By mistake, instead of dividing Rs 702 among Ram, Ramesh, and Naresh in the ratio : : , it was divided in the ratio of 3 : 4: 6. Who gained the most and by how much?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Naresh, Rs 168.
Calculations:
Original ratio of division of money = : :
⇒ 4 : 3 : 2
The original share of Ram, Ramesh, and Naresh was 4x, 3x and 2x
Share of Ram = (702/9x) × 4x = 312
Share of Ramesh = (702/9x) × 3x = 234
Share of Naresh = (702/9x) × 2x = 156
By mistake the share is divided in the ratio of 3 : 4 : 6
Now, the share of Ram, Ramesh, and Naresh is 3y, 4y and 6y
Share of Ram = (702/13y) × 3y = 162
Share of Ramesh = (702/13y) × 4y = 216
Share of Naresh = (702/13y) × 6y = 324
Hence we can see that Naresh gained the most = 324 - 156 = 168