Question

article
Da shopkeeper sold a dressing table for 87512.75 at a profit of 191 % What was the
cost price?​

Answer 1

Question:

A shopkeeper sold a dressing table for 87512.75 at a profit of 191 %. What was the cost price?

Answer:

CP is ₹30,073.11

Solution:

Profit%(P%) = 191

Selling Price(SP) = ₹87512.75

Cost Price(CP) = ??

We know that,

$\tt\underline{\underline{SP = \bigg \{1 + \frac{P\%}{100}\bigg \}CP}}$

$\tt{₹87512.75 = \bigg\{1 + \frac{191}{100} \bigg \}CP}$

$\tt{₹87512.75 = \bigg \{ \frac{291}{100} \bigg \}CP}$

$\tt{CP = \frac{100}{291} \times87512.75}$

$\tt{CP = \frac{100}{291} \times \frac{8751275}{100}}$

$\tt{CP = \frac{8751275}{291}}$

${\tt{CP}} =\bf{₹30,073.11}$

Hence, cost price is ₹ 30,073.11

Additional Information:

Profit = SP - CP

Profit% = Profit/CP × 100

Loss = CP - SP

Loss% = Loss/CP × 100