Correct Answer - Option 3 : 12.5%
Given:
The price of a mobile decreased by 10% from 2012 to 2015.
A bought the mobile in 2012 and sold it to B at a loss of 20%.
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 price of mobile in 2012 and 2015 be x and 0.9x respectively.
SP for A = 0.8 × x = 0.8 x
B got it for 0.8x instead of 0.9x
Profit % = {(0.9x – 0.8x)/0.8x} × 100
⇒ Profit% = 12.5%
∴ required profit % is 12.5%