GATE CS 2018 QGA-6 — General Aptitude

Let $M$ be the number of eligible male senior citizens and $W$ be the number of eligible female senior citizens in the town.

We are given that the total number of eligible senior citizens is $300$: $$M + W = 300$$

The philanthropist gifts Rs $750$ to each claiming male and Rs $1000$ to each claiming female. Since only $\frac{8}{9}$ of the men and $\frac{2}{3}$ of the women claimed the gift, the total money distributed ($T$) is:

Let us simplify the coefficients for both terms:

• For men: $\frac{8}{9} \times 750 = \frac{8 \times 250}{3} = \frac{2000}{3}$
• For women: $\frac{2}{3} \times 1000 = \frac{2000}{3}$

Substituting these simplified values back into the equation for $T$:

Since $M + W = 300$:

Thus, the philanthropist gave away a total of Rs 2,00,000.