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A man purchases a machine for ₹2,450 and sells it at a gain of 10%. What is the selling price of the machine?
Question

A man purchases a machine for ₹2,450 and sells it at a gain of 10%. What is the selling price of the machine?

A.

₹2,569

B.

₹2,596

C.

₹2,965

D.

₹2,695

Correct option is D

Given:

Cost price of the machine = ₹2,450
Gain percentage = 10%

Formula Used:
Selling Price = Cost Price×(1+Gain Percentage100) \times \left( 1 + \frac{\text{Gain Percentage}}{100} \right)​​

Solution:
Selling Price =2450×(1+10100)0 \times \left( 1 + \frac{10}{100} \right)​​
Selling Price = 2450×1.10 \times 1.10​​
Selling Price = ₹2,695

The selling price of the machine is ₹2,695.

Alternate Method:

10% 110\frac {1}{10} 

CP          :          SP

10          :           11

Selling Price = 245010×11=\frac{2450}{10}\times 11= 2695​

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