GATE AG 2024 • Q4 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Data Interpretation

Question Statement:

The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is

Options:

  • (A) 21%
  • (B) 14 2/7 %
  • (C) 10%
  • (D) 30%

Official Answer Key:

C

Step-by-Step Solution & Explanation

Let the numbers of coins be 5x, 3x and 13x. Value of each denomination: ₹1 coins: 5x × 1 = 5x ₹5 coins: 3x × 5 = 15x ₹10 coins: 13x × 10 = 130x Total amount = 5x + 15x + 130x = 150x Percentage in ₹5 coins = (15x/150x) × 100 = 10% Trap: option (B) 14 2/7 % is the percentage of the number of coins (3/21), not of the money.

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