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Q: A mixture has 100 kg of sugar, part of which he sells at 7 p.c. profit and the rest at 17 p.c. profit. He gains 10 p.c. on the whole. Find how much he sold at 7% profit?
A. 70 kg and 30 kg B. 30 kg and 70 kg
C. 15 kg and 43 kg D. 25 kg and 30 kg

Answer and Explanation

Answer:30 kg and 70 kg

Explanation:
If the cost price of each kind of sugar be Rs. 100 then the selling price of one kind is Rs .107 (7% profit),Selling price of the other kind is Rs . 117 (17% profit).
Selling price of the mixture = Rs.110
SP of Each R1=117,R2=107
Mixture = 110
Proportion 3:7
Let the quantity of each in 100 kg be 3x & 7x
3x + 7x = 100=>x=10.The quantity of each in 100 kg is 30kg and 70 kg

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