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A shopkeeper sells a pair of shoes at a discount of 34% and still makes a profit of 10% . If the cost price of the pair of shoes is ₹480, find its mar
Question

A shopkeeper sells a pair of shoes at a discount of 34% and still makes a profit of 10% . If the cost price of the pair of shoes is ₹480, find its marked price.

A.

₹ 850

B.

₹ 820

C.

₹ 800

D.

₹ 700

Correct option is C

Given:

Cost Price (CP) = ₹480

Profit = 10%

Discount = 34%

Formula Used:

Selling Price : SP = CP×(1+Profit %100)CP \times \left(1 + \frac{\text{Profit \%}}{100}\right)

Marked Price : MP = SP(1Discount%100)\frac{SP}{(1 - \frac{\text{Discount\%}}{100})}​​

Solution:

Selling Price (SP):

SP = 480×(1+10100)480 \times \left(1 + \frac{10}{100}\right)​​

= 480 × 1.1 = 528

Marked Price (MP):

MP = 528134100=5280.66\frac{528}{1 - \frac{34}{100}} = \frac{528}{0.66} = 800

Thus, The marked price is ₹800.

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