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

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Solution

Dear Student,

$L e t \cos t p r i c e o f c o m m o d i t y = x s e l l i n g p r i c e = 34.80 l o s s % = \frac{C P - S P}{C P} \times 100 25 = \frac{x - 34.80}{x} \times 100 \Rightarrow \frac{25}{100} = \frac{x - 34.80}{x} \Rightarrow \frac{1}{4} = \frac{x - 34.80}{x} c r o s s m u l t i p l y x = 4 (x - 34.80) x = 4 x - 4 \times 34.80 4 x - x = 4 \times 34.80 3 x = 139.2 x = \frac{139.2}{3} x = 46.4 H e n c e \cos t p r i c e = 46.4 r u p e e s$

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

Dear Student, Let cost price of commodity=xselling price =34.80loss%=CP-SPCP×10025=x-34.80x×100⇒25100=x-34.80x⇒14=x-34.80xcross multiplyx=4x-34.80x=4x-4×34.804x-x=4×34.803x=139.2x=139.23x=46.4Hence cost price =46.4 rupees Regards,