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
