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The marked price of the cupboard is Rs. 15,750, which is 50% above its cost price. It is sold at a discount of 40%. What is the profit/loss percentage
Question

The marked price of the cupboard is Rs. 15,750, which is 50% above its cost price. It is sold at a discount of 40%. What is the profit/loss percentage?

A.

Profit, 10%

B.

Loss, 10%

C.

Loss, 20%

D.

Profit, 20%

Correct option is B

Given:

Marked Price (MP) = Rs. 15,750

Markup Percentage = 50% (MP is 50% above Cost Price)

Discount Percentage = 40%

Formula Used:

MP = CP×(1+Markup %100) CP \times (1 + \frac{\text{Markup \%}}{100})​​

SP = MP×(1Discount %100)MP \times (1 - \frac{\text{Discount \%}}{100})​​

Loss % = LossCP×100\frac{\text{Loss}}{CP}\times 100​​

Solution:

Since the Marked Price is 50% above the Cost Price:

15,750 = CP×(1+50100)CP \times (1 + \frac{50}{100})​​

15,750 = CP × 1.5

CP = 15,7501.5\frac{15,750}{1.5}​ = 10,500

Cost Price = Rs. 10,500

The item is sold at a 40% discount on the Marked Price:

SP = 15,750×(140100) 15,750 \times (1 - \frac{40}{100})​​

SP = 15,750 × 0.60

Selling Price = Rs. 9,450

Loss = 10,500 - 9,450 = 1,050

Loss % = (1,05010,500)×100(\frac{1,050}{10,500}) \times 100 = 10%

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