# CRE 1 - Percentage | Percentage, Profit & Loss

**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

Answer: Option B

**Explanation** :

12.5% = 1/8;

Therefore (1/8) × 2000 = 250.

Hence, option (b).

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**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%

Answer: Option D

**Explanation** :

x = 90% of y

⇒ x = 0.9y

⇒ x/y = 0.9 or 90% and y/x = 1/0.9 = 1.11 = 111.1%.

∴ y is 111.1% of x.

Hence, option (d).

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**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).

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**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).

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**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).

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**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).

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**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).

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**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).

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**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).

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**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).

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**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).

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**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 = $\frac{\mathrm{A}}{\mathrm{3A/15}}$ × 100 = 15/3 × 100 = 500%.

Hence, option (c).

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**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).

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**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

Answer: Option D

**Explanation** :

Going by options

A. 33% = 33/100 = 0.33

B. 1/3 = 0.3333

C. 0.34

D. 7/20 = 0.35

E. 11/34 = 0.32

So out of this 7/20 is greatest.

Hence, option (d).

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**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

Answer: Option A

**Explanation** :

20% of 80 = x% of 32.

⇒ 16 = x/100 × 32

⇒ x = 50

Hence, option (a).

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**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

Answer: Option B

**Explanation** :

M = 60% of N

M = 3N/5 (60% = 3/5)

∴ N = 5M/3 = 166.66% of M

Hence, option (b).

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**Answer the next 2 questions based on the information given below.**

A's salary is Rs. 300 and B's salary is Rs. 500.

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

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

Answer: 60

**Explanation** :

A's salary as a % of B's salary = 300/500 × 100 = 60%.

Hence, 60.

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

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

Answer: 40

**Explanation** :

% by which A's salary is less than B's salary = (500 - 300)/500 × 100 = 40%.

**Alternately,**

In the previous question we calculated that A's salary is 60% of B's salary.

Hence, A's salary is (100 - 60 =) 40% less than B's salary.

Hence, 40

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**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,

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

⇒ 8b/7 = 560

⇒ b = 490

⇒ No. of girls = 560 – 490 = 70

Hence, option (b).

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

150% of 15 + 75% of 75 = ?

- A.
75.75

- B.
78.75

- C.
135

- D.
76.75

Answer: Option B

**Explanation** :

150% of 15 + 75% of 75

= 150/100 × 15 + 75/100 × 75

= 3/2 × 15 + 3/4 × 75

= 45/2 + 225/4

= 22.5 + 56.25

= 78.75

Hence, option (b).

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

If A is 20% more than B, then B is what % less than A?

- A.
20%

- B.
15%

- C.
16.67%

- D.
25%

Answer: Option C

**Explanation** :

Let B = 100

∴ A = 20% more than 100 = 120.

Now, required % = (120 - 100)/120 × 100% = 16.67%

Hence, option (c).

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

The difference between 28% of a number and 11% of the same number is 646. Then what is that number.

- A.
3800

- B.
3400

- C.
4600

- D.
4200

Answer: Option A

**Explanation** :

Let the number be N.

⇒ 28% of N - 11% of N = 646

⇒ 17% of N = 646

⇒ 17/100 × N = 646

⇒ N = 646 × 100/17 = 3800

Hence, option (a).

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