The marked price of an A.C. is ₹48,000. The shopkeeper allows a discount of 12% and gains 10%. If no discount is allowed, find his gain percentage.
Show answer & explanation
Correct answer: D
Explanation
The Correct answer is Option 4 i.e. 25 Percent.
Discount% = (Marked price - Selling price)/Marked Price × 100
Profit% = (Selling price - cost price)/cost price × 100
⇒ 12 = (48000 - SP)/48000 × 100
⇒ 5760 = 48000 - SP
⇒ SP = Rs.42240
Now, profit = 10%
⇒ 10 = (42240 - CP)/CP × 100
⇒ 10CP = (42240 - CP) × 100
⇒ 10CP = 4224000 - 100CP
⇒ 110CP = 4224000
⇒ CP = 38400
If no Discount is allowed, then SP will be 48000.
profit = 48000 - 38400 = 9600
Profit% = 9600/38400 × 100 = 25%
If no discount is allowed, then his gain percentage is 25%