Abhishek bought a typewriter and sold it at 15%gain .If he sold it for Rs. 4025,what did he pay for it?

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Solution

Dear Student,

$L e t C o s t P r i c e C P = x S e l l i n g P r i c e S P = 4025 P r o f i t % = \frac{p r o f i t}{C P} \times 100 n o w P r o f i t = S e l l i n g P r i c e - C o s t P r i c e \Rightarrow P r o f i t % = \frac{S P - C P}{C P} \times 100 P u t t i n g v a l u e s w e g e t 15 = \frac{4025 - x}{x} \times 100 \Rightarrow 15 x = 402500 - 100 x \Rightarrow 115 x = 402500 \Rightarrow x = \frac{402500}{115} x = 3500 H e n c e \cos t p r i c e i s 3500$

Regards,

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Abhishek bought a typewriter and sold it at 15%gain .If he sold it for Rs. 4025,what did he pay for it?

Dear Student, Let Cost Price CP=xSelling Price SP=4025Profit%=profitCP×100now Profit=Selling Price-Cost Price⇒Profit%=SP-CPCP×100Putting values we get15=4025-xx×100⇒15x=402500-100x⇒115x=402500⇒x=402500115x=3500Hence cost price is 3500 Regards,