Ratio and Proportion problems
- 1. Rs. 1050 is divided among P, Q and R. The share of P is 2/5 of the combined share of Q and R. Thus P gets?
Options- A. Rs. 200
- B. Rs. 300
- C. Rs. 320
- D. Rs. 420 Discuss
Correct Answer: Rs. 300
Explanation:
? P : (Q + R) = 2 : 5
? p's share = Rs. 1050 x (2/7) = Rs. 300
- 2. Rs. 385 has been divided among A, B, C in such a way that A receives 2/9th of what B and C together receive. Then A's share is?
Options- A. Rs. 70
- B. Rs. 77
- C. Rs. 82.50
- D. Rs. 85 Discuss
Correct Answer: Rs. 70
Explanation:
A : (B + C) = 2 : 9
? A's share = Rs. (385 x 2/11) = Rs. 70
- 3. The speed of three cars are in the ratio 3 : 4 : 5. The ratio between times taken by them to travel the same distance is?
Options- A. 3 : 4 : 5
- B. 5 : 4 : 3
- C. 12 : 15 : 20
- D. 20 : 15 : 12 Discuss
Correct Answer: 20 : 15 : 12
Explanation:
Ratio of time taken = 1/3 : 1/4 : 1/5 = 20 : 15 : 12
- 4. The cost of making an article is divided between materials, labour and overheads in the ratio 3 : 4 : 1. If the materials cost Rs. 67.50, the cost of article is?
Options- A. Rs. 180
- B. Rs. 122.50
- C. Rs. 380
- D. Rs. 540 Discuss
Correct Answer: Rs. 180
Explanation:
If material cost Rs. 3, the cost of the article is = Rs. ( 3 + 4 + 1) = Rs. 8
If material cost Rs. 67.50, the cost of the article = Rs. (8/3 x 67.5) = Rs. 180
- 5. A right cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is?
Options- A. 3 : 5
- B. 2 : 5
- C. 3 : 1
- D. 1 : 3 Discuss
Correct Answer: 1 : 3
Explanation:
Let the heights of the cylinder and cone be h and H respectively.
? ?r2h = ?r2H / 3
? h/H = 1/3
? h : H = 1 : 3.
So their heights are in the ratio 1 : 3.
- 6. If 3/4th of the employees in a super market are not college graduates What is the ratio of the number of college graduates to those who are not college graduates?
Options- A. 1 : 4
- B. 3 : 1
- C. 1 : 3
- D. 3 : 4 Discuss
Correct Answer: 1 : 3
Explanation:
Of every 4 employees, 1 is college graduate and 3 are not college graduates.
? The required ration = 1 : 3
- 7. The strength of a school is 840. The ratio of the number of students talking English to the number of students not talking English is 4 : 3. How many of the students take English?
Options- A. 480
- B. 360
- C. 270
- D. 540 Discuss
Correct Answer: 480
Explanation:
The number of students talking English = 4/(4 + 3) x 840 = 480
- 8. A bag contains 25 paise, 10 paise and 5 paise coins in the ratio 1 : 2 : 3 . If their total value is ? 60, then the number of 5 paise coins is?
Options- A. 10
- B. 50
- C. 30
- D. 40 Discuss
Correct Answer: 30
Explanation:
Let the number of 25 paise, 10 paise and 5 paise coins be N, 2N and 3N, respectively. Then ,
N + 2N + 3N = 60
? N = 10
? The number of 5 paise coins = 3 x 10 = 30
- 9. Some money is divided amongst three workers A, B and C such that 5 times A's share is equal to 12 times B's share which is equal to 6 times C's share. The ratio between the shares of A, B and C is?
Options- A. 5 : 10 : 12
- B. 12 : 5 : 10
- C. 10 : 12 : 5
- D. 5 : 12 : 10 Discuss
Correct Answer: 12 : 5 : 10
Explanation:
Let 5A = 12B = 6C = k
Then, A = k/5, B = k/12 and C = k/6
? A : B : C = k/5 : k/12 : k/6 = 12 : 5 : 10
- 10. ? 750 is distributed among A, B and C such that A : B = 5 : 2, B : C = 7 : 13, then what is A's part?
Options- A. ? 140
- B. ? 250
- C. ? 260
- D. ? 350 Discuss
Correct Answer: ? 350
Explanation:
A : B = 5 : 2 = 5/2 : 1, B : C = 7 : 13 = 1 : 13/7
A : B : C = 5/2 : 1 : 13/7 = 35 : 14 : 26
? A's part = 750 x 35/75 = ? 350
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