Kashi purchased 2 cell phones and sold them after few months. He purchased one of them for Rs. 6000 but sold another one for Rs. 6000. In this deal he gain 12% on first cell phone and losing 4% on other. The gain or loss in whole deal is:
Kashi purchased 2 cell phones and sold them after few months. He purchased one of them for Rs. 6000 but sold another one for Rs. 6000. In this deal he gain 12% on first cell phone and losing 4% on other. The gain or loss in whole deal is: Correct Answer Profit, Rs. 470.
Given:
The cost price of 1st cell phone = Rs. 6,000
The selling price of 2nd cell phone = Rs. 6,000
Gain% on selling 1st cell phone = 12%
Loss% on selling 2nd cell phone = 4%
Formula Used:
Profit = Selling Price - Cost Price
Cost price = (Selling price × 100)/(100 - Loss%)
Selling Price = Cost price × (100 + Profit%)/100
Calculation:
⇒ The cost price of 1st cell phone = Rs. 6,000
Selling Price = Cost price × (100 + Profit%)/100
⇒ Selling price of 1st cell phone = 6,000 × 112/100 = Rs. 6,720
⇒ The selling price of 2nd cell phone = Rs. 6,000
Cost price = (Selling price × 100)/(100 - Loss%)
⇒ Cost price of 2nd cell phone = 6,000 × 100/96 = Rs. 6,250
⇒ Total cost price of both the cell phone = Rs. 6,000 + Rs. 6,250 = Rs. 12,250
⇒ Total selling price of both the cell phone = Rs. 6720 + Rs. 6000 = Rs. 12,720
Selling Price > Cost Price
Profit = Selling Price - Cost Price
⇒ Profit = Rs. 12,720 – Rs. 12,250 = Rs. 470.
∴ Total profit in both the deals Rs. 470
The correct option is 3 i.e. Profit, Rs. 470.