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Divya has 1500 coins which are in the combination of gold and silver in the ratio of 5 ∶ 7. She distributed the silver coins among his three sons Nimesh, Monil and Gaurav in the ratio of 7 ∶ 12 ∶ 6. If Gaurav and Monil combined 60% of their silver coins and made jewelry from it and sell the remaining silver coins at Rs. 500 per coin, then the amount earned from selling of silver coin was distributed between Monil and Gaurav in the ratio of 12 ∶ 13. Find the difference between the amount earned by Gaurav and Monil from the silver coin transaction.

Divya has 1500 coins which are in the combination of gold and silver in the ratio of 5 ∶ 7. She distributed the silver coins among his three sons Nimesh, Monil and Gaurav in the ratio of 7 ∶ 12 ∶ 6. If Gaurav and Monil combined 60% of their silver coins and made jewelry from it and sell the remaining silver coins at Rs. 500 per coin, then the amount earned from selling of silver coin was distributed between Monil and Gaurav in the ratio of 12 ∶ 13. Find the difference between the amount earned by Gaurav and Monil from the silver coin transaction. Correct Answer Rs. 5040

Total number of coins = 1500 coins

Number of gold coins = (5/12) × 1500 = 625 coins

Number of silver coins = 1500 - 625 = 875 coins

Silver coins earned by Monil = × 875 = (12/25) × 875 = 420 coins

Silver coins earned by Gaurav = × 875 = (6/25) × 875 = 210 coins

Number of coins sold = (40% of 420) + (40% of 210) = (0.4 × 420) + (0.4 × 210)

⇒ (168 + 84) = 252 coins

Amount earn by selling the coins = (500 × 252) = Rs.126000

Part of amount earned Gaurav = (13/25) × 126000 = Rs.65520

Part of amount earned  Monil = (12/25) × 126000 = Rs.60480

∴ Required difference = Amount earn by Gaurav - Amount earn by  Monil = 65520 - 60480

= Rs.5040

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