Question

An article is sold for successive discounts of 5% and 10% and a profit of 14% is earned. What would be
the percent profit earned, if this article is sold for a discount of 15%

Answer 1

Answer:

The percentage profit when the discount of the item is 15% will be 15.60%.

Step-by-step explanation:

Step 1: Let the marked price of the item be x.

Step 2: Calculate the selling price after successive discounts.

At 5% we have : 95/100 × x = 0.95x

At 10% we have : 90/100 × 0.95x = 0.855x.

Step 3: from the profit now get the cost price.

The cost price must be 14% lower than the selling price.

The cost price is : 86/100 × 0.855x = 0.7353x

Step 4: Calculate the selling price when the discount is 15%.

85/100 × x = 0.85x

Step 5 : Calculate the profit and hence the percentage profit.

Cost price = 0.7353x

Selling price = 0.85x

Profit = 0.85x - 0.7353x = 0.1147x

Percentage profit.

0.1147x/0.7353x × 100% = 15.60%

Percentage profit is 15.60%.