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Question No. 6 A shopkeeper gives a discount of 16% on the marked price of a product and still gains 20% on the investment by selling a product. However, if customer returns the p he charges y% on the selling price to the customer and still does not lose his profit. What is the value of y? (Round off the answer upto two decimal places).?
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Question No. 6 A shopkeeper gives a discount of 16% on the marked pric...
Calculation of Marked Price and Selling Price:
Let's assume the cost price of the product is Rs. 100.

Gaining 20% on the investment:
Since the shopkeeper gains 20% on the investment, this means he sells the product at a price that is 20% more than the cost price.
Selling Price = Cost Price + 20% of Cost Price = Rs. 100 + (20/100) * 100 = Rs. 120

Discount of 16% on the Marked Price:
Let the marked price of the product be Rs. M.

After applying a discount of 16% on the marked price, the selling price becomes Rs. 120.
So, 100% - 16% = 84% of the marked price = Rs. 120
(84/100) * M = Rs. 120
M = (100/84) * 120 = Rs. 142.86 (approximately)

So, the marked price of the product is approximately Rs. 142.86.

Charging y% on the Selling Price:
Let's assume the customer returns the product and the shopkeeper charges y% on the selling price.

The selling price is Rs. 120, and the shopkeeper charges y% on it.
Final Selling Price = Selling Price + y% of Selling Price

The shopkeeper wants to make sure that even after charging y% on the selling price, he does not lose his profit.

Calculating the value of y:
To find the value of y, we need to equate the final selling price with the cost price (to ensure no loss or profit).

Final Selling Price = Cost Price
120 + (y/100) * 120 = 100

Simplifying the equation:
120 + 1.2y = 100
1.2y = 100 - 120
1.2y = -20
y = -20/1.2
y = -16.67 (approximately)

The value of y is approximately -16.67.

Conclusion:
The value of y is approximately -16.67. This means that the shopkeeper charges a discount of -16.67% on the selling price if the customer returns the product, which ensures that the shopkeeper does not lose his profit.
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Question No. 6 A shopkeeper gives a discount of 16% on the marked price of a product and still gains 20% on the investment by selling a product. However, if customer returns the p he charges y% on the selling price to the customer and still does not lose his profit. What is the value of y? (Round off the answer upto two decimal places).? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Question No. 6 A shopkeeper gives a discount of 16% on the marked price of a product and still gains 20% on the investment by selling a product. However, if customer returns the p he charges y% on the selling price to the customer and still does not lose his profit. What is the value of y? (Round off the answer upto two decimal places).? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Question No. 6 A shopkeeper gives a discount of 16% on the marked price of a product and still gains 20% on the investment by selling a product. However, if customer returns the p he charges y% on the selling price to the customer and still does not lose his profit. What is the value of y? (Round off the answer upto two decimal places).?.
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