A shopkeeper mixes two types of coffee. He sells the first one at 5% profit at Rs. 126 and the second one at 20% profit at Rs. 576. In what ratio should he mix these two types of coffee to gain 25% by selling the mixture at Rs. 285?
A
2:3
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B
7:3
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C
4:1
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D
3:4
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Solution
The correct option is B 7:3 For the first type of coffee, profit = 5% and selling price = Rs. 126; so, CP = Rs. 120
For the second type of coffee, profit = 20% and the SP = Rs. 576; so, CP = Rs. 480
For the mixed coffee, profit = 25% and SP = Rs. 285; so, CP = Rs. 228
So, we need to mix 120 and 480 in a ratio to get 228.
We will use alligation.
So, the ratio = 252:108 = 7:3
Hence, option (B) is the correct answer.