An item costs ₹400. During a festival sale, a company offers a sale discount that offers x% off on its regular price along with a discount coupon of 10%. The price of the item after using both the sale discount and the discount coupon, is ₹216. What is the value of x?
The cost price of an 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 ∴ The value of x is 40
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