A, B and C enter into a partnership by making investments in the ratio 3 : 5 : 7. After a year, C invests another ₹ 337600 while A withdraws ₹ 45600. The ratio of investments then changes to 24 : 59 : 16.7. How much did A invest initially?
(a)₹ 45600
(b)₹ 96000
(c)₹ 141600
(d)None of these
Answer
Answer (as printed): C
Explanation
Let the initial investments of A, B, C, be ₹ $3 x$, ₹ $5 x$ and ₹ $7 x$ respectively. Then, $$\begin{aligned} & (3 x-45600): 5 x:(7 x+337600)=24: 59: 167 . \\ & \therefore \quad \frac{3 x-45600}{5 x}=\frac{24}{59} \Rightarrow 177 x-2690400=120 x \Rightarrow 57 x \\ & =2690400 \Rightarrow x=47200 . \end{aligned}$$ Hence, A's initial investment $=₹(47200 \times 3)=₹ 141600$.
Explanation as extracted from the printed page; notation may be imperfect.