Question

2. Sanjay sold a bicycle to Salman at 46% profit.
Salman spent Rs 40 on repairs and sold it to Sunil
for Rs 1500. In this deal, Salman made neither
profit nor loss. What is the cost price for Sanjay?​

Answer 1

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Basic concepts

=>The cost at which an articles is purchased is called its cost price (CP)

=>The cost at which an articles sold is called its selling price (SP).

⋆If SP is greater than CP then it is profit or gain.

⋆If CP is greater than SP then it is loss.

IMPORTANT FORMULAE

Gain = (S.P.) - (C.P.)

Loss = (C.P.) - (S.P.)

___________________________________________

Let the CP for Sanjay be x

S.P for Sanjay =x+46% of x

=x+46/100x=146x/100+40

∴CP of Salman =146x/100+40

∵Salman made neither Profit nor loss

=>146x/100+40=1500

=>146x/100=1460

=>x=1460×100/146

=>10×100=1000

∴The Cost Price for Sanjay is ₹1000.