Question

A shopkeeper increased 50% price of its cost price and give 20% discount. After that he gain Rs. 660 then find the difference between profit and discount.

1. 220
2. 330
3. 440
4. 550
5. None of these

Answer 1

Correct Answer - Option 2 : 330

Given:

M.R.P = 50% Increase to C.P

Discount = 20%

Gain = Rs. 660

Formula Used:

Cost price × (100 + Profit %)/100 = Selling price

Also, Cost price × (100 - Loss %)/100 = Selling price

(M.R.P – S.P)/M.R.P × 100 = Discount %

Calculation:            

If C.P of a product = 100x

then, M.R.P = 100x(150/100)

⇒ 150x

Discount = 20%

⇒ 150x × 20/100 = 30x

S.P = 150x – 30x

⇒ 120x

Gain = S.P – C.P

⇒ 120x – 100x = 660

⇒ 20x = 660

⇒ x = 660/20

⇒ x = 33

Value of discount = 30x

⇒ 30 × 33

⇒ 990

Difference between discount and profit = 990 – 660

⇒ 330

∴ The difference between discount and profit is Rs. 330.