A person offers a 15% discount on his garments, and he offers a further discount of 10% on the reduced price to those customers who pay cash. What will a customer have to pay in cash for a jacket of Rs. 3,600?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. Rs. 2,754.
A total discount is given to someone who pays cash,
Successive discount = (x + y) - (xy/100)
⇒ D = (15 + 10) - (15 × 10)/100
⇒ D = 25 - 15/10
⇒ D = 25 - 1.5 = 23.5%
Now the Selling Price of the jacket,
SP = MP(1 - D%)
here, x,y = discount%, SP = Selling price, MP = Marked price, and D = Discount
⇒ SP = 3600(1 - 23.5%)
⇒ SP = 3600(1 - 0.235)
⇒ SP = 3600 × 0.765 = Rs. 2754
Hence,
The customer has to pay Rs. 2754