# A shopkeeper buys a 40 hand sanitiser at a rate of Rs.1200. He sells half of the sanitisers at 60% profit and 1/4 of sanitisers at 20% loss and remain

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A shopkeeper buys a 40 hand sanitiser at a rate of Rs.1200. He sells half of the sanitisers at 60% profit and 1/4 of sanitisers at 20% loss and remaining at 30% loss. Find the Total Selling price of the 40 sanitisers.
1. Rs. 1560
2. Rs. 1260
3. Rs. 1410
4. Rs. 1756

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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)

Selling price of 40 hand sanitisers = 960 + 240 + 210 = Rs. 1410

∴ The selling price of the 40 hand sanitisers is Rs. 1410