Exams › SSC CGL (Prelims) › General

A bag contains ₹10, ₹5, and ₹2 coins in the ratio 3:4:5. If the total amount of money in the bag is ₹600, find the number of coins of each kind.

1. 20 coins of ₹10, 30 coins of ₹5, and 40 coins of ₹2
2. 30 coins of ₹10, 40 coins of ₹5, and 50 coins of ₹2
3. 15 coins of ₹10, 20 coins of ₹5, and 25 coins of ₹2
4. 45 coins of ₹10, 60 coins of ₹5, and 75 coins of ₹2

Correct answer: 30 coins of ₹10, 40 coins of ₹5, and 50 coins of ₹2

Solution

If the numbers of coins are in the ratio 3:4:5, let them be 3x, 4x, and 5x. Their total value is \(10(3x)+5(4x)+2(5x)=30x+20x+10x=60x\), which equals 600, so \(x=10\). Thus the numbers are 30, 40, and 50.

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