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There are three books coded as A, B and C. The price of book A is twice the price of book B and one-third the price of book C. If book C costs Rs. 84, then what are the costs of book A and book B, respectively?

There are three books coded as A, B and C. The price of book A is twice the price of book B and one-third the price of book C. If book C costs Rs. 84, then what are the costs of book A and book B, respectively? Correct Answer Rs. 28 and Rs. 14

Given:

Three books coded as A, B and C.

1) The price of book A is twice the price of book B

=> A = 2B → eq. 1

2) The price of book A is one-third the price of book C

=> A = 1/3 C → eq. 2

3) Book C costs Rs. 84

Put the value in eq. 2

=> A = 1/3 × 84

=> A = 28

Put the value of A in eq 1;

=> A = 2B

=> 28 = 2B

=> B = 28 ÷ 2

=> B = 14

Hence, the costs of book A and book B, respectively “Rs. 28 and Rs. 14”.

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