Question

A shop keeper sells an article at a loss of 8%, but when he increases the selling price of the article by Rs. 164 he earns a profit of 2.25% on the cost price. If he sells the same article at Rs. 1760, what is his profit percentage?

Answer 1

According to the given data,

Let Cost price of the article be '$c_p$'

Then,$102.25c_p-92c_p=164\times 100$

$10.25c_p=16400$

$c_p=1600$

Now, if he sells at Rs.$1760$

Profit $=1760-1600=160$

Profit$\%=\frac{160}{1600}\times 100=10\%$.