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A shopkeeper earns a profit of 10% on selling a book at 15% discount on the marked price. The ratio of the cost price to the marked price of the book is

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112 : 17

17 : 22

112 : 85

None of these

answer is B.

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Detailed Solution

Concept- The simple concept of comparing quantities like selling price, market price and cost price to determine the required solution. Gain and profit percent is part of it.

M . P . = market price

S . P . = selling price

C . P = cost price

Let the printed price be

Rs . 100

sell price = 100 - 15

sell price = 85

It’s given that he is gaining a profit of

10 %

C . P . = \frac{M . P .}{Gain + M . P .} \times S . P .

Here,

Gain + M . P . = 100 + 10 = 110

C . P . = \frac{100}{110} \times 85

C . P . = Rs . \frac{8500}{110}

C . P . = \frac{850}{11}

Now,

C . P . : Printed price = \frac{850}{11} : 100

C . P . : Printed price = \frac{85}{110}

C . P . : Printed price = 17 : 22

The ratio of the cost price to the marked price of the book is

17 : 22

.
Hence, the correct option is 2.

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