Question

Visakha offers a discount of 20% on all items at her shop and still makes a profit of 12% what is the cost price of an article marked at Rs 280

Answer 1

Solutions :-

Given :

Marked price = Rs 280
Discount = 20%
Profit = 12%

Find the Selling price :-

S.P = M.P - discount% of M.P
= 280 - 20% of 280
= 280 - 56
= 224

Find the cost price :-

C.P = (S.P × 100)/(100 + Profit)
= (224 × 100)/(100 + 12)
= 22400/112
= 200

Hence,
Cost Price = Rs 200

Answer 2

Information provided to us:

Marked price of the article ( MP ) = ₹ 280
Discount percentage ( d % ) = 20 %
Profit percentage ( p % ) = 12 %

Now, first of all let the cost price of the article ( CP ) be ₹ ' x '.


Discount = 20 % of MP
Discount = 20 % of ₹ 280
Discount = 20/100 * 280
Discount = 0.2 * 280
Discount = 2 * 28
Discount = ₹ 56


Hence,

SP = MP - Discount
SP = ₹ 280 - ₹ 56
SP = ₹ 224
Selling price of the article = ₹ 224

We know that,
Profit = p % of CP
Profit = 12 % of x
Profit = 12x / 100
Profit = ₹ 0.12 x

Now,
SP = CP + Profit
₹ 224 = x + 0.12 x
₹ 224 = 1.12 x
224 = 112x / 100
22400 = 112 x
x = 22400 / 112
x = ₹ 200

Hence,

Cost price of the article = ₹ x = ₹ 200