Ratio and Proportion problems
- 1. What sum of money is to divided among 3 persons in the ratio 3 : 4 : 7, so that the second person receives ? 12 only?
Options- A. ? 21
- B. ? 32
- C. ? 9
- D. ? 42 Discuss
Correct Answer: ? 42
Explanation:
Let required money be ? N.
Then,
(4/14) x N = 12
? N = (12 x 14)/4
= ? 42
- 2. The price of a scooter and a television are in the ratio of 8 : 7. If a scooter costs ? 2000 more than television, then find out the price of television.
Options- A. ? 14000
- B. ? 28000
- C. ? 10000
- D. ? 18000 Discuss
Correct Answer: ? 14000
Explanation:
Let the price of scooter = 8k and price of television = 7k
According to the question,
8k - 7k = 2000
? k = 2000
? Price of television = 7k = 7 x 2000
= ? 14000
- 3. The Ratio Between the rates of walking of A and B is 2: 3. If the time taken by B to cover a certain distance is 36 minutes, then time taken by A to cover that much distance is?
Options- A. 24min.
- B. 54min
- C. 48min
- D. 21.6min Discuss
Correct Answer: 54min
Explanation:
Ratio of times taken = 1/2: 1/3
1/2 : 1/3 = y : 36
1/3y = 1/2 x 36
y=54 min
- 4. The sum of three numbers is 68. If the ratio between first and second be 2 : 3 and that between second and third be 5 : 3, then the second number?
Options- A. 30
- B. 20
- C. 58
- D. 48 Discuss
Correct Answer: 30
Explanation:
Let the 3 numbers are a, b, c.
Then, a/b = 2/3, b/c = 5/3
? a/b = (2 x 5) / (3 x 5) = 10/15
and b/c = (5 x 3)/(3 x 3) = 15/9
? a : b : c = 10 : 15 : 9
Let the number be 10y, 15y and 9y.
Then, 10y + 15y + 9y = 68
? 34y = 68
? y = 2
? Second number = 15y
= 15 x 2
= 30.
- 5. Three number are in the ratio 3 :4 : 5 . The sum of the largest and the smallest equals the sum of the third and 52. The smallest number is?
Options- A. 20
- B. 27
- C. 39
- D. 52 Discuss
Correct Answer: 39
Explanation:
Let the numbers be 3N, 4N and 5N.
Then, 5N + 3N = 4N + 52
? 4N = 52
? N = 13
? Then smallest number = 3N = 3 x13 = 39.
- 6. Rs. 5625 is divided among A, B and C so that A may receive 1/2 as much as B and C together receive and B receives 1/4 of what A and C together receive. The share of A is more than that of B by?
Options- A. Rs. 750
- B. Rs. 775
- C. Rs. 1500
- D. Rs. 1600 Discuss
Correct Answer: Rs. 750
Explanation:
? A = (B + C)/2
? B + C = 2 A
? A + B + C = 3A
Thus 3A = 5625
? A = Rs. 1875
Again B = ( A + C )/4
? A + C = 4B
? A + B + C = 5B
? 5B = 5625
? B = Rs. 1125
Thus A's share is more than that of B by Rs. (1875-1125) I.e. Rs. 750.
- 7. A certain amount was divided between Kavita and Reena in the ratio 4 : 3. If Reena's share was Rs. 2400. The amount is?
Options- A. Rs. 5600
- B. Rs, 3200
- C. Rs. 9600
- D. None of these Discuss
Correct Answer: Rs. 5600
Explanation:
Let their shares be Rs. 4x and Rs. 3x.
Then 3x = 2400
? x = 800
? Total amount = 7x = Rs. 5600
- 8. A, B and C can do a work in 20, 25 and 30 days respectively. They undertook to finish the work together for Rs. 2220, then the share of A exceeds that of B by?
Options- A. Rs. 120
- B. Rs. 180
- C. Rs. 300
- D. Rs. 600 Discuss
Correct Answer: Rs. 180
Explanation:
Ratio of shares of A, B and C = 1/20 : 1/25 : 1/30 = 15 : 12 : 10
? A's share = Rs.(2220 x 15/37) = Rs. 900
B's share = Rs.(2220 x 12/37) =Rs. 720
Thus, the share of A exceeds that of B by Rs.(900 - 720) = Rs. 180.
- 9. The monthly salary of A, B, C is in the proportion of 2 : 3 : 5. If c's monthly salary is Rs. 1200 more than that of A, then B's annual salary is?
Options- A. Rs. 14400
- B. Rs. 24000
- C. Rs. 1200
- D. Rs. 2000 Discuss
Correct Answer: Rs. 14400
Explanation:
Let the monthly salary of A, B, C be Rs. 2x, Rs.3x and Rs. 5x respectively.
Then, 5x - 2x = 1200
? x = 400
? B's monthly salary = 3x = Rs. 1200
Hence, B's annual salary = Rs. (12 x 1200)= Rs. 14400
- 10. A bag contains 25 paise,10 paise and 5 paise coins in the ratio 1 : 2 : 3. If their total value is Rs. 30, the number of 5 paise coins is?
Options- A. 50
- B. 100
- C. 150
- D. 200 Discuss
Correct Answer: 150
Explanation:
Ratio of their values = 1/4 : 2/10 : 3/20 = 5 : 4 : 3
? Value of 5 paise coins =Rs. (30 x 3/12) = Rs. 7.50
? Number of 5 paise coins = 750/5 = 150
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