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An article was sold at ₹600, making a profit of 20%. The cost price of the article was
Question

An article was sold at ₹600, making a profit of 20%. The cost price of the article was

A.

₹720

B.

₹640

C.

₹500

D.

₹480

Correct option is C

Given:

Selling Price (SP) = ₹600

Profit = 20%

Find the Cost Price (CP).

Formula Used:

SP = CP(1+Profit%100)\left(1+\frac{\text{Profit\%}}{100}\right)​​

Solution:

600=CP(1+20100) 600=1.2×CP CP=6001.2=500600 = \text{CP}\left(1+\frac{20}{100}\right) \\ \ \\600 = 1.2 \times \text{CP}\\ \ \\CP = \frac{600}{1.2} = ₹500​​

Alternate Solution (Exam Trick):

If 20% profit, then

CP : SP = 100 : 120

CP = 600×100120600 \times \frac{100}{120}​ = ₹500

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