Question

The single discount on some amount which is equivalent to successive discounts of 10%, 20% and 28% on the same amount is equal to:

• A. 50%
• B. 48.32%
• C. 48.16%
• D. 38.16%

Answer 1

Answer:

C. 48.16%

To find the single discount equivalent to successive discounts, we can use the following method:

1. Assume an original price of ₹100 for simplicity.

2. Apply the first discount of 10%:
   Price after first discount = ₹100 - (10% of ₹100) = ₹100 - ₹10 = ₹90.

3. Apply the second discount of 20% on the reduced price (₹90):
   Price after second discount = ₹90 - (20% of ₹90) = ₹90 - ₹18 = ₹72.

4. Apply the third discount of 28% on the latest reduced price (₹72):
   Price after third discount = ₹72 - (28% of ₹72).

5. Calculate 28% of ₹72:
   28% of ₹72 = (28/100) × 72 = 0.28 × 72 = ₹20.16.

6. Final Selling Price = ₹72 - ₹20.16 = ₹51.84.

7. The total discount amount = Original Price - Final Selling Price = ₹100 - ₹51.84 = ₹48.16.

8. The equivalent single discount percentage = (Total Discount / Original Price) × 100 = (₹48.16 / ₹100) × 100 = 48.16%.