A lady sells a washing machine for Rs. 13,500 and in doing so, she loses 20% in the bargain. the price at which she bought the machine is:

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A lady sells a washing machine for Rs. 13,500 and in doing so, she loses 20% in the bargain. the price at which she bought the machine is:

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Rs. 16875

Rs. 17945

Rs. 18459

Rs. 20000

answer is A.

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Detailed Solution

Concept: To solve this question, we will need to know the concept of Profit and Loss, as well as
Profit and Loss percentages.
C.P. Stands for the cost price of a product.
S.P. stands for the selling price of a product.
If S.P. is greater than C.P., then the difference of S.P. and C.P. is known as “Profit”.
The margin of profit on C.P. is known as the “Gain Percentage”
Profit = S.P. – C.P. (in case, S.P. > C.P.)
Gain Percentage =

Similarly, If C.P. is greater than S.P., then the difference of C.P. and S.P. is known as “Loss”.
The margin of Loss on C.P. is known as the “Loss Percentage”
Loss =C.P. – S.P. (in case, C.P. > S.P.)
Loss Percentage =

Here, the S.P. is provided in the question along with the Loss Percentage.
We will assume the C.P. to be

and form an equation of

with the condition mentioned in the question. Solving for

will give us our required answer.
Given, the lady sells the washing machine with a loss percentage of 20.
Therefore,

, (where

is already assumed to be the C.P.)
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Hence, the correct answer is 1 Rs. 16875.

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