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A publisher gives his distributor a discount of 30% on the printed price of the books. The distributor sells those books to a book-seller at 20% discount on the printed price and the book -seller sells these books at their printed price. Calculate the profit per cent made by the distributor.

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11 \frac{1}{7}

14 \frac{2}{7}

17 \frac{1}{7}

20 \frac{2}{7}

answer is B.

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Detailed Solution

Given,
Discount on the printed price by publisher= 30%
Discount on the printed price by distributor = 20%
Let the printed price be

Rs . x

.
Also,
Cost price after discount =

C . P - \frac{Discount %}{100} \times C . P

Then for the distributor:
The, cost price if he buys the books from the publisher after

30

% discount,
C.P =

x - \frac{30}{100} \times x

\Rightarrow

C.P =

x - 0.3 x

\Rightarrow

C.P

= Rs . 0.7 x

And, selling price after giving

20

% discount to the bookseller,
S.P=

x - \frac{20}{100} x

\Rightarrow

S.P=

x - 0.2 x

\Rightarrow

S.P

= Rs . 0.8 x

So, profit % for the distributor is,
Profit

% = \frac{S . P - C . P .}{C . P .} \times 100

\Rightarrow Profit % = \frac{0.8 x - 0.7 x}{0.7 x} \times 100

\Rightarrow Profit % = \frac{0.1 x}{0.7 x} \times 100

\Rightarrow Profit % = \frac{100}{7}

\Rightarrow Profit % = 14 \frac{2}{7} %

Thus, the profit percent is

14 \frac{2}{7} %

.
Therefore, the correct option is 2.

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