Question: 53 should be divided among A, B and C in such a way that A will receive Rs. 7 more than B and B will receive Rs. 8 more than C. The ratio of their shares
Options:
A) 25: 18: 10
B) 24: 23: 21
C) 6: 8: 9
D) 1: 2: 3
Show Answer
Answer:
Correct Answer: A
Solution:
- Let amount received to $ C=Rs\text{.}x $
Amount received to $ B=Rs\text{.}x+8 $
Amount received to $ A=Rs\text{.}(x+8+7) $
$ =Rs.x+15 $
According to the question,
$ x+15+x+8+x=53 $
$ \Rightarrow $ $ 3x=30 $
$ \Rightarrow $ $ x=10 $
Amount received by $ A=Rs.25 $
Amount received by $ B=Rs.18 $
Amount received by $ C=Rs.10 $
$ \therefore $ Required ratio $ =25:18:10 $