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Q: Two liquids are mixed in the ratio 5:3 and by selling the mixture at Rs 12.25 / liter, a profit of 16 2/3 percent is made. If the first liquid costs Rs 4 / liter more than the second, find the price per liter of each liquid.
A. Rs 4 and Rs 12 B. Rs 8 and Rs 12
C. Rs 12 and Rs 8 D. Rs 8 and Rs 9

Answer and Explanation

Answer:Rs 8 and Rs 12

Explanation:
SP of mixture = 12.25
CP of mixture = 12.25(100/116 2/3) = 10.50
Let the CP of the two liquids be Rs x and Rs x+4 respectively

Price liquid1=x+4, liquid2=x
Resultant = 10.5

Proportion 10.5-x : x-6.5

(10.5 - x)/(x – 6.5) = 5/3 =>x=8
Prices of the two liquids = Rs 8 and Rs 12

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