Question

By selling a stool for Rs. 67.50,a carpenter loses 10%. How much per cent would he gain or lose by selling it for Rs. 82.50?

Answer 1

Answer:

The gain percent is 10%.

Step-by-step explanation:

Given : By selling a stool for Rs. 67.50,a carpenter loses 10%.

To find : How much per cent would he gain or lose by selling it for Rs. 82.50?

Solution :

SP=Rs.67.50

Loss=10%

$L\%=\frac{CP-SP}{CP}\times 100$

$10=\frac{CP-67.50}{CP}\times 100$

$10CP=100(CP-67.50)$

$10CP=100CP-6750$

$90CP=6750$

$CP=\frac{6750}{90}$

$CP=75$

So, The cost price is RS.75

Selling Price = Rs.67.50 and cost price = Rs.75.

CP>SP

Gain = CP-SP

Gain = 75-67.50

Gain = 7.5

Gain %  is

$G\%=\frac{G}{CP}\times 100$

$G\%=\frac{7.5}{75}\times 100$

$G\%=10\%$

Therefore, The gain percent is 10%.