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The marked price of a television set is Rs. 18000. A shopkeeper allows a discount of 40% and gets a profit of 10%. What is the cost price of the telev
Question

The marked price of a television set is Rs. 18000. A shopkeeper allows a discount of 40% and gets a profit of 10%. What is the cost price of the television set?

A.

Rs. 9531511 \frac5{11} ​​

B.

Rs. 8181311\frac3{11}​​

C.

Rs. 7821311\frac3{11}​​

D.

Rs. 9818211\frac2{11}

Correct option is D

Given:
Marked price = Rs. 18000
Discount = 40%
Profit = 10%
Formula Used:

CP/MP = (100 - Discount%) / (100 + Profit%)

Solution:

CP/MP = (100 - 40) / (100 + 10)

=> CP/MP = 60/110 = 6/11

=> CP/MP = 6/11

=> CP = (18000 × 6)/11 = Rs. 9818211\frac2{11}

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