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By selling a vehicle for Rs.52,500, Ram suffers a 25% loss. What was his loss?
Question

By selling a vehicle for Rs.52,500, Ram suffers a 25% loss. What was his loss?

A.

Rs.16,500

B.

Rs.17,000

C.

Rs.17,500

D.

Rs.18,000

Correct option is C

Given:

Selling Price (SP) = Rs. 52,500

Loss Percentage = 25%

Formula Used: 

Loss Percentage=LossCost Price×100\text{Loss Percentage} = \frac{\text{Loss}}{\text{Cost Price}} \times 100  

SP = CP − Loss

Solution: 

The loss is 25% of the cost price. Therefore: 

Loss = 25% of CP = 0.25 × CP 

Substitute the value of loss (0.25 × CP) into the equation:

SP = CP − 0.25 × CP

SP = 0.75 × CP

We know the selling price (SP) is Rs. 52,500, so we can set up the equation:

52,500 = 0.75 × CP 

​ CP=52,5000.75\text{CP} = \frac{52,500}{0.75}​​

CP = 70,000 

Now 

Loss = CP − SP 

Loss = 70,000 − 52,500 

Loss = 17,500 

Thus Ram’s loss is Rs. 17,500.

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