When A commodity is sold for Rs. 34.80, there is a loss of 25%. What is the cost price of the commodity?

A Rs. 46.40

B Rs. 26.10

C Rs. 43.00

D Rs. 43.20

E Rs. 46.00

Solution

Correct Answer: Option A

\(Loss\;\% \; = \;\frac{{loss}}{{cost\;price}}\; \times \;100\%\)

Given, loss % = 25 %

\(\Rightarrow 25\% = \frac{{loss}}{{cost\;price}}\; \times \;100\%\)

⇒ 0.25 × cost price = loss

Selling price = cost price – loss

Given, selling price = 34.80

⇒ 34.80 = cost price – 0.25 × cost price

⇒ 34.80 = 0.75 × cost price

⇒ Cost price = 34.80/0.75

⇒ Cost price = 46.40

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