Practice Questions for Percentage, Profit & Loss

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

What is the $12 \frac{1}{2}$ % of 2000?

(a)
300
(b)
250
(c)
390
(d)
375
(e)
None of these

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

If x is 90% of y then what per cent of x is y?

(a)
101%
(b)
190%
(c)
90%
(d)
111.10%

3. CRE 1 - Percentage | Percentage, Profit & Loss

27 is what percentage of 36?

(a)
80%
(b)
91%
(c)
25%
(d)
75%
(e)
None of these

Answer: Option D

Explanation :

$\frac{27}{36}$ × 100 = $\frac{300}{4}$ = 75%

Hence, option (d).

4. CRE 1 - Percentage | Percentage, Profit & Loss

What percent of 52 is 26?

(a)
54.16%
(b)
184.6%
(c)
56.33%
(d)
57.16%
(e)
None of these

Answer: Option E

Explanation :

$\frac{26}{52}$ × 100 = 50%

Hence, option (e).

5. CRE 1 - Percentage | Percentage, Profit & Loss

What is $66 \frac{2}{3}$ % of 672?

(a)
332
(b)
411
(c)
448
(d)
324
(e)
None of these

Answer: Option C

Explanation :

$66 \frac{2}{3}$ % = $\frac{2}{3}$

$66 \frac{2}{3}$ % of 672 = $\frac{2}{3}$ × 672 = 448

Hence, option (c).

6. CRE 1 - Percentage | Percentage, Profit & Loss

If 37.5% of a number is 450, 87.5% of the number will be:

(a)
825
(b)
1175
(c)
1050
(d)
1250

Answer: Option C

Explanation :

37.5% = $\frac{3}{8}$ and 87.5% = $\frac{7}{8}$

Let the number be x.

Then, from the problem $\frac{3}{8}$ × x = 450.

∴ x = 450 × $\frac{8}{3}$

Hence, 87.5% of x = $\frac{7}{8}$ × x = $\frac{7}{8}$ × 450 × $\frac{8}{3}$ = 1050.

Hence, option (c).

7. CRE 1 - Percentage | Percentage, Profit & Loss

What percent of 80 is 48?

(a)
60%
(b)
61.66%
(c)
65.66%
(d)
70%
(e)
None of these

Answer: Option A

Explanation :

$\frac{48}{80} \times 100$ = 60%

Hence, option (a).

8. CRE 1 - Percentage | Percentage, Profit & Loss

What is 80% of 80% of 200?

(a)
80
(b)
128
(c)
135
(d)
140
(e)
None of these

Answer: Option B

Explanation :

80% of 80% of 200 = $\frac{80}{100} \times \frac{80}{100} \times 200$ = $\frac{4}{5} \times \frac{4}{5} \times 200$ = 128

Hence, option (b).

9. CRE 1 - Percentage | Percentage, Profit & Loss

60 minutes is what percent of two hours?

(a)
83.33%
(b)
60%
(c)
50%
(d)
87.66%
(e)
None of these

Answer: Option C

Explanation :

2 hours = 120 mins,

∴ $\frac{60}{120}$ × 100 = 50%

Hence, option (c).

10. CRE 1 - Percentage | Percentage, Profit & Loss

In an examination passing percentage is 40. A obtained 80 out of 400. By what percent did he fail?

(a)
8%
(b)
5%
(c)
35%
(d)
20%
(e)
None of these

Answer: Option D

Explanation :

Passing marks = 40% of 400 = 160

He obtained 80, i.e. he failed by (160 - 80=) 80 marks.

Percentage by which he failed = $\frac{80}{400}$ × 100 = 20%

Hence, option (d).

11. CRE 1 - Percentage | Percentage, Profit & Loss

A 50 L mixture of milk and water has 40% water. What is the quantity of milk in it?

(a)
27.5 L
(b)
30 L
(c)
31.5 L
(d)
32.5 L
(e)
None of these

Answer: Option B

Explanation :

In 50 L, 40% is water i.e. $\frac{40}{100}$ × 50 = 20 L

So, quantity of milk = 50 – 20 = 30

Hence, option (b).

12. CRE 1 - Percentage | Percentage, Profit & Loss

A is what percent of $\frac{3}{15} A$ ?

(a)
60%
(b)
20%
(c)
500%
(d)
166%
(e)
None of these

Answer: Option C

Explanation :

Required Percentage = $\frac{A}{3A/15}$ × 100 = 15/3 × 100 = 500%.

Hence, option (c).

13. CRE 1 - Percentage | Percentage, Profit & Loss

What is 30% of 50% of 100?

(a)
25
(b)
16.5
(c)
85
(d)
11.5
(e)
None of these

Answer: Option E

Explanation :

30% of 50% of 100 = $\frac{30}{100}$ × $\frac{50}{100}$ × 100 = 15.

Hence, option (e).

14. CRE 1 - Percentage | Percentage, Profit & Loss

Which one of the following is the largest?

(a)
33%
(b)
1/3
(c)
0.34
(d)
7/20
(e)
11/34

15. CRE 1 - Percentage | Percentage, Profit & Loss

20% of 80 = x % of 32, find the value of x?

(a)
50
(b)
100
(c)
80
(d)
40
(e)
None of these

16. CRE 1 - Percentage | Percentage, Profit & Loss

If M is 60% of N, then N is what % of M?

(a)
133.33%
(b)
166.66%
(c)
160%
(d)
66.66%
(e)
None of these

17. CRE 1 - Percentage | Percentage, Profit & Loss

What is A's salary as a % of B?

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18. CRE 1 - Percentage | Percentage, Profit & Loss

By what % is A's salary less than B's salary?

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19. CRE 1 - Percentage | Percentage, Profit & Loss

A school has a student population of 560. The number of girls is 14 $\frac{2}{7}$ % of the number of boys. How many girls are in the school?

(a)
100
(b)
70
(c)
80
(d)
None of these

Answer: Option B

Explanation :

Let the number of boys be b.

Hence, the number of girls is b/7 (14 $\frac{2}{7}$ % = $\frac{1}{7}$ )

Then, from the problem,

$\frac{b}{7}$ + b = 560

⇒ 8b/7 = 560

⇒ b = 490

⇒ No. of girls = 560 – 490 = 70

Hence, option (b).

CRE 1 - Percentage | Percentage, Profit & Loss

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