Quantitative Aptitude

Percentage

482 Questions
All Successive Percentage Changes 177 Population Growth and Depreciation 103 Fractional Base Multiplication 58 Reverse More-Than and Less-Than Comparisons 38 Income, Expenditure, and Savings 33 Price and Consumption 30 Election Votes and Margins 10 Fake Weight and Faulty Measures 10 Venn Diagram Percentages 9 Passing Marks Shifts 5 Fresh vs. Dry Mixture 2

Percentage Questions

Multiple choice

In 1989, the price of a new model S car was \$x. If the price of the model S car decreased each year by 10 percent of the previous year's price and amounted to \$16,200 in two years, then what would be the value of 'x'?

  1. 18,200

  2. 12,000

  3. 20,000

  4. 12,500

  5. 25,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The price decreases by 10% annually, so the price after 2 years is x * (0.9)^2 = 16,200. Thus, x * 0.81 = 16,200, which gives x = 16,200 / 0.81 = 20,000.

Multiple choice

The population of a city is 5,00,000, out of which, 52% are males and the rest are females. The overall literacy rate in the city is 70%. If 60% of the males are literate, then find the number of literate females in the city and the percentage literacy among females.

  1. 1,94,000, 80.83%

  2. 50,000, 20.83%

  3. 2,40,000, 50.02%

  4. 2,40,000, 80.83%

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total = 500,000. Males = 260,000, Females = 240,000. Total literate = 0.7 * 500,000 = 350,000. Literate males = 0.6 * 260,000 = 156,000. Literate females = 350,000 - 156,000 = 194,000. Literacy % for females = 194,000 / 240,000 = 80.83%.

Multiple choice

Population of a city 'X' is 100 and it increases by 50% per year, and initial production of the food in village 'X' is 100 tonnes and it increases by 100 tonnes a year. If each person requires at least 1 tonne of food per year and food stock is exhausted every year, then after how long would the food production in the city be insufficient for the entire population? (Assume that they cannot import food from anywhere)

  1. 2 years

  2. 3 years

  3. 4 years

  4. 7 years

  5. Never
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Population P(n) = 100 * (1.5)^n. Food F(n) = 100 + 100n. We need to find n such that F(n) < P(n). For n=3: F=400, P=100*3.375=337.5. For n=4: F=500, P=100*5.0625=506.25. Since 500 < 506.25, the food is insufficient after 4 years.

Multiple choice

Last year, an employee used to save 30% of his salary. Now, his salary has increased by 80%, while his savings have increased by 30%. What is the approximate percentage change in his expenditure?

  1. 101% increase

  2. 80% increase

  3. 70% increase

  4. 50% increase

  5. 40% increase
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let salary = 100, savings = 30, expenditure = 70. New salary = 180. New savings = 30 * 1.3 = 39. New expenditure = 180 - 39 = 141. Percentage change = ((141 - 70) / 70) * 100 = (71 / 70) * 100 = 101.4%.

Multiple choice

A man bought an article by paying Rs. 100. He sold it to his friend in such a way that the profit he had was 320% of the cost. If the cost price of that article was increased by 25%, but the selling price remained the same, then find the percent profit now.

  1. 236%

  2. 240%

  3. 250%

  4. 256%

  5. 260%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Initial cost price (CP) = 100, profit = 320% of 100 = 320, so selling price (SP) = 100 + 320 = 420. New CP = 100 * 1.25 = 125. New profit = 420 - 125 = 295. Profit percent = (295 / 125) * 100 = 236%.

Multiple choice

Two years ago, Mahesh's salary was one-third of Mohan's salary. Each year, their respective salaries increase by 20% and 10%. What approximate percent of Mohan's current salary is Mahesh's current salary?

  1. 30%

  2. 40%

  3. 45%

  4. 48%

  5. 55%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Mahesh's salary be M and Mohan's be N two years ago. M = 1/3 N. After two years of growth, Mahesh's salary is M * 1.2 * 1.2 = 1.44M. Mohan's is N * 1.1 * 1.1 = 1.21N. Since N = 3M, Mohan's current salary is 1.21 * 3M = 3.63M. The ratio is 1.44M / 3.63M, which is approximately 39.6%, rounding to 40%.

Multiple choice

The price of an iPod has first increased by 20% and then again by 25%. What should be the percentage decrease in the price of the iPod so that it becomes equal to the initial price of the iPod?

  1. 25%

  2. 50%

  3. 33.33%

  4. 66.66%

  5. 20%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let initial price be 100. After 20% increase, it is 120. After 25% increase, it is 120 * 1.25 = 150. To return to 100, the decrease required is 50. Percentage decrease = (50 / 150) * 100 = 33.33%.