A and B enter into a partnership with Rs. 50000 and Rs. 60000 respectively. C joins them after x months, contributing Rs. 70000 and B leaves x months before the end of the year. If they share the profit in the ratio of 20 : 18 : 21, then the value of x is = ?
A. 3
B. 6
C. 8
D. 9
Answer: Option A
Solution(By Examveda Team)
Clearly, A invested his capital for 12 monthswhile each one of B and C invested his capital for (12 - x) months
Ratio of profits os A, B, C
$$ = \left( {50000 \times 12} \right)$$ : $$\left[ {60000 \times \left( {12 - x} \right)} \right]$$ : $$\left[ {70000 \times \left( {12 - x} \right)} \right]$$
$$\eqalign{ & = 60:6\left( {12 - x} \right):7\left( {12 - x} \right) \cr & {\text{But ratio of profits}} \cr & = 20:18:21 \cr & = 60:54:63 \cr} $$
$$\therefore 60:\left( {72 - 6x} \right):\left( {84 - 7x} \right)$$ = $$60$$ : $$54$$ : $$63$$
$$\eqalign{ & {\text{So, }}72 - 6x = 54 \cr & \Rightarrow 6x = 18 \cr & \Rightarrow x = 3 \cr} $$
Related Questions on Partnership
A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. None of these
A. Rs. 40000
B. Rs. 50000
C. Rs. 60000
D. Rs. 70000
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