Question

If the cost price of 6 pens is equal to the selling price of 4 pens,then find the gain percent??​

Answer 1

Answer:

2 is the answer

I hope you like it

Answer 2

Answer:

Profit% = 50%

Step-by-step explanation:

We can solve this in many ways, including algebra, linear pair of equation, etc.... I will show you 2 of the easiest methods of them all.

Method 1

We are given,

CP of 6 pens = SP of 4 pens.

Let the CP & SP of one pen be Rs.x and Rs.y

Now, According to the Question,

6x = 4y

y = 6x/4

y = 3x/2

Now,

Profit = SP - CP

Profit = (y - x) [In terms one 1 pen]

Profit% = (P/CP) × 100

P% = ((y - x)/x) × 100

We know that, y = (3x/2), Putting it in we get,

P% = ((3x/2) - x)/x) × 100

P% = (((3x - 2x)/2)/x) × 100

P% = ((x/2)/x) × 100

P% = (1/2) × 100

P% = 50%

Method 2

Let the CP of a pen be Rs.x

Then, for the whole packet,

CP of 6 pens = 6x

But,

SP of 4 pens = CP of 6 pens

SP of 4 pens = 6x

Now,

CP of 4 pens = 4x

Then its,

Profit = SP - CP

Profit = 6x - 4x = 2x

Profit% = (P/CP) × 100

P% = (2x/4x) × 100

P% = (1/2) × 100

P% = 50%

Hope it helped and you understood it........All the best