Question

A shopkeeper marks the price of the article in such a way that after allowing 28% discount he wants a gain of 12% if the marked price is rs224 then the cost price of the article is??

Answer 1

Answer:

★ Cost price is Rs 207 ★

Step-by-step explanation:

Given:

• Discount is 28%
• Profit he wants is 12%
• Marked price of article is Rs 224

To Find:

• Cost Price of article

Solution: We know that

★ Discount= M.P x Discount%/100 ★

$\small\implies{\sf }$ Discount= 224 x 28/100

$\small\implies{\sf }$ Discount= 6272/100

$\small\implies{\sf }$ Discount= Rs 62.72

★ Selling Price= M.P – Discount ★

$\small\implies{\sf }$ S.P = Rs ( 224 – 62.72 )

$\small\implies{\sf }$ S.P = Rs 161.28

★ To find C.P when S.P and profit% is given we use formula:

• C.P = (100+Profit%/100) x S.P

$\small\implies{\sf }$ C.P = (100+25/100) x 161.28

$\small\implies{\sf }$ C.P = (125/100) x 161.28

$\small\implies{\sf }$ C.P = 1.25 x 161.28

$\small\implies{\sf }$ C.P = Rs 201.6 or Rs 207 ( approx)

Hence, Cost price of article is Rs 207