Question

A man sale an item for Rs. 1850 and make a 22% profit on the discounted price he purchased, what is the initial price of the item. If the discount was 16%.?

1. Rs. 1876.45
2. Rs. 1805.230
3. Rs. 1427.625
4. Rs. 1675.65

Answer 1

Correct Answer - Option 2 : Rs. 1805.230

Given:

Selling price = Rs 1850

Discounted % = 16%

Formula used:

C.P = 100/(100 + Profit %) × S.P

Calculation:

Let initial price of an item be 100 

Discounted price of an item

⇒ 100 - 16

⇒ 84

Now according to question

⇒ 84 = 100/(100 + 22) × 1850

⇒ 1 = (100 × 1850)/(122 × 84)

⇒ 1 = 18.0230

⇒ 100 = Rs. 1805.230

∴ The initial price of item is Rs. 1805.230.

1. M.P > S.P when discount is offered

2. M.P < S.P when discount is not offered

3. S.P = M.P (100 - discount%)/100.