Question

There is a profit when an article is sold for rs.720 . However when the same article is sold for rs.420, , there is some loss. If the quantum of loss is two times the quantum of profit, find the cost price.

Answer 1

Assume the profit will be Rs. X when the article is sold at Rs. 720

2(720-x)= (x-420)

1440-2x= x-420

3x= 1860

X= 620Rs

Answer 2

The cost price would be Rs. 620.

Step-by-step explanation:

Since we have given that

If Selling price = Rs. 720

Let the Cost price be 'x'.

Then, there is a profit say 'P'.

So, it becomes,

$P=720-x$

If the selling price = Rs. 420

Then there is loss say 'L'.

So, it becomes,

$L=x-420$

Since the quantum of loss is two times the quantum of profit.

So, L = 2P

So, it becomes,

$2P=x-420$

Now, put the value of P in the above equation:

$2(720-x)=x-420\\\\1440-2x=x-420\\\\1440+420=x+2x\\\\1860=3x\\\\\dfrac{1860}{3}=x\\\\620=x$

Hence, the cost price would be Rs. 620.

# learn more:

The profit earned by selling an article for rupees 680 is equal to the loss incurred when the same article is sold for rupees 420 what should be the same price of the article for making 60% profit

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