The marked price of a mobile phone was ₹10,000. The shop owner offered a 10% discount, but on further request by the customer, he sold it at ₹8500 after giving a cash discount. How much is this cash discount in percentage (up to 2 decimal places)?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 5.56%.
The marked price of a mobile phone = ₹10,000.
The shop owner offered a 10% discount, but on further request by the customer, he sold it at ₹8500.
Let's assume the other discount is x%
Selling price = Marked price × (100 - Discount %)/100
So,
⇒ 10,000 × (100 - 10)/100 × (100 - x)/100 = 8500
⇒ 10,000 × 90/100 × (100 - x)/100 = 8500
⇒ 9000 × (100 - x)/100 = 8500
⇒ (100 - x) = 850/9
⇒ 900 - 9x = 850
x = 50/9 = 5.56%