# 100+ Ratio and Proportion Questions for SBI PO, SO, Clerk Exams - 1

Question: 1

The fourth proportional to 0.12, 0.21 and 8 is

(A) 7

(B) 14

(C) 17

(D) 18

Ans: B

Let the fourth proportional to 0.12, 0.21 and 8 be x.

Then, 0.12 : 0.21 : : 8 : x

⇔ x = 0.12x = 0.21 × 8

⇔ x = $${0.21 × 8}/{0.12}$$ = $${21 × 8}/ {12}$$ = 14.

Question: 2

Rita invested 25% more than Sunil. Sunil invested 30% less than Abhinav, who invested Rs.6000. What is the ratio of the amount that Rita invested to the total amount invested by all of them together?

(A) 13 : 29

(B) 35 : 103

(C) 35 : 104

(D) 101 : 36

Ans: B

Abhinav’s investment = Rs. 6000.

Sunil’s investment = (100 - 30)% of 6000

= 70% of Rs. 6000 = Rs. $$({70}/{100} × 6000)$$ = Rs. 4200.

Rita’s investment = (100 + 25)% of Rs. 4200 =

125% of Rs. 4200 = Rs. $$({125}/{100} × 4200)$$ = Rs. 5250.

Total amount invested = Rs. (6000 + 4200 + 5250) = Rs. 15450.

∴ Required ratio = 5250 : 15450 = 35 : 103.

Question: 3

The mean proportional between 0.02 and 0.32 is

(A) 0.3

(B) 0.4

(C) 0.08

(D) 0.16

Ans: C

Required mean proportional = $$√ 0.02 × 0.32$$ = $$√ 0.0064$$ = 0.08.

Question: 4

A man spends a part of his monthly income and saves a part of it. The ratio of his expenditure to his savings is 26 : 3. If his monthly income is Rs. 7250, what is the amount of his monthly savings?

(A) Rs. 290

(B) Rs. 350

(C) Rs. 690

(D) Rs. 750

Ans: D

Let the man’s expenditure be Rs. 26x and savings be Rs. 3x.

Then, monthly income = Rs. (26x + 3x) = Rs. (29x).

So, 29x = 7250 or x = 250.

∴ Monthly savings = Rs. (3 × 250) = Rs. 750.

Question: 5

The ratio of the number of boys and girls in a school of 720 students is 7 : 5. How many more girls should be admitted to make the ratio 1 : 1?

(A) 70

(B) 90

(C) 120

(D) 240

Ans: C

Number of boys = $$(720 × {7}/{12})$$ = 420.

Number of girls = (720 - 420) = 300.

Let the required number of girls be x. Then, $${420}/{300 + x}$$ = 1

⇒ 420 = 300 + x ⇒ x = 120.

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