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A sold an article to B at a profit of 25%, B sold it to C at a loss of 10% and C sold it to D at a profit of 20%. If D pays 27 Rs. Then how much did A pay to buy this article ?

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None of the above

answer is C.

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Detailed Solution

Concept- The winning percentage formulas are winning percentage

and winning percentage

.
The problem is related to handling sales and purchase cases. If the cost of A is and the selling price is. The winning percentage is given by.

A sells to B with a 25% profit. This means that the selling price is 25% higher than the cost price.
Question Image

When the cost of A is

and the selling price is

. The loss rate is given by.
Question Image

The selling price of A is the cost of B. Substitute

from equation (1) to equation (2).
Question Image

When the cost of A is

and the selling price is

. The winning percentage is given by.
Question Image

Selling price of B

is the cost price of C

. Substitute

from equation (3) in equation (4),
Question Image

Hence, the correct answer is option (3)

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