A shopkeeper earns a profit of 35 when he sells articles at a discount of 10 What will be the profit...........

A shopkeeper earns a profit of 35% when he sells articles at a discount of 10%. What will be the profit percentage if he gives 20% discounts?

This questions was previously asked in

RRB Clerk Prelims (13 Aug, 2022 Shift 1)

20%

17.5%

25%

15%

12.5%

- Initially, the shopkeeper sells articles with a 35% profit at a 10% discount.

- Selling Price with a 10% discount = 90% of the Marked Price (MP).

- Given: Profit = 35%, so Cost Price (CP) = 100/135 of the Selling Price with 10% discount.

- Now, if he offers a 20% discount, Selling Price = 80% of MP.

- The new profit percentage formula: (New Selling Price - CP) / CP * 100.

- Let's calculate:

- For a 10% discount, Selling Price is 90% of MP

- With a 35% profit: CP = 90% of MP / 1.35

- With 20% discount: New Selling Price = 80% of MP

- New profit percentage = [(80% of MP - CP) / CP] * 100

- Calculation shows the profit is 20%.

- .

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