Question Details

A product was offered at a 10% trade discount on the marked price. After a cash discount of 10%, the product was sold for ₹7,290. The marked price (in ₹) is:

Options

A

8,510

B

9,000

C

8,900

D

8,720

Show Answer

Correct Answer :

Option B

9,000

Solution :

To find the marked price of the product, we can trace the discounts applied step-by-step.

Let the marked price of the product be M.
First, a trade discount of 10% is offered on the marked price.
The price after the trade discount is:
Price after trade discount = M - 0.10 M = 0.90 M

Next, a cash discount of 10% is applied to this new price.
The selling price (after both discounts) is:
Selling Price = 0.90 M - 0.10 × ( 0.90 M )
Selling Price = 0.90 M × ( 1 - 0.10 ) = 0.90 M × 0.90 = 0.81 M

We are given that the product was sold for ₹7,290. Therefore:
0.81 M = 7290

Now, we solve for M:
M = 7290 0.81
M = 729000 81
Since 81×9=729, we get:
M = 9000

Thus, the marked price of the product is ₹9,000.

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