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A merchant buys 20kg of wheat at Rs.30.00 per kg and 40kg wheat at Rs.25.00 per kg. He mixes them and sell one third of the mixture at...
A merchant buys 20kg of wheat at Rs.30.00 per kg and 40kg wheat at Rs.25.00 per kg. He mixes them and sell one third of the mixture at Rs.26.00 per kg. The price at which the merchant should sell the remaining mixture so that he may earn a profit of 25% on his whole outlay is ?
A
40
B
39
C
38
D
37
E
36
A
40
B
39
C
38
D
37
E
36
Solution
Total Quantity of wheat purchased = 20 + 40 = 60 kgTotal cost of purchase = 20(30) + 40(25) = 600 + 1000 = Rs.1600Required profit = 25%Total selling price must...
Total Quantity of wheat purchased = 20 + 40 = 60 kg
Total cost of purchase = 20(30) + 40(25) = 600 + 1000 = Rs.1600
Required profit = 25%
Total selling price must be = 1.25(1600) = Rs.2000
Selling price of 1/3rd quantity of wheat = (1/3) × (60) × (26) = Rs.520
Selling price of remaining quantity must be = 2000 − 520 = Rs.1480
Selling price per kg of remaining quantity = 1480/40 = Rs.37
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