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A shopkeeper marks his articles at such a price that after allowing a discount of 25% on the marked price, he stillearns a profit of 10%. The marked p
Question

A shopkeeper marks his articles at such a price that after allowing a discount of 25% on the marked price, he still
earns a profit of 10%. The marked price of an article which costs him Rs.8400 is :

A.

Rs.12320

B.

Rs.13230

C.

Rs.12230

D.

Rs.16800

Correct option is A

Given:

​Cost Price (CP) = Rs. 8400
Profit Percentage = 10%
Discount Percentage = 25%

Formula Used:
​Selling Price (SP) = CP×(1+Profit Percentage100)CP \times \left(1 + \frac{\text{Profit Percentage}}{100}\right)​​
Marked Price (MP) = SP1Discount Percentage100\frac{SP}{1 - \frac{\text{Discount Percentage}}{100}}​​

Solution:
SP=8400×(1+10100)SP = 8400 \times \left( 1 + \frac{10}{100} \right)​​
SP=8400×1.1=9240SP = 8400 \times 1.1 = 9240​​

MP=9240125100\text{MP} = \frac{9240}{1 - \frac{25}{100}}

MP=92400.75MP = \frac{9240}{0.75}​​

MP=Rs. 12,320MP = \text{Rs. } 12,320
Therefore, the marked price of the article is Rs. 12,320.

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