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A retailer permits a trade discount of 25%, followed by a cash discount of 8%, on an article. The net percentage of discount is:
Question

A retailer permits a trade discount of 25%, followed by a cash discount of 8%, on an article. The net percentage of discount is:

A.

​ 33%

B.

​ 34%

C.

​ 32%

D.

​ 31%

Correct option is D

Given:

- Trade Discount = 25%

- Cash Discount = 8% (applied after trade discount)

Solution:

Let the marked price of the article be Rs. 100.

After Trade Discount of 25%, price = 100 - 25% of 100 = Rs. 75

Now, apply 8% cash discount on Rs. 75

Cash Discount = 8% of 75 = Rs. 6

Final price = 75 - 6 = Rs. 69

So, effective discount = 100 - 69 = Rs. 31

Net Percentage Discount = (31 / 100) × 100 = 31%

The net percentage of discount is 31%.

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