A person divided a certain sum between his three sons in the ratio 3 : 4 : 5. Had he divided the sum in the ratio $$\frac{1}{3}:\frac{1}{4}:\frac{1}{5},$$ the son, who got the least share, would have got Rs. 1,188 more. The sum in (in Rs.) was:
A. 6,768
B. 5,640
C. 7,008
D. 6,840
Answer: Option A
Solution(By Examveda Team)
In first case→ 3 : 4 : 5 ⇒ 12 × 47
Second case
→ $$\frac{1}{3}:\frac{1}{4}:\frac{1}{5}$$
⇒ 20 : 15 : 12
⇒ 47 × 12
First case → 141 : 188 : 235
Second case → 240 : 180 : 144
(240 - 141) units → Rs. 1188
99 units → Rs. 1188
1 unit → Rs. 12
Total income = 564 units
= 564 × 12 = 6768
Related Questions on Ratio
If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
A. 2 : 1
B. 14 : 3
C. 7 : 2
D. 1 : 2
If $$\frac{2}{3}$$ of A=75% of B = 0.6 of C, then A : B : C is
A. 2 : 3 : 3
B. 3 : 4 : 5
C. 4 : 5 : 6
D. 9 : 8 : 10
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