Question

if the sp of 10 pens is equal to the cp of 14 pens find the gain %

Answer 1

Answer:Profit = 40%

Step-by-step explanation:

Let C.P. of 1 pen =₹10

Than c.p. of 10 pen = ₹10*10=100

C.P of 14 pen = ₹ 10*14 =₹140

S.P of 10 pen = ₹140

Profit = 140 - 100 =₹40

P%= profit *100/C.P.

= 40*100/100 = 40%

Gain %= 40%

Answer 2

Given:

Selling Price of 10 Pens = Cost Price of 14 Pens

To Find:

Profit = ?

Solution:

Let the Cost price (CP) 1 pen = ₹ 10

Then,

Cost Price of 10 Pens = $10\times 10$

                                    = ₹ 100

Cost price of 14 Pens = $14\times 10$

                                   = ₹$140$

Now, According to the question

Selling price (SP) of 10 Pens will be = ₹ 140

As we know,

⇒  $Profit = Selling \ Price-Cost \ Price$

On putting the estimated values, we get

⇒              $=140-100$

⇒              $=40$

So,

Profit % = $Profit\times \frac{100}{CP}$

⇒           = $40\times \frac{100}{100}$

⇒           = $40$%

So that the gain% will be "40%".