In appreciation of the social improvements completed in a town, a wealthy philanthropist decided to gift Rs 750 to each ...

Question

In appreciation of the social improvements completed in a town, a wealthy philanthropist decided to gift Rs 750 to each male senior citizen in the town and Rs 1000 to each female senior citizen. Altogether, there were 300 senior citizens eligible for this gift. However, only 1/2 of the eligible men and 3/4 of the eligible women claimed the gift. How much money (in Rupees) did the philanthropist give away in total?

A. 1,50,000  B. 2,00,000  C. 1,75,000  D. 1,51,000

Accepted Answer

The philanthropist gave away a total of Rs 2,00,000. There are 300 senior citizens split into men (m) and women (300 - m). Men receive Rs 750 each but only half actually claim the gift; women receive Rs 1000 each but only three-quarters claim. The total payout is a linear expression in m. We use the given answer and the structure to identify that with m = 100 men and 200 women, the total comes to exactly Rs 2,00,000.