Hari bought 20 kg of rice at rs36 per kg and 25 kg of rice at rs32 per kg. he mixed the two varieties and sold the mixture at rs38 per kg. find his gain per cent in the whole transaction.
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Cost of 1 kg rice = Rs. 36 per kg
Cost of 20 kg rice = 36*20 = Rs. 720
Cost of 1 kg rice = Rs. 32 per kg
Cost of 25 kg rice = 32*25 = Rs. 800
Total quantity of rice = 20 + 25 = 45 kg
Cost of 45 kg rice = 720 + 800 = Rs. 1520
Selling price of the new mixture = Rs. 38 per kg
selling price of 45 kg rice = 38*45 = Rs. 1710
Gain = 1710 - 1520 = Rs. 190
Gain = Rs. 190
Gain % = (Gain*100)/cost price
⇒ (190*100)/1520
⇒ 19000/1520
= 12.5 %
So, on whole transaction, Hari got profit of 12.5 %
Answer.
Cost of 1 kg rice = Rs. 36 per kg
Cost of 20 kg rice = 36*20 = Rs. 720
Cost of 1 kg rice = Rs. 32 per kg
Cost of 25 kg rice = 32*25 = Rs. 800
Total quantity of rice = 20 + 25 = 45 kg
Cost of 45 kg rice = 720 + 800 = Rs. 1520
Selling price of the new mixture = Rs. 38 per kg
selling price of 45 kg rice = 38*45 = Rs. 1710
Gain = 1710 - 1520 = Rs. 190
Gain = Rs. 190
Gain % = (Gain*100)/cost price
⇒ (190*100)/1520
⇒ 19000/1520
= 12.5 %
So, on whole transaction, Hari got profit of 12.5 %
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