The cost price of a bag is 72% of its marked price. A discount of 46% is given on it. The loss percentage on a toy is equal to the profit percentage o

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The cost price of a bag is 72% of its marked price. A discount of 46% is given on it. The loss percentage on a toy is equal to the profit percentage of the bag. If the toy was given a discount of 11.11% and a loss of Rs. 20 was incurred, what is the marked price of the toy?

1. Rs. 60
2. Rs. 67.5
3. Rs. 50
4. Rs. 55

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Correct Answer - Option 2 : Rs. 67.5

Given:

The cost price of a bag is 72% of its marked price.

A discount of 46% is given on it.

The loss percentage on a toy is equal to the profit percentage of the bag.

The toy was given a discount of 11.11% and a loss of Rs. 20 was incurred.

Formula used:

Profit or Gain = Selling price – Cost Price

Loss = Cost Price – Selling Price

Profit percentage = (Profit/Cost Price) x 100

Loss percentage = (Loss/Cost price) x 100

Calculation:

Let the CP and MP of the bag be Rs. 72x and Rs. 100x respectively.

Then, SP = Rs. {(100 – 46)% of 100x} = Rs. 54x

Loss percentage = {(72-54)/72}100

⇒ (18/72)100

⇒ 25%

Loss percentage on the toy = 25% ≡ Rs. 20

Hence, the CP of the toy is Rs. 80

SP = Rs. (80 – 20) = Rs. 60

MP = Rs. {60(9/8)} = Rs. 67.5

∴ MP of the toy is Rs. 67.5