At a 10% discount on its marked price, a toaster is sold for Rs. 18,000.\nWhat will be its selling price if instead a discount of 37.5% is offered on the same marked price?

Introduction / Context:
This question combines discount calculation and reverse use of percentage to find the marked price, followed by a second discount scenario. It is typical of profit and loss or pricing problems where the same product is sold under different discount schemes. Understanding how to recover the marked price from a discounted price is a common requirement.

Given Data / Assumptions:

• Selling price of the toaster at 10% discount = Rs. 18,000.
• That means a discount of 10% was applied on the marked price.
• We need to find the selling price if a discount of 37.5% is applied instead on the same marked price.
• No other costs, such as tax or shipping, are included.

Concept / Approach:
First, express the relationship between marked price and selling price under the 10% discount. If the discount is 10%, the customer pays 90% of the marked price. Thus, selling price = 0.9 * marked price. From this we can find the marked price. Then under the second scenario, we apply the 37.5% discount, so the customer pays 62.5% of the same marked price. Finally, we compute that new selling price and compare it with the options.

Step-by-Step Solution:
Step 1: Let the marked price be M rupees.Step 2: At a 10% discount, the selling price is 90% of M, so 0.9 * M = 18,000.Step 3: Solve for M: M = 18,000 / 0.9 = 20,000 rupees.Step 4: Under the 37.5% discount, the percentage paid is 100% - 37.5% = 62.5% = 0.625.Step 5: New selling price = 0.625 * M = 0.625 * 20,000 = 12,500 rupees.

Verification / Alternative check:
We can also think about fractions. A 10% discount leaves 9 parts out of 10, so 9/10 of the marked price equals 18,000, which means each tenth is 2,000 and the full marked price is 20,000. For a 37.5% discount, the customer pays 5/8 of the marked price because 37.5% equals 3/8 and 1 - 3/8 = 5/8. Thus, new selling price = 5/8 of 20,000 = (5 * 20,000) / 8 = 100,000 / 8 = 12,500 rupees. Both methods agree, confirming the answer.

Why Other Options Are Wrong:
Rs. 7,812.50 corresponds to applying a much larger effective discount and does not match a 37.5% discount on Rs. 20,000.
Rs. 8,593.75 and Rs. 15,468.75 are arbitrary looking values that do not correspond to simple fractions of the marked price.
Rs. 18,000 is the selling price under the 10% discount scenario and not under the 37.5% discount scenario.

Common Pitfalls:
Candidates sometimes mistakenly apply the second discount directly on Rs. 18,000, which is wrong because both discounts must be compared with respect to the same marked price. Another frequent mistake is mixing up the percentages for what is paid and what is discounted. Always remember that if discount is d%, then the amount paid is (100 - d)%. Using this idea systematically ensures the correct calculation of both the marked price and the new selling price.

Final Answer:
The selling price of the toaster with a 37.5% discount on the same marked price is Rs. 12,500.