| A, B and C started a business with their investment in the ratio 1: 3: 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year was |
A) 5: 6: 10
B) 6: 5: 10
C) 10: 5: 6
D) 4: 3: 5
Correct Answer: A
Solution :
| Let their initial investments be Rs. x, Rs.3x and Rs. 5x, respectively. |
| Then, A: B: C |
| \[=(x\times 4+2x\times 8):\left( 3x\times 4+\frac{3x}{2}\times 8 \right):\left( 5x\times 4+\frac{5x}{2}\times 8 \right)\]\[=\,\,(4x+16x):(12x+12x):(20x+20x)\] |
| \[=\,\,20x:24x:40x=5:6:10\] |
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