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A shopkeeper increases by 20% the actual cost of ₹ 975 of a shirt and then sells it by giving 12% rebate on it while sells a pant of actual cost ₹ 1,2
Question

A shopkeeper increases by 20% the actual cost of ₹ 975 of a shirt and then sells it by giving 12% rebate on it while sells a pant of actual cost ₹ 1,200 by taking 10% profit on it. What is the total profit to the shopkeeper on both the items?

A.

₹ 164.00

B.

₹ 174.60

C.

₹ 150.00

D.

₹ 180.60

Correct option is B

The correct answer is (b) ₹ 174.60

Shirt Calculation

  1. Actual Cost of Shirt: ₹975
  2. Marked Price (20% increase):Marked Price=975+(20%×975)=975+(0.20×975)=975+195=1170\text{Marked Price} = 975 + (20\% \times 975) = 975 + (0.20 \times 975) = 975 + 195 = 1170Marked Price=975+(20%×975)=975+(0.20×975)=975+195=1170
  3. Selling Price (12% rebate):Selling Price=1170−(12%×1170)=1170−(0.12×1170)=1170−140.4=1029.6\text{Selling Price} = 1170 - (12\% \times 1170) = 1170 - (0.12 \times 1170) = 1170 - 140.4 = 1029.6Selling Price=1170(12%×1170)=1170(0.12×1170)=1170140.4=1029.6
  4. Profit on Shirt:Profit=Selling Price−Cost Price=1029.6−975=54.6\text{Profit} = \text{Selling Price} - \text{Cost Price} = 1029.6 - 975 = 54.6Profit=Selling PriceCost Price=1029.6975=54.6

Pant Calculation

  1. Actual Cost of Pant: ₹1200
  2. Selling Price (10% profit):Selling Price=1200+(10%×1200)=1200+(0.10×1200)=1200+120=1320\text{Selling Price} = 1200 + (10\% \times 1200) = 1200 + (0.10 \times 1200) = 1200 + 120 = 1320Selling Price=1200+(10%×1200)=1200+(0.10×1200)=1200+120=1320
  3. Profit on Pant:Profit=Selling Price−Cost Price=1320−1200=120\text{Profit} = \text{Selling Price} - \text{Cost Price} = 1320 - 1200 = 120Profit=Selling PriceCost Price=13201200=120

Total Profit

  1. Adding both profits:Total Profit=Profit on Shirt+Profit on Pant=54.6+120=174.6\text{Total Profit} = \text{Profit on Shirt} + \text{Profit on Pant} = 54.6 + 120 = 174.6Total Profit=Profit on Shirt+Profit on Pant=54.6+120=174.6

Final Answer

The total profit to the shopkeeper on both items is ₹174.60.\text{The total profit to the shopkeeper on both items is } \mathbf{₹174.60}.The total profit to the shopkeeper on both items is 174.60.

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