Question

A man sold a radio at 10% gain.if he had bought it at 20% less and sold it for rs.10 more he would have gained 40% find the cp of radio.

Answer 1

Let x be the CP and y be the SP f the horse.

From SP = (100+P100)CP

Y = 110100x ... (1)

And, y + 100 = 140100(80100x) .... (2)

From the equations (1) and (2) we get, x = Rs. 5000

Answer 2

Answer:

The cost price of radio is Rs.500.  

Step-by-step explanation:

Given : A man sold a radio at 10% gain. If he had bought it at 20% less and sold it for Rs.10 more he would have gained 40%.

To find : The cost price of radio ?

Solution :

Let x be the cost price of the goods.

A man sold a radio at 10% gain.

The selling price of goods is  

$SP=\frac{100+P\%}{100}\times CP$

$SP=\frac{100+10}{100}\times x$

$SP=\frac{110}{100}\times x$

$SP=1.1x$

He had bought it at 20% less.

$CP=x-20\%\times x$

$CP=x-0.2x$

$CP=0.8x$

Sold it for Rs.10 more.

SP=1.1x+10

The profit percentage formula is given by,

$P\%=\frac{SP-CP}{CP}\times 100$

$40=\frac{1.1x+10-0.8x}{0.8x}\times 100$

$0.4=\frac{0.3x+10}{0.8x}$

$0.4\times 0.8x=0.3x+10$

$0.32x=0.3x+10$

$0.32x-0.3x=10$

$0.02x=10$

$x=\frac{10}{0.02}$

$x=500$

Therefore, The cost price of radio is Rs.500.