A luxury smartphone is initially marked up by 70% above its cost price. During a clearance sale, it is offered at a discount of 30% on its marked price. However, a corporate buyer receives an additional discount of w% on the discounted price, bringing the final selling price to ₹56,700. If

Question

A luxury smartphone is initially marked up by 70% above its cost price. During a clearance sale, it is offered at a discount of 30% on its marked price. However, a corporate buyer receives an additional discount of w% on the discounted price, bringing the final selling price to ₹56,700. If the shopkeeper still makes a profit of 15.5% on the cost price after all discounts, what was the original cost price of the smartphone and the value of w?

Accepted Answer

CP = ₹49,000, w = 3%. Since the final selling price gives a 15.5% profit, the cost price can be found directly from the selling price. Then use the marked price and the first discount to get the intermediate price, and compare it with the final price to find w.

Solution

Related SSC CGL (Prelims) General questions