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A boy opened his piggy bank filled with coins. It contained Rs. 10, Rs. 5, Rs. 2 and Rs. 1 coins in the ratio 3 ∶ 1 ∶ 4 ∶ 2 respectively. If the piggy bank had a total of Rs. 180, how many total coins were there in the piggy bank?

A boy opened his piggy bank filled with coins. It contained Rs. 10, Rs. 5, Rs. 2 and Rs. 1 coins in the ratio 3 ∶ 1 ∶ 4 ∶ 2 respectively. If the piggy bank had a total of Rs. 180, how many total coins were there in the piggy bank? Correct Answer 40

Let the number of coins of Rs. 10, Rs. 5, Rs. 2 and Rs. 1 be ‘3x’, ‘x’, ‘4x’ and ‘2x’ respectively

Total amount of money = Rs. 180

⇒ (10 × 3x) + (5 × x) + (2 × 4x) + (1 × 2x) = 180

⇒ 30x + 5x + 8x + 2x = 180

⇒ 45x = 180

⇒ x = 180/45 = 4

∴ Total no. of coins = 3x + x + 4x + 2x = 10x = 10(4) = 40

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