Question

A shopkeeper sells an article for Rs. 200 with a loss of Rs. 20 %. Find the cost price of the article

Answer 1

C.P =

$\frac{sp \times 100}{100 - loss \: percentage}$

$= \frac{200 \times 100}{100 - 20}$

$= \frac{20000}{80}$

= ₹250

Answer 2

Given:-

• Selling price (S.P) = Rs. 200
• Loss % = Rs 20

To find:-

• Find the cast price (C.P) of the article,

Solutions:-

Given that,

• S.P = Rs. 200
• Loss % = Rs 20

=> C.P = (100/100 - loss %) × S.P

=> C.P = (100/100 - 20) × 200

=> C.P = 100/80 × 200

=> C.P = 5/4 × 200

=> C.P = 5 × 50

=> C.P = 250

Hence, the cast price (C.P) of the article is 250.

Some Important:-

• Gain = S.P - C.P
• Loss = C.P - S.P
• Gain % = Gain × 100/C.P
• Loss % = Loss × 100/C.P