Discussion
The cost price of 232 books is the same as the selling price of x books. If the profit is 16%, then the value of x is.
Answer: C
The value of x is 200. The cost price of 232 books equals the selling price of x books. With a profit of 16% the selling price of one book is 1.16 times its cost price, so \[ 232\times CP = x\times 1.16\times CP \] \[ x = \frac{232}{1.16} = 200 \] Check: \(200\times 1.16 = 232\), so the selling price of 200 books equals the cost price of 232 books, which no other option satisfies.
In general, if n books cost the same as x books sell for at a profit of p percent, then x = n / (1 + p/100), here 232 / 1.16 = 200.
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