Question

If tge selling price of 10 pens is equal to the cost of 14 pens find gain percent

Answer 1

If the selling price of 10 pens is equal to the cost of 14 pens then gain percent is 40 %

Solution:

We have been given the selling price of 10 pens is equal to the cost of 14 pens  

We need to find the gain percent.

Let the S.P of 1 pen be x and the C.P of 1 pen be y.

From the given info we get that

$\begin{aligned}&10 x=14 y\\\\&x=\frac{14 y}{10}\\\\&x=\frac{7}{5} y\end{aligned}$

The formula to find gain percentage is:

$G . P \%=\frac{S . P-C . P}{C . P} \times 100$

Therefore,

$G \cdot P \%=\frac{x-y}{y} \times 100\\\\G \cdot P \%=\frac{\frac{7 y}{5}-y}{y} \times 100\\\\G . P \%=\frac{2 y}{5 y} \times 100\\\\G . P \%=40 \%$

Therefore, the gain percent is 40%

Learn more about gain percent

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Answer 2

Answer:

40%

Step-by-step explanation:

40%

Let the CP of 1 pen be rs10

Then,

CP of 14 pens will be 14×10=140

And

CP of 14 pens=SP of 10 pens

Hence..

SP of 10 pens = 140

Then,,

SP of 1 pen=140÷10=14

Gain=SP-CP. → 14 - 10→ Rs 4

Gain%=gain/CP×100

→ 4/10×100 =40%

Your ans. is 40% gain