A grocer purchased 150kg of rice at ₹25 per kg. He sells 70kg at a profit of 5%. At what profit per cent should he sell the remaining 80kg so as to make an overall profit of 15%
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Cost Price of 1 kg of rice =₹25. So cost price of 150 kgs of rice =₹25(150)=₹3750. Profit to be obtained =
₹3750(12/100)=₹450. Selling Price of first 70 kgs of rice = ₹25(70)(1+5/100) =₹1837.50. Profit obtained =₹1837.50-₹1750=₹87.50. Profit needed to be obtained from 80 kgs of remaining rice =₹3750-₹1837.50 =₹1912.50. Profit % =1912.50/80(75)×100 =1912.50/60= 31.875%. 31.875 % is the profit percentage at which he needs to sell remaining 80 kgs of rice to obtain overall profit percentage of 15%.
₹3750(12/100)=₹450. Selling Price of first 70 kgs of rice = ₹25(70)(1+5/100) =₹1837.50. Profit obtained =₹1837.50-₹1750=₹87.50. Profit needed to be obtained from 80 kgs of remaining rice =₹3750-₹1837.50 =₹1912.50. Profit % =1912.50/80(75)×100 =1912.50/60= 31.875%. 31.875 % is the profit percentage at which he needs to sell remaining 80 kgs of rice to obtain overall profit percentage of 15%.
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