A shopkeeper gives two successive discounts of 20 % and 10 % on surplus stock.…

2025

A shopkeeper gives two successive discounts of 20 % and 10 % on surplus stock. Further, he also gives 5 % extra discount on cash payment. If a person buys a shirt from the surplus stock and pays in cash, what overall discount percent will he get on the shirt ?

  1. A.

    31.69 %

  2. B.

    31.60 %

  3. C.

    31.50 %

  4. D.

    31.30 %

Attempted by 38 students.

Show answer & explanation

Correct answer: B

Step-by-Step Solution

To find the overall discount percentage when multiple discounts are applied one after another, you cannot simply add the percentages. Instead, you apply each discount sequentially to the remaining balance.

  1. Assume a Base Value: Let the marked price of the shirt be Rs. 1000.

  2. Apply the First Discount (20%):

    • Discount 1 = 20% of 1000 = 200.

    • Price after first discount = 1000 - 200 = 800.

  3. Apply the Second Discount (10%):

    • Discount 2 = 10% of 800 = 80.

    • Price after second discount = 800 - 80 = 720.

  4. Apply the Third Discount (5% extra for cash):

    • Discount 3 = 5% of 720 = 36.

    • Final price = 720 - 36 = 684.

  5. Calculate Overall Discount:

    • Total discount amount = 1000 - 684 = 316.

    • Overall discount percent = (Total discount / Original price) * 100

    • Overall discount percent = (316 / 1000) * 100 = 31.60%.

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