Question

Vikas purchased 10 pen. He sold 5 pens at 25% profit and the remaining 5 pen at 16.7%loss .If he received rs 625 in totla.find the cost price of each pen.​

Answer 1

• He sold 5pens(half) at 25% gain
• He sold 5pens(half) at 16.7%loss

Total gain percentage=25-16.7=8.3%

• SP=625

Let CP be x

$\\ \sf\longmapsto 0.083x+x=625$

$\\ \sf\longmapsto x(0.083+1)=625$

$\\ \sf\longmapsto x(1.083)=625$

$\\ \sf\longmapsto x=\dfrac{625}{1.083}$

$\\ \sf\longmapsto CP=577.1$

• CP of 10pens=577.1

CP of 1pen

$\\ \sf\longmapsto \dfrac{577.1}{10}=57.71$

Answer 2

Answer:

₹55.71

Step-by-step explanation:

Vikas purchased 10 pens

he sold first 5 pens at 25% profit and second 5 pens at 16.7% loss

So as,

Profit is greater than the loss so it is a profit.

Now,

Amount of profit in which he sold the pens

$= 25\% - 16.7\%$

$= 8.3\%$

And we know that 8.3 % is 0.083 in decimal.

So,

As SP = ₹625

Let the C.P be x

According to the question

$0.083 x + x = 625$

$= > x(0.083 + 1) = 625$

$= > x = \frac{625}{1.083}$

$= > x = 577.1$

As we know CP = x

So CP is ₹577.1

Now,

We know that he bought 10 pens

So the cost of each pen would be

$577.1 \div 10$

$= 57.71$

So the cost of each pen will be ₹57.71