A and B invest in a business in the ratio $3: 2$. If 5\% of the total profit goes to charity and A's share is ₹ 855, the total profit is
(a)₹ 1425
(b)₹ 1500
(c)₹ 1537.50
(d)₹ 1576
Answer
Answer (as printed): B
Explanation
Let the total profit be ₹ 100. After paying to charity, A's share $=₹\left(95 \times \frac{3}{5}\right)=₹ 57$. If A's share is ₹ 57, total profit $=₹ 100$. If A's share is ₹ 855, total profit $=\left(\frac{100}{57} \times 855\right)=1500$.
Explanation as extracted from the printed page; notation may be imperfect.