Question

A shopkeeper gives two successive discounts of 10% and 20% to the customer and the selling price of article is Rs. 7200. Find the marked price of the article.
1. Rs. 6000
2. Rs. 12000
3. Rs. 8000
4. Rs. 10000

Answer 1

Correct Answer - Option 4 : Rs. 10000

Given:

Two successive discounts are 10% and 20%

Selling Price = Rs. 7200

Formula Used:

 % = X% + Y% - (X% × Y%)/(100)

Where, X%, Y% are discount %

S.P = M.P × (100 - D%)/100

Where, S.P = Selling Price, M.P = Marked Price, and D = Discount

Calculation:

Net discount % = 10 + 20 - {(10 × 20)/100}

⇒ 30 - 2

⇒ 28%

According to the formula used,

7200  = M.P × (100 - 28)/100

⇒ 7200 = M.P × (72/100)

⇒ M.P = 10,000

∴ The marked price is Rs. 10,000.