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A shopkeeper offers a discount of 22% on the marked price of each chair, and gives 13 chairs to a customer for the discounted price of 12 chairs to earn a profit of 26% on the transaction. If the cost price of each chair is Rs 100, then the marked price, in rupees, of each chair is

Entered answer:

Solution

✅ Correct Answer: 175

Let the Marked Price of each chair =M= M

After a 22% discount, the customer pays 78% of the marked price.

Discounted Price per chair =0.78M= 0.78M


The shopkeeper gives 13 chairs but charges for only 12 chairs at the discounted price.

Total Selling Price =12×0.78M= 12 \times 0.78M

=9.36M= 9.36M


The shopkeeper gives away 13 chairs, so:

Total Cost Price =13×100= 13 \times 100

=1300= 1300


A profit of 26% means Selling Price =126%= 126\% of Cost Price.

9.36M=1300×1261009.36M = 1300 \times \dfrac{126}{100}

9.36M=16389.36M = 1638

M=16389.36M = \dfrac{1638}{9.36}

M=175M = 175


The Marked Price of each chair =175= 175

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