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The price of a mobile decreased by 10% from 2012 to 2015. A bought the mobile in 2012 and sold it to B in 2015 at a loss of 20%. Find the profit/loss B incurred from buying from A instead of buying it from the market.


1. 12%
2. 13.5%
3. 12.5%
4. 10%

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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%

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