A shopkeeper offers a “4 items for ₹800” deal on an item marked at ₹800 per…
2026
A shopkeeper offers a “4 items for ₹800” deal on an item marked at ₹800 per unit. Additionally, after applying the scheme, a cash discount of 10% is given on the payable amount. If the shopkeeper still makes a profit of 10%, find the effective discount percentage on the marked price.
- A.
30%
- B.
29%
- C.
28%
- D.
27%
Attempted by 19 students.
Show answer & explanation
Correct answer: C
Step 1: Understand the primary promotional deal.
The Hindi text correctly identifies the deal as "Buy 4 Get 1 Free". This means the customer gets 5 items but only pays for 4.
Initial Discount % = (Free Items / Total Items) × 100
Initial Discount % = (1 / 5) × 100 = 20%.
Step 2: Apply the successive cash discount.
There is an additional cash discount of 10% on the payable amount.
Step 3: Calculate the effective overall discount.
Use the successive discount formula: a + b - (a × b) / 100
Effective Discount = 20 + 10 - (20 × 10) / 100
Effective Discount = 30 - 2 = 28%.
(Note: The 10% profit mentioned in the question is extra information and is not needed to find the discount percentage.)
Final Answer: Option 3