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​After deducting a commission of 10% on the marked price, a T.V. set costs ₹9,090. What is its marked price?​
Question

After deducting a commission of 10% on the marked price, a T.V. set costs ₹9,090. What is its marked price?

A.

₹10,010.00

B.

₹10,000.00

C.

₹10,074.75

D.

₹10,100.00

Correct option is D

Given:

Commission = 10% of the marked price.

Cost of the T.V. set after deducting commission = ₹9,090.

Formula Used:

Marked Price = Cost after deduction1Commission Rate\frac{\text{Cost after deduction}}{1 - \text{Commission Rate}}​​

Solution:

Substituting the values:

Marked Price = 9,09010.10 \frac{9,090}{1 - 0.10} ​​​

Marked Price = 9,0900.90=10,100 \frac{9,090}{0.90} = 10,100​​

Thus, The marked price of the T.V. set is ₹10,100.

Alternate Method:

marked price = 100%

After commission = 100%-10%= 90%

90%= 9,090

9%= 909

1%= 101

100%= 10100

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