CRE 1 - Percentage | Percentage, Profit & Loss
What is the % 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).
Workspace:
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).
Workspace:
27 is what percentage of 36?
- A.
80%
- B.
91%
- C.
25%
- D.
75%
- E.
None of these
Answer: Option D
Explanation :
× 100 = = 75%
Hence, option (d).
Workspace:
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 :
× 100 = 50%
Hence, option (e).
Workspace:
What is % of 672?
- A.
332
- B.
411
- C.
448
- D.
324
- E.
None of these
Answer: Option C
Explanation :
% =
% of 672 = × 672 = 448
Hence, option (c).
Workspace:
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% = and 87.5% =
Let the number be x.
Then, from the problem × x = 450.
∴ x = 450 ×
Hence, 87.5% of x = × x = × 450 × = 1050.
Hence, option (c).
Workspace:
What percent of 80 is 48?
- A.
60%
- B.
61.66%
- C.
65.66%
- D.
70%
- E.
None of these
Answer: Option A
Explanation :
= 60%
Hence, option (a).
Workspace:
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 = = = 128
Hence, option (b).
Workspace:
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,
∴ × 100 = 50%
Hence, option (c).
Workspace:
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 = × 100 = 20%
Hence, option (d).
Workspace:
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. × 50 = 20 L
So, quantity of milk = 50 – 20 = 30
Hence, option (b).
Workspace:
A is what percent of ?
- A.
60%
- B.
20%
- C.
500%
- D.
166%
- E.
None of these
Answer: Option C
Explanation :
Required Percentage = × 100 = 15/3 × 100 = 500%.
Hence, option (c).
Workspace:
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 = × × 100 = 15.
Hence, option (e).
Workspace:
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).
Workspace:
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).
Workspace:
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).
Workspace:
Answer the next 2 questions based on the information given below.
A's salary is Rs. 300 and B's salary is Rs. 500.
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.
Workspace:
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
Workspace:
A school has a student population of 560. The number of girls is 14% 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% = )
Then, from the problem,
+ b = 560
⇒ 8b/7 = 560
⇒ b = 490
⇒ No. of girls = 560 – 490 = 70
Hence, option (b).
Workspace:
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).
Workspace:
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).
Workspace:
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).
Workspace:
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