Practice Questions for Percentage, Profit & Loss

1. CRE 2 - Percentage Change | Percentage, Profit & Loss

The population of a town increases from 4200 to 5100. What is the approximate percentage increase?

(a)
10%
(b)
12%
(c)
25%
(d)
20%
(e)
21%

Answer: Option E

Explanation :

Percentage increase = $\frac{F i n a l v a l u e - I n i t i a l v a l u e}{I n i t i a l v a l u e} \times 100 %$ = $\frac{5100 - 4200}{4200} \times 100 %$ = 21.42 = approx 21%

Hence, option (e).

2. CRE 2 - Percentage Change | Percentage, Profit & Loss

A number increases by 40 when added to 20% of itself. The number is

(a)
200
(b)
60
(c)
80
(d)
320

3. CRE 2 - Percentage Change | Percentage, Profit & Loss

A positive number was by mistake divided by 6 instead of being multiplied by 6. What is the % error on the basis of correct answer?

(a)
3
(b)
97
(c)
17
(d)
83

Answer: Option B

Explanation :

Let x be the unknown positive number. Then, correct answer = 6x

Wrong answer = x/6

Error = 6x – x/6 = 35x/6

With respect to correct answer, % error can be found as, $\frac{\frac{35 x}{6}}{6 x} \times 100$ = $\frac{35 x}{36 x} \times 100$ = 97%

Hence, option (b).

4. CRE 2 - Percentage Change | Percentage, Profit & Loss

A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing:

(a)
150
(b)
200
(c)
250
(d)
275

5. CRE 2 - Percentage Change | Percentage, Profit & Loss

Two numbers are 50% and 60% less than a third number. How much per cent is the second number less than the first?

(a)
15%
(b)
20%
(c)
10%
(d)
25%

6. CRE 2 - Percentage Change | Percentage, Profit & Loss

A student needs 40% marks to pass in an exam. He got 240 marks and failed by 40 marks. Find the total marks?

(a)
700
(b)
800
(c)
400
(d)
300
(e)
None of these

7. CRE 2 - Percentage Change | Percentage, Profit & Loss

A earns 20% more than B but 25% less than C. If B earns Rs. 900 less than C, find the earnings of C :

(a)
Rs. 2500
(b)
Rs. 1600
(c)
Rs. 1500
(d)
Rs. 2400

8. CRE 2 - Percentage Change | Percentage, Profit & Loss

After 38 litres of petrol were poured into an empty tank, it was still 5% empty. How much petrol more must be poured into the tank in order to fill it?

(a)
38 liters
(b)
40 liters
(c)
38.5 liters
(d)
2 liters

9. CRE 2 - Percentage Change | Percentage, Profit & Loss

If 17% is lost in grinding wheat, a country has to import 6 lakhs tonnes of wheat but can maintain from its resources if only 5% is lost in grinding. The quantity of wheat grown in the country is

(a)
5000 tonnes
(b)
50,000 tonnes
(c)
5,00,000 tonnes
(d)
50,00,000 tonnes

10. CRE 2 - Percentage Change | Percentage, Profit & Loss

In a town, there are 3000 men and 3000 women. If men increased by 20% and women decreased by 40%, women as a percent of men now is:

(a)
50%
(b)
66.66%
(c)
80%
(d)
83.33%
(e)
None of these

11. CRE 2 - Percentage Change | Percentage, Profit & Loss

A 'laddoo' is made of 60% flour, 20% sugar and the rest is 'ghee'. What is the quantity of 'ghee' in two kg laddoos?

(a)
400 gms
(b)
2 kgs
(c)
100 gms
(d)
450 gms
(e)
None of these

12. CRE 2 - Percentage Change | Percentage, Profit & Loss

If A's income is 50% more than B's, then B's income is what percent of A's income?

(a)
66.66%
(b)
80%
(c)
90%
(d)
125%
(e)
None of these

13. CRE 2 - Percentage Change | Percentage, Profit & Loss

If the numerator of a fraction is increased by 50% and denominator decreased by 20%, the new value is 3/10. What was the original fraction?

(a)
3/5
(b)
4/5
(c)
7/8
(d)
3/2
(e)
None of these

Answer: Option E

Explanation :

Let the original fraction = x/y

∴ $\frac{x + 50 % o f x}{y - 20 % o f y} = \frac{3}{10}$

⇒ $\frac{1.5 x}{0.8 y} = \frac{3}{10}$

⇒ x/y = 4/25

Hence, option (e).

CRE 2 - Percentage Change | Percentage, Profit & Loss

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