Correct Answer - Option 3 : Rs. 1410
Given:
The cost price of 40 sanitisers = Rs.1200
Half at a profit of 60%
1/4th at a loss of 20%
Remaining at a loss of 30%
Formula Used:
If an object is sold at a profit%
Selling price = Cost price × [(100 + profit%)/100]
If an object is sold at a loss%
Selling price = Cost price × [(100 - loss%)/100]
Calculation:
The cost price of a hand sanitiser = 1200/40 = Rs. 30
The cost price of half of the total sanitisers = 20 × 30 = 600
The selling price of half of the total sanitisers = 600 × (160/100) = Rs. 960 ----(i)
The cost price of 1/4th of the total sanitisers = 10 × 30 = Rs. 300
The selling price of 1/4th of the total sanitisers = 300 × (80/100) = Rs. 240 ----(ii)
The remaining Hand sanitisers = 40 - (20 + 10) = 10
The cost price of remaining 10 sanitisers = 10 × 30 = Rs. 300
The selling price of the remaining 10 sanitisers = 300 × (70/100) = Rs. 210 ----(iii)
Adding (i) (ii) (iii)
Selling price of 40 hand sanitisers = 960 + 240 + 210 = Rs. 1410
∴ The selling price of the 40 hand sanitisers is Rs. 1410