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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