An item costs Rs 400. During a festival sale, a company offer a sale discount that offers x% off on its regular price along with a discount coupon of 10%. The priceof the item after using bot the sale discount and the discount coupon, is Rs 216. What is the value of x?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 40.
The cost of the item = Rs 400
The selling price of the item = Rs. 216
Sale discount = x%
Coupon discount = 10%
The discount = 400 - 216 = Rs 184
The total discount = (184/400) × 100 =46%
So, x +10 - (10x/100) = 46
⇒ x + 10 - x/10 = 46
⇒ 9x/10 + 10 = 46
⇒ 9x/10 = 46 - 10
⇒ 9x/10=36
⇒ x = 36 × (10/9) = 40
Therefore, The value of x is 40