Ratio and Proportion problems
- 1. A, B and C started a business by investing ? 28000, ? 35000 and ? 14000, respectively, At the end of a year, they got a total profit of ? 5225. Find A's share?
Options- A. ? 1740
- B. ? 1850
- C. ? 1900
- D. ? 1650 Discuss
Correct Answer: ? 1900
Explanation:
Ratio of shares of A, B and C = Ratio of their investments
= 28000 : 35000 : 14000 = 4 : 5 : 2
? A's share = (4/11) x 5225 = ? 1900
- 2. A, B and C started a business by investing ? 45000, ? 55000 and ? 60000, respectively, At the end of the year, they got a total profit of ? 11200. Find how much B gets more than A in the profit?
Options- A. ? 700
- B. ? 750
- C. ? 710
- D. ? 780 Discuss
Correct Answer: ? 700
Explanation:
Ratio of share of A, B and C = Ratio of their investments
= 45000 : 55000 : 60000 = 9 : 11 : 12
A's share = (9/32) x 11200 = ? 3150
B's share = (11/32) x 11200 = ? 3850
? B's share more than A = ( 3850 - 3150) = ? 700
- 3. If 2A = 3B = 4C then, find A : B : C?
Options- A. 2 : 3 : 4
- B. 4 : 3 : 2
- C. 6 : 4 : 3
- D. 3 : 4 : 6 Discuss
Correct Answer: 6 : 4 : 3
Explanation:
Given 2A = 3B = 4C
Now 2A = 3B
? A/B = 3/2
or A : B = 3 : 2 = (3 x 2) : (2 : 2) = 6 : 4
Again 3B = 4C
? B/C = 4/3
or B : C = 4 : 3
? A : B : C = 6 : 4 : 3
- 4. Find the 4th proportional to 4 , 16 and 7 ,
Options- A. 28
- B. 29
- C. 22
- D. 25 Discuss
Correct Answer: 28
Explanation:
Lat the 4th proportional = N
Then, 4 : 16 : : 7 : N
? 4/16 = 7/N
? 4N = 7 x 16
? N = (7 x 16)/4 = 7 x 4 = 28
- 5. What will be the duplicate ratio of 2 : 7?
Options- A. 4 : 49
- B. 49 : 4
- C. 4 : 14
- D. 8 : 343 Discuss
Correct Answer: 4 : 49
Explanation:
Required duplicate ratio of
2 : 7 = 22 : 72 = 4 : 49
- 6. Find the sub-duplicate ratio of 81 : 64?
Options- A. 8 : 9
- B. 4 : 9
- C. 9 : 8
- D. 7 : 8 Discuss
Correct Answer: 9 : 8
Explanation:
Required sub - duplicate ratio of 81 : 64 = ?81 : ?64 = 9 : 8
- 7. Find the triplicate ratio of 7 : 5?
Options- A. 125 : 343
- B. 343 : 125
- C. 344 : 125
- D. 343 : 126 Discuss
Correct Answer: 343 : 125
Explanation:
Required triplicate ratio of 7 : 5 = 73 : 53
= 343 : 125
- 8. What will be the inverse ratio of 17 : 19?
Options- A. 19 : 17
- B. 18 : 17
- C. 17 : 18
- D. 19 : 5 Discuss
Correct Answer: 19 : 17
Explanation:
Required inverses ratio of 17 : 19 = (1/17) : (1/19) = 19 : 17
- 9. If a : b = b : c, then ratio a 4 : b 4 is equal to
Options- A. ac : b2
- B. a2 : c2
- C. c2 : a2
- D. b2 : ac Discuss
Correct Answer: a2 : c2
Explanation:
Given that a /b = b/c
? b2 = ac
? a4 : b4 = a4 : a2 c2 = a2 : c2
- 10. If a : b = 3 : 5 and b : c = 4 : 7 then a : c is equal to
Options- A. 11 : 35
- B. 35 : 11
- C. 35 : 12
- D. 12 : 35 Discuss
Correct Answer: 12 : 35
Explanation:
Given that, a/b = 3/5, b/c = 4/7
? a/c = a/b x b/c = 3/5 x 4/7 = 12/ 35
&there4: a : c = 12 : 35
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