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A mobile phone retailer sells a phone for EP and earns a profit of 20%. For a special festive offer, he marks the same phone at ₹1.5P. At the offer, he provides a discount of 10%. What will be the percentage profit that he will make during the festive offer?

A26%

B56%

C62%

D60%

Answer:

C. 62%

Read Explanation:

Let the cost price = C.

The retailer sells it for ₹(P) at a 20% profit:

P=1.2C

Therefore,

C=P1.2=5P6C=\frac{P}{1.2}=\frac{5P}{6}

For the festive offer:

Marked price:

1.5P

After a 10% discount:

Offer SP=1.5P×90%=1.35P\text{Offer SP}=1.5P\times90\%=1.35P
Profit:

1.35P5P61.35P-\frac{5P}{6}
=81P50P60=\frac{81P-50P}{60}
=31P60=\frac{31P}{60}

Profit percentage:

31P605P6×100\frac{\frac{31P}{60}}{\frac{5P}{6}}\times100
=62%=62\%


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