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Question

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

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
₹10,100.00

Calculating Marked Price After Commission Deduction

Let the Marked Price (MP) of the T.V. set be MP.

A commission of 10% is deducted from the marked price. This means the selling price (SP) is 10% less than the marked price.

Commission Amount = $10\%$ of MP = $0.10 \times \text{MP}$

The cost after deducting the commission (Selling Price) is given as ₹9,090.

Selling Price = Marked Price - Commission Amount

₹9,090 = MP - $(0.10 \times \text{MP})$

₹9,090 = MP $(1 - 0.10)$

₹9,090 = $0.90 \times \text{MP}$

Finding the Marked Price

To find the marked price (MP), we rearrange the equation:

MP = $\frac{₹9,090}{0.90}$

MP = $₹\frac{90900}{90}$

MP = ₹10,100

Therefore, the marked price of the T.V. set is ₹10,100.00.

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Important Questions from Discount and MP

  1. If a trader marks the price of an article 50 percent more than the cost price and allows a discount of 30 percent, then what is his profit percentage?

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  3. A trader decided to mark his goods 15 percent above the cost price and then offered 40 percent discount. What will be the percentage of profit or loss?

  4. On the sale of 20 percent discount, the value of an item is Rs. 760. What was the real value of the item?

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