Question

A man sells a tv at a profit of 25% of the cost. had he sold it at a profit of 25% of the selling price, his profit would have increased by 5% of the cost price plus rs 100. find the cost of tv.

Answer 1

51.25 answer
let cp equal to 100
25 percent profit=100+25=125
25 percent of 125=31.25+125=156.25
subtract rupees 100 remain 56.25
subtract 5 percent of 100 i.e 5
remain 56.25-5=51.25 as your answer

Answer 2

Answer:

The cost price of the TV is Rs.8000.

Step-by-step explanation:

Given : A man sells a tv at a profit of 25% of the cost. He sold it at a profit of 25% of the selling price, his profit would have increased by 5% of the cost price plus rs 100.

To find : The cost of tv?

Solution :

Let the cost price of the TV is x.

A man sells at profit of 25%.

So, The selling price of the TV is

$SP=\frac{25\%+100}{100}\times x$

$SP=\frac{125}{100}\times x$

$SP=1.25x$

When he sold he get the profit of 25%.

New profit he gets is

P=25% of SP

$P=\frac{25}{100}\times 1.25x$

$P=0.3125x$

According to question,

New profit - Earlier Profit = 5% CP + 100

$0.3125x-0.25x=0.05x+100$

$0.3125x-0.25x-0.05x=100$

$0.0125x=100$

$x=\frac{100}{0.0125}$

$x=8000$

Therefore, The cost price of the TV is Rs.8000.