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If a man was to sell an article for ₹840, he would lose 20%. To gain 25% he should sell it for __________.
Question

If a man was to sell an article for ₹840, he would lose 20%. To gain 25% he should sell it for __________.

A.

₹1,312.50

B.

₹1,300.50

C.

₹1,200.50

D.

₹1,212.50

Correct option is A

Given:

Selling Price for 20% loss = ₹840

Solution:

CP = SP1Loss %100\frac{\text{SP}}{1 - \frac{\text{Loss \%}}{100}}

= 840120100\frac{840}{1 - \frac{20}{100}}

= 8400.8SP (for 25% gain)\frac{840}{0.8} \text{SP (for 25\% gain)}

= CP×(1+25100)\text{CP} \times \left(1 + \frac{25}{100}\right)

Find CP:

CP = 8400.8\frac{840}{0.8}​ = 1050

SP for 25% gain

SP = 1050 ×\times​ 1.25 = 1312.5 

Alternate Method:  

After 20% loss = 100 - 20 = 80% = 840 

1% = 10.5 

CP = 100 = 1050 

SP on CP  = 125% 

125% = 125 ×\times​ 10.5 = 1312.5

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