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A shopkeeper offers a discount of 25% on the marked price of a mobile phone. If the shopkeeper still makes a profit of 10% after offering the discount
Question

A shopkeeper offers a discount of 25% on the marked price of a mobile phone. If the shopkeeper still makes a profit of 10% after offering the discount, and the cost price of the phone is Rs. 12,000, What is the marked price of the phone?

A.

Rs. 20,000

B.

Rs. 17,600

C.

Rs. 18,000

D.

Rs. 18,600

Correct option is B

Given:

Cost price (CP) of the mobile phone = Rs. 12,000
Discount offered = 25%
Profit made = 10%

Formula Used:

Profit = SP - CP
SP = CP + Profit
MP = SP(1(Discount100))\frac{SP }{ (1 - (\frac{Discount }{ 100}))}​​

Solution:

Find the selling price (SP):

Profit = 10% of CP = 10% × 12000 = 1200
Selling Price (SP) = Cost Price (CP) + Profit
SP = 12000 + 1200 = 13200
Find the marked price (MP):
The shopkeeper offers a 25% discount on the marked price.
SP=MP×(125100)=MP×0.75 MP=SP0.75=132000.75=17600SP = MP × (1 - \frac{25}{100}) = MP × 0.75 \\\ \\MP = \frac{SP }{0.75} = \frac{13200 }{ 0.75 }= 17600​​

Thus, the marked price of the mobile phone is Rs. 17,600.

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