# Aptitude - Percentages Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Percentages**. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using **Show Answer** button. You can use **Next Quiz** button to check new set of questions in the quiz.

### Answer : A

### Explanation

Let the unknown value is p 88% of 370 + 24% of 210 - p = 118 p = 325.60 + 50.40 - 118 = 258

Q 2 - The sum of two numbers is ^{28}⁄_{25} of the first number. The second number is what percent of the first?

### Answer : C

### Explanation

Let p and q be the numbers, then p + q =^{28}⁄_{25}p q =^{28}⁄_{25}p - p q =^{3}⁄_{25}p^{q}⁄_{p}=^{3}⁄_{25}For percentage:^{q}⁄_{p}=^{3}⁄_{25}x 100

= 12%

Q 3 - Saurav went to the stationery 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?

### Answer : C

### Explanation

Let p be the amount of taxable purchases. Then,^{6}⁄_{100}p =^{30}⁄_{100}p = (^{30}⁄_{100}x^{100}⁄_{6}) = 5 The cost of tax free items: [25 - (5 + 0.30)] = Rs. 19.70

Q 4 - A spider climbed 62^{1}⁄_{2}% of the height of the pole in one hour and in the next hour it covered 12^{1}⁄_{2}% of the remaining height. If the height of the pole is 192m, then distance climbed in second hour is?

### Answer : A

### Explanation

Height climbed in second hour = 12^{1}⁄_{2}% of (100 - 62^{1}⁄_{2})% of 192 Therefore, the distance climbed in second hour by spider is 9m.

Q 5 - The monthly salary of Abdul is Rs 60000. He spend 20% of it on the education of his children, 25% on house rent, 5% on travels, 30% on food, 8% on miscellaneous items and rest he saves for the future. Find his savings.

### Answer : B

### Explanation

Total expenditure = (20 + 25 + 5 + 30 +8)% = 88% Savings = 100% - 88% = 12% => His savings = 12/100 * 60000 = 7200

Q 6 - The price of a certain item is increased by 15%. If a consumer wants to keep his expenditure on the item the same as before, how much percent must he reduce his consumption of that item.

### Answer : B

### Explanation

If the price of a commodity increases by R%, to maintain the same expenditure, the reduction in consumption can be represented by: {R/(100 + R)}*100% = {15/(100 + 15)} * 100 = 300/23%

Q 7 - The income of broker remains unchanged though the rate of commission is increased from 5% to 6% .the percentage of slump in business is

### Answer : B

### Explanation

Let the business value changes from x to y Then, 5% of x=6% of y or 5/100*x=6/100 y Or y = 5/6x Change in business = x-5/6x=1/6x Percentage slum in business=1/6 x * 1/x*100=100/6 %

Q 8 - A student who secures 30% marks in an exam fails by 30 marks .Another student who secures 35% marks gets 42 marks more than required to pass .the percentage of marks required is

### Answer : A

### Explanation

30% of x + 30= 35% of x -42 Or 5% of x =72 =>x=1440 Pass marks =30% of 1440 +30=432+30=462 Pass percentage = 462/1440*100=32.08%

### Answer : B

### Explanation

Let's have x % of 2/7 = 1/35 => x/100 * (2/7) = 1/35 =>x = 1/35 * 7/2 * 100 = 10%

Q 10 - If the radius of a circle is increased by 4 times, what will be the percentage increase in its area?

### Answer : D

### Explanation

Area of circle = Πr2 Area of new circle = Π(4r^{2}) = 16Πr^{2}= 16 times the area of the original circle ∴ Required percentage = (16 – 1)/1 * 100 = 1500%