A shopkeeper offers a 38% discount on a certain item. He announces an additional 15% discount to a customer for paying cash. A customer paid a cash amount of ₹2,108 for that item. What is the marked price (in ₹) of the item?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3, i.e., 4,000.
Let the marked price be M ₹
First discount = 38% → Price after first discount = M × (100 − 38) ÷ 100 = M × 62 ÷ 100
Second discount = 15% → Price after second discount = (M × 62 ÷ 100) × (100 − 15) ÷ 100 = (M × 62 ÷ 100) × 85 ÷ 100 = M × 5270 ÷ 10000
Given cash paid = 2108
M × 5270 ÷ 10000 = 2108
M = 2108 × 10000 ÷ 5270
M = 21080000 ÷ 5270 = 4000 ₹
Marked price = 4000 ₹