Discussion of Question with ID = 024 under Alligations-and-Mixtures

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Question

An electronics shop sold 8 TV sets at a 8% profit, and 2 Coolers at 3% profit. What is the average percentage profit earned by the shop?

A

7%.

B

8%.

C

6%.

D

10%.

Soln.
Ans: a

We shall use the alligation formula. If a sample n1 has an average property of A1, and another sample n2 has an average property of A2, then the average property of the mixture, A, is determined by the alligation formula as: n1(A - A1) = n2(A2 - A). Putting A2 = 3, A1 = 8, n1 = 8, n2 = 2, we have 8 × (A - 8) = 2 × (3 - A), from where we get A = 7%. The "property" in the alligation formula could be percentage, speed, weight, price, etc.,