| 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 |
A) 25: 18: 10
B) 24: 23: 21
C) 6: 8: 9
D) 1: 2: 3
Correct Answer: A
Solution :
| Let amount received to \[\text{C}=\text{Rs}\text{.}\,\,x\] |
| Amount received to \[\text{B}=\text{Rs}\text{.}\,\,x+8\] |
| Amount received to \[\text{A}=\text{Rs}\text{.}\,\,(x+8+7)\] |
| \[=\text{Rs}.\,\,x+15\] |
| 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 \[=25:18:10\] |
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