By mistake, instead of dividing ₹702 among Ram, Ramesh, and Naresh in the ratio $\frac{1}{3}:\frac{1}{4}:\frac{1}{6}$, it was divided in the ratio of 3 : 4 : 6. Who gained the most and by how much?
Answer & explanation
Correct answer: option 3
Total Amount = Rs 702
Let $\frac{1}{3}$ : $\frac{1}{4}$ : $\frac{1}{6}$ = 4 : 3 : 2
Actual amount they received,
Ram = (702 x $\frac{4}{9}$) = Rs 312
Ramesh = (702 x $\frac{3}{9}$) = Rs 234
Naresh = (702 x $\frac{2}{9}$) = Rs 156
But, due to mistake they received money in the ratio 3 : 4 : 6
Ram = (702 x $\frac{3}{13}$) = Rs 162
Ramesh = (702 x $\frac{4}{13}$) = Rs 216
Naresh = (702 x $\frac{6}{13}$) = Rs 324
loss of Ram = Rs 150, loss of Ramesh = Rs 18, gain of Naresh = Rs 168
Thus, Naresh gained Rs 168 in the transaction