Question

By selling an almirah for Rs 3920, a shopkeeper would gain 12%. If it is sold for Rs 4375, find his gain or loss percentage?

Answer 1

SP=Rs.3920
Gain%=12%
CP=100SP/100+G%
=100×3920/112
=3500
CP=Rs.3500
If SP=Rs.4735
GAIN =4735-3500
=Rs 875
GAIN PERCENT=(GAIN /CP ) 100
=(875/3500)×100
=25%

Answer 2

Given: Selling price of almirah = Rs. 3,920

           Gain = 12%

To find: Gain/ Loss % if the almirah is sold for Rs. 4,375

Solution: Given that,

If Selling Price (SP) = Rs. 3,920

Profit (P) = 12%

Cost Price = ?

∵ $Selling \ Price = (1 + \frac{P}{100} ) \ of \ CP$

⇒ $3,920 = (1 + \frac{12}{100} ) \ of \ CP$

⇒ $3,920 = \frac{112}{100} \ of\ CP$

⇒ CP = $\frac{3920 * 100}{112} = 3500$

Thus, Cost price of almirah = Rs. 3,500

Now, if the almirah is sold at Rs. 4,375

i.e., Selling Price = 4,375

Profit = 4,375 - 3,500 = Rs. 875

∵ $Profit$ % = $\frac{Profit}{CP} * 100$

⇒ $\frac{875}{3500} * 100 = 25%$ %

Hence, if the almirah is sold at Rs. 4,375, the shopkeeper will gain 25%.