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GATE 2018 CS – Question 6

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

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 $8/9^{th}$ of the eligible men and $2/3^{rd}$ of the eligible women claimed the gift. How much money (in Rupees) did the philanthropist give away in total?

  1. 1,50,000
  2. 2,00,000
  3. 1,75,000
  4. 1,51,000

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Correct answer: (B) 2,00,000

Explanation

Let there be $m$ men and $300-m$ women. The amount is $750\cdot\frac89m+1000\cdot\frac23(300-m)=\frac{2000}{3}m+\frac{2000}{3}(300-m)=\frac{2000}{3}\times300=2{,}00{,}000$.