. By how much percent first number is greater than the second number?

• 1]

  150

• 2]

  200

• 3]

  300

• 4]

  None Of These

An inspector rejects 0.08% of the meters as defective. How many will he examine to reject 2?

• 1]

  2000

• 2]

  2200

• 3]

  2500

• 4]

  2800

If 25% of a number is subtracted from a second number the second number reduce to its five-sixth What is the ratio of the first number to the second number?

• 1]

  1:3

• 2]

  2:3

• 3]

  3:2

• 4]

  Data Inadequate

The population of a town increased from 175000 to 262500 in a decade. The average percent increase of population per year is?

• 1]

  33.33%

• 2]

  5%

• 3]

  6%

• 4]

  8.75%

In an election a candidate who gets 84% of the votes is elected by a majority of 476 votes. What is the total number of votes polled?

• 1]

  672

• 2]

  700

• 3]

  749

• 4]

  848

In an election between two candidates, one got 55% of total valid votes. 20% of the total votes were invalid. The total number of votes were 7500. How many valid votes did the other person get?

• 1]

  3276

• 2]

  3196

• 3]

  3024

• 4]

  2700

In a laboratory experiment, a sample of air which is a mixture of oxygen and water vapour is taken. Water vapour, contains hydrogen and oxygen gases. If air contains a total of 70% oxygen (including that contained in the water vapour) by weight while water vapour contains 16.66% of oxygen by weight, how many kilograms of water vapour is present in 1 kilogram of air?

• 1]

  0.20

• 2]

  0.36

• 3]

  0.32

• 4]

  0.25

In a college, 40% of the students were allotted group A, 75% of the remaining were given group B and the remaining 12 students were given group C. Then the number of students who applied for the group is :

• 1]

  100

• 2]

  60

• 3]

  80

• 4]

  90

A man spends 35% of his income on food, 25% on children's education and 80% of the remaining on house rent. What percent of his income he is left with ? 

• 1]

  8%

• 2]

  10%

• 3]

  12%

• 4]

  14%

the digit at unit place of a two-digit number is increased by 100% and the digit at ten places of the same number is incresed by 50% the new number thus formed is 19 more then the original number. what is the original number?

• 1]

  22

• 2]

  63

• 3]

  24

• 4]

  None Of These

1.14 expressed as a per cent of 1.9 is:

• 1] 6%
• 2] 10%
• 3] 60%
• 4] 90%

In an examination 80% candidates passed in English and 85% candidates passed in Mathematics. If 73% candidates passed in both these subjects, then what per cent of candidates failed in both the subjects?

• 1] 8
• 2] 15
• 3] 27
• 4] 35

Half percent, written as a decimal, is

• 1] 0.2
• 2] 0.02
• 3] 0.005
• 4] 0.05

If the price of the commodity is increased by 50% by what fraction must its consumption be reduced so as to keep the same expenditure on its consumption?

• 1]

  1/4

• 2]

  1/3

• 3]

  1/2

• 4]

  2/3

The population of a town increases every year by 4%. If its present population is 50,000, then after 2 years it will be

• 1] 53,900
• 2] 54,000
• 3] 54,080
• 4] 54,900

A and B are two fixed points 5 cm apart and C is a point on AB such that AC is 3cm. if the length of AC is increased by 6%, the length of CB is decreased by

• 1] 6%
• 2] 7%
• 3] 8%
• 4] 9%

The cost of an article was Rs.75. The cost was first increased by 20% and later on it was reduced by 20%. The present cost of the article is:

• 1] Rs. 72
• 2] Rs. 60
• 3] Rs. 75
• 4] Rs. 76

The price of the sugar rise by 25%. If a family wants to keep their expenses on sugar the same as earlier, the family will have to decrease its consumption of sugar by

• 1] 25%
• 2] 20%
• 3] 80%
• 4] 75%

Each side of a rectangular field diminished by 40%. By how much per cent is the area of the field diminished?

• 1] 32%
• 2] 64%
• 3] 25%
• 4] 16%

If the price of a commodity is decreased by 20% and its consumption is increased by 20%, what will be the increase or decrease in expenditure on the commodity?

• 1] 4% increase
• 2] 4% decrease
• 3] 8% increase
• 4] 8% decrease

If A's salary is 25% more than B's salary, then B's salary is how much lower than A's salary?

• 1]

   %

• 2]

  25%

• 3]

  20%

• 4]

  

Population of a town increase 2.5% annually but is decreased by 0.5% every year due to migration. What will be the percentage increase in 2 years?

• 1] 5%
• 2] 4.04%
• 3] 4%
• 4] 3.96%

In an election between two candidates, the winner got 65% of the total votes cast and won the election by a majority of 2748 votes. What is the total number of votes cast if no vote is declared invalid?

• 1] 8580
• 2] 8720
• 3] 9000
• 4] 9160

Last year, the population of a town was x and if it increases at the same rate, next year it will be y. the present population of the town is

• 1]

  

• 2]

  

• 3]

  

   

   

• 4]

  

Narayan spends 30% of his income on education and 50% of the remaining on food. He gives Rs. 1000 as monthly rent and now has Rs. 1800 left with him. What is his monthly income?

• 1] Rs. 8000
• 2] Rs. 7000
• 3] Rs. 9000
• 4] Rs. 6000

P is 6 times greater than Q then by what per cent is Q smaller than P?

• 1] 84%
• 2] 85.5%
• 3] 80%
• 4] 83.33%

If two numbers are respectively 30% and 40% more than a third number, what percent is the first of the second?

• 1]

  %

• 2]

  %

• 3]

  80%

• 4]

  75%

The population of a city is 35000. On an increase of 6% in the number of men and an increase of 4% in the number of women, the population would become 36760. What was the number of women initially?

• 1] 18000
• 2] 19000
• 3] 17000
• 4] 20000

The length, breadth and height of a room in the shape of a cuboid are increased by 10%, 20% and 50% respectively. Find the percentage change in the volume of the cuboid.

• 1] 77%
• 2] 75%
• 3] 88%
• 4] 98%
• 5] 99%

The price of rice falls by 20%. How much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously?

• 1] 5 kg
• 2] 15 kg
• 3] 25 kg
• 4] 30 kg

30% of a number when subtracted from 91, gives the number itself. Find the number.

• 1] 60
• 2] 65
• 3] 75
• 4] 70
• 5] None of these

The population of village is 1,00,000. The rate of increase is 10% per annum. Find the population at the start of the third year?

• 1] 1,33,100
• 2] 1,21,000
• 3] 1,18,800
• 4] 1,20,000
• 5] None of these

Vicky's salary is 75% more than Ashu's. Vicky got a raise of 40% on his salary while Ashu got a raise of 25% on his salary. By what percent is Vicky's salary more than Ashu's?

• 1] 96%
• 2] 51.1%
• 3] 90%
• 4] 52.1%

An ore contains 25% of an alloy that has 90% iron. Other than this, in the remaining 75% of the ore, there is no iron. How many kilograms of the ore are needed to obtain 60 kg of pure iron?

• 1] 250 kg
• 2] 275 kg
• 3] 300 kg
• 4] 266.66 kg

In the recent, climate conference in New York, out of 700 men, 500 women, 800 children present inside the building premises, 20% of the men, 40% of the women and 10% of the children were Indians. Find the percentage of people who were not Indian?

• 1] 77%
• 2] 73%
• 3] 79%
• 4] 83%

Out of the total production of iron from hematite, an ore of Iron, 20% of the ore gets wasted, and out of the remaining iron, only 25% is pure iron. If the pure iron obtained in a year from a mine of hematite was 80,000 kg, then the quantity of hematite mined from that mine in the year is

• 1] 5,00,000 kg
• 2] 4,00,000 kg
• 3] 4,50,000 kg
• 4] None of these

A man buys a truck for Rs. 2,50,000. The annual repair cost comes to 2% of the price of purchase. Besides, he has to pay an annual tax of Rs. 2000. At what monthly rent must he rent out the truck to get a return of 15% on his net invests of the first year?

• 1] Rs. 3359
• 2] Rs. 2500
• 3] Rs. 4000
• 4] Rs. 3212.5

Ram spends 30% of his salary on house rent, 30% of the rest he spends on his children's education and 24% of the total salary he spends on clothes. After his expenditure, he is left with Rs. 2500. What is Ram's salary?

• 1] Rs. 11,494.25
• 2] Rs. 20,000
• 3] Rs. 10,000
• 4] Rs. 15,000

A report consists of 20 sheets each of 55 lines and each such line consist of 65 characters. This report is reduced onto sheets each of 65 lines such that each line consists of 70 characters. The percentage reduction in number of sheets is closer to

• 1] 20%
• 2] 5%
• 3] 30%
• 4] 35%
• 5] None of these

The price of Maruti car rises by 30 percent while the sales of the car come down by 20%. What is the percentage change in the total revenue?

• 1] - 4%
• 2] - 2%
• 3] + 4%
• 4] + 2%
• 5] None of these

In an institute, 60% of the students are boys and the rest are girls. Further 15% of the boys and 7.5% of the girls are getting a fee waiver. If the number of those getting a fee waiver is 90, find the total number of students getting 50% concessions if it is given that 50% of those not getting a fee waiver are eligible to get half fee concession?

• 1] 360
• 2] 280
• 3] 320
• 4] 330
• 5] 350

After three successive equal percentage rise in the salary the sum of 100 rupees turned into 140 rupees and 49 paise. Find the percentage rise in the salary.

• 1] 12%
• 2] 22%
• 3] 66%
• 4] 82%
• 5] 77%

A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6:7:8:9:10. In all papers together, the candidate obtained 60% of the total marks then, the number of papers in which he got more than 50% marks is

• 1] 1
• 2] 3
• 3] 4
• 4] 5
• 5] None of these

The length, breadth and height of a room are in ratio 3:2:1. If breadth and height are halved while the length is doubled, then the total area of the four walls of the room will

• 1] remain the same
• 2] decrease by 13.64%
• 3] decrease by 15%
• 4] decrease by 18.75%
• 5] decrease by 30%

One bacterium splits into eight bacteria of the next generation. But due to environment, only 50% of one generation can produced the next generation. If the seventh generation number is 4096 million, what is the number in first generation?

• 1] 1 million
• 2] 2 million
• 3] 4 million
• 4] 8 million
• 5] None of these

The rate of increase of the price of sugar is observed to be two percent more than the inflation rate expressed in percentage. The price of sugar, on January 1, 1994 is Rs. 20 per kg. The inflation rates of the years 1994 and 1995 are expected to be 8% each. The expected price of sugar on January 1, 1996 would be

• 1] Rs. 23.60
• 2] Rs. 24
• 3] Rs. 24.20
• 4] Rs. 24.60
• 5] None of these

In an examination, questions were asked in five sections. Out of the total students, 5% candidates cleared the cut-off in all the sections and 5% cleared none. Of the rest, 25% cleared only one section and 20% cleared four sections. If 24.5% of the entire candidates cleared two sections and 300 candidates cleared three sections. Find out how many candidates appeared at the examination?

• 1] 1000
• 2] 1200
• 3] 1500
• 4] 2000
• 5] 1800

A clock is set right at 12 noon on Monday. It losses 1/2 % on the correct time in the first week but gains 1/4 % on the true time during the second week. The time shown on Monday after two weeks will be

• 1] 12 : 25 : 12
• 2] 11 : 34 : 48
• 3] 12 : 50 : 24
• 4] 12 : 24 : 16
• 5] None of these

If a 36 inches long strip cloth shrinks to 33 inches after being washed, how many inches long will the same strip remain after washing if it were 48 inches long?

• 1] 47 inches
• 2] 44 inches
• 3] 45 inches
• 4] 46 inches

(X% of Y) + (Y% of X) is equal to:

• 1] X% of Y
• 2] 20% of XY
• 3] 2% of XY
• 4] 2% of 100 XY

A fraction in reduced form is such that when it is squared and then its numerator is reduced by 33 1/3 % and denominator is reduced to 20%, its result is twice the original fraction. The sum of numerator and denominator is:

• 1] 8
• 2] 13
• 3] 17
• 4] 15
• 5] None of these

A student appeared in the Mock CAT. The test paper contained 3 sections namely QA, DI and VA. The percentage marks in all VA was equal to the average of percentage marks in all the 3 sections. Coincidentally, if we reverse the digit of the percentage marks of QA we get the percentage marks of DI. The percentage marks in VA scored by student could be:

• 1] 81
• 2] 48
• 3] 66
• 4] 69
• 5] None of these

A shopkeeper first raises the price of Jewellery by x% then he decreases the new price by x%. After such up down cycle, the price of a Jewellery decreased by Rs. 21025. After a second up down cycle the Jewellery was sold for Rs. 484416. What was the original price of the jewellery.

• 1] Rs. 5,26,000
• 2] Rs. 6,00,625
• 3] Rs. 5,25,625
• 4] Rs. 5,00,000
• 5] None of these

A company has 12 machines of equal efficiency in its factory. The annual manufacturing expenses are Rs. 24,000 and the establishment charges are Rs. 10,000. The annual output of the company is Rs. 48,000. The annual output and manufacturing costs are directly proportional to the no. of machines while the share holders get the 10% profit, which is directly proportional to the annual output of the company. If 8.33% of machines remained close throughout the year. Then the percentage decrease in the amount of share holders is :

• 1] 14.28%
• 2] 11.11%
• 3] 16.66%
• 4] 8.33%
• 5] None of these

Every month a man consumes 25 kg rice and 9 kg wheat. The price of rice is 20% of the price of wheat and thus he spends total Rs. 350 on the rice and wheat per month. If the price of wheat is increased by 20% then what is the percentage reduction of rice consumption for the same expenditure of Rs. 350? Given that the price of rice and consumption of wheat is constant :

• 1] 40%
• 2] 25%
• 3] 36%
• 4] 24%
• 5] Cannot determined

The price of raw materials has gone up by 15%, labor cost has also increased from 25% of the cost of raw material to 30% of the cost of raw material. By how much percentage should there be reduction in the usage of raw materials so as to keep the cost same?

• 1] 28%
• 2] 17%
• 3] 27%
• 4] 24%
• 5] Cannot determined

A sales executive gets 20% bonus of the total sales value and 10% commission besides the bonus on the net profit after charging such commission. If the total sales value be Rs. 10 lakh per annum and the total profit of the company be Rs. 1.32 lakh, then his total earning per annum will be, given that he is not entitled to receive any fixed salary from the company :

• 1] 2.3 lakh
• 2] 2.32 lakh
• 3] 2.12 lakh
• 4] 3.2 lakh
• 5] None of these

A shepherd had n goats in the year 2000. In 2001 the no. of goats increased by 40%. In 2002 the no. of goats declined to 70%. In 2003 the no. of goats grew up 30%. In 2004, he sold 10% goats and then he had only 34,398 goats. The percentage increase of the no. of goats in this duration was :

• 1] 16.66%
• 2] 14.66%
• 3] 11.33%
• 4] 20%

In an office in Singapore there are 60% female employees. 50 % of all the male employees are computer literate. If there are total 62% employees computer literate out of total 1600 employees, then the no. of female employees who are computer literate ?

• 1] 690
• 2] 674
• 3] 672
• 4] 960

The price of a car depreciates in the first year by 25% in the second year by 20% in third year by 15% and so on. The final price of the car after 3 years, if the present cost of the car is Rs. 10,00,000 :

• 1] 7,80,000
• 2] 1,70,000
• 3] 6,90,000
• 4] 5,10,000

The actual area of a rectangle is 60 Cm2, but while measuring its length a student decreases it by 20% and the breadth increases by 25%. The percentage error in area, calculated by the student is :

• 1] 5%
• 2] 15%
• 3] 20%
• 4] No change

The cost of packaging of the mangoes is 40% the cost of fresh mangoes themselves. The cost of mangoes increased by 30% but the cost of packaging decreased by 50%, then the percentage change of the cost of packed mangoes, if the cost of packed mangoes is equal to the sum of the cost of fresh mangoes and cost of packaging :

• 1] 14.17%
• 2] 7.14%
• 3] 8.87%
• 4] 6.66%

220% of a number X is 44. What is 44% of X.

• 1] 8.8
• 2] 8.9
• 3] 6.6
• 4] 7.7

The shopkeeper increased the price of a product by 25% so that customer finds difficult to purchase the required amount. But Somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product ?

• 1] 55 more
• 2] 10% more
• 3] 12.5% less
• 4] 17.5% less
• 5] None of these

A customer asks for the production of x number of goods. The company produces y number of goods daily. Out of which z% are units for sale. The order will be completed in :

• 1]

    days

• 2]

  days

• 3]

  days

• 4]

  days

• 5]

  Cannot determined

In the Science City, Kolkata the rate of the ticket is increased by 50% to increased the revenue but simultaneously 20% of the visitor decreased. What is percentage change in the revenue. if it is known that the Science city collects one revenue only from the visitors and it has no other financial supports:

• 1] +20%
• 2] -25%
• 3] +30%
• 4] -30%
• 5] Cannot determined

600 students took the test on Physics and chemistry. 35% students failed in Physics and 45% students failed in chemistry and 40% of those who passed in chemistry also passed in Physics, then how many students failed in both :

• 1] 16
• 2] 15
• 3] 13
• 4] 12

An alloy contains the copper and aluminum in the ratio of 7 : 4 While making the weapons from this alloy, 12% of the alloy got destroyed. If there is 12 kg of aluminum in the weapon, then weight of the alloy required is :

• 1] 14.4 kg
• 2] 37.5 kg
• 3] 40 kg
• 4] 48 kg

80% of a smaller number is 4 less than 40% of a larger number. The larger number is 85 greater than the smaller one. The sum of these two number is

• 1] 325
• 2] 425
• 3] 235
• 4] 500

A number x is mistakenly divided by 10 instead of being multiplied by 10. what is the percentage error in the result?

• 1] -99%
• 2] -100%
• 3] +99%
• 4] +100%

A college has raised 75% of the amount it needs for a new building by receiving an average donation of Rs. 600 from the people already solicited. The people already solicited represent 60% of the people, the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what should be the average donation from the remaining people be solicited?

• 1] 300
• 2] 250
• 3] 400
• 4] 500

In the Bombay Stock Exchange there are 45% female employees and thus the number of male employees is exceeded by 72. Hence the total no. of employees in the BSE is:

• 1] 540
• 2] 720
• 3] 800
• 4] 550

The average weight of a class of students is 67.5 kg. The weight of the class teacher is 25% more than the average weight of the class. The average weight of the class is less than the class teacher by x%. The value of x is:

• 1] 33.335
• 2] 25%
• 3] 20%
• 4] 22%

Every day a mango seller sells half his stock, 10% of the stock overnight gets spoiled. If 1983 mangoes rotted over 3 nights then how many did hi start with on the first day ?

• 1] 25,000
• 2] 24,000
• 3] 30,000
• 4] 32,000
• 5] None of these

In a factory there are three types of machine M1, M2 and M3 which produces 25%, 35% and 40% of the total products respectively. M1, M2 and M3 produces 2%, 4% and 5% defective products, respectively. what is the percentage of non-defective products ?

• 1] 89%
• 2] 97.1%
• 3] 96.1%
• 4] 86.1%
• 5] None of these

The square of a positive number is 2000% greater than the number itself, then the square of that number is :

• 1] 1762
• 2] 1635
• 3] 441
• 4] 139

The cost of a car is 400% greater than the cost of a bike. If there is an increase in the cost of the car is 15% and that of bike 20%. Then the total increase in the cost of the 5 cars and 10 bikes is:

• 1]

  17.5%

• 2]

  %

• 3]

  18.5%

• 4]

  18.25%

Connie has a number of gold bars, all of different weights. She gives the 24 lightest bars, which weigh 45% of the total weight, to Brennan. She gives the 13 heaviest bars, which weigh 26% of the total weight, to Maya. She gives the rest of the bars to Blair. How many bars did Blair receive?

• 1] 14
• 2] 15
• 3] 16
• 4] 17
• 5] 18

At the beginning of a year ,the owner of a jewel shop raised the price of all the jewels in his shop by x% and lowered them by x%. The price of one jewel after this up and down cycle reduced by Rs. 100. The owner carried out the same procedure after a month. After this second up-down cycle,the price of that jewel was Rs. 2304. Find the original price of that jewel(in Rs.)

• 1] 2500
• 2] 2550
• 3] 2600
• 4] 2650
• 5] None of these

From 2000 onwards, till 2003 the price of computers increased every year by 10%. After that due to government subsidy the price of computers decreases every year by 10%. The price of a computer in 2006 will be approx. how much per cent less than the price in 2000 if the same pattern of price is continued :

• 1] 2
• 2] 3
• 3] 4
• 4] 5