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A shopkeeper incurred a loss of 10% by selling an item for ₹1,980. At what price (in ₹) should he sell that item to gain 15%?
Question

A shopkeeper incurred a loss of 10% by selling an item for ₹1,980. At what price (in ₹) should he sell that item to gain 15%?

A.

2,475

B.

2,193

C.

2,530

D.

2,005

Correct option is C

Given:

Loss % = 10%
Selling Price at 10% loss = ₹1980
Required Gain % = 15%

Formula Used:
Use the relationship between Selling Price (SP), Cost Price (CP), and Profit/Loss %:

If there is a loss,

SP=(1Loss %100)×CP\text{SP} = (1 - \frac{\text{Loss \%}}{100}) \times \text{CP}​​

If there is a gain,

SP=(1+Gain %100)×CPSP = (1 + \frac{\text{Gain \%}}{100}) \times \text{CP}​​

Solution:

CP =1980110100=19800.9=2200= \frac{1980}{1 - \frac{10}{100}} = \frac{1980}{0.9} = ₹2200

New SP=2200×(1+15100)=2200×1.15=2530\text{New SP} = 2200 \times \left(1 + \frac{15}{100}\right) = 2200 \times 1.15 = ₹2530

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