A shopkeeper marks up the price of an article by 60%. He offers two successive discounts of 10% and 15% on it. He earns X% profit. What is the value of X?

Correct option is B

Given:

Marked price of article = 60 % above CP

Discount offered = 10% and 15%

Formula Used:

Successive Percentage formula: $$x + y + \frac{xy}{100}$$​​

Selling Price = Marked Price - Discount

Profit Percent =$$\frac{Profit}{Cost \ Price} \times 100$$​​

Solution:

Let the Cost Price of article be 100

If marked up price is 60% then marked price will be:

= 100 + 60% of 100 = 160

Successive discount = $$-10-15 + \frac{(-10)(-15)}{100}$$​​

= -25 + 1.5

= -23.5%

The SP = MP - Discount

= 160 - 23.5% of 160

= 160 - 37.60

= 122.4

Profit = 122.4 -100 = 22.4

Profit percent =$$\frac{22.4}{100} \times 100 = 22.4\%$$​​

The value of X = 22.4