Question

the cost price of 10 pens is equal to the selling price of 15 pens find the loss or gain percent.​

Answer 1

Step-by-step explanation:

let CP of 1 pen=rs 1

So CP of 10 pens=rs 10

then SP of 15 pens=CP of 10 pens

i.e SP of 15 pens=rs 10

CP of 15 pens=rs 15

so there is a loss.

loss=CP-SP

=15-10

=rs 5

so loss percentage=loss/CP* 100

=5/15*100

=100/3

=33.3%

Answer 2

The loss percentage = 33.33%

Given :

The cost price of 10 pens is equal to the selling price of 15 pens

To find :

The loss or gain percent.

Solution :

Step 1 of 3 :

Write down Cost price and Selling price

Let cost price of 10 pens = selling price of 15 pens = Rs. 30x

(We take 30 as LCM of 10 and 15 is 30)

Cost price of 1 pen = Rs. 3x

Selling price of 1 pen = Rs. 2x

Step 2 of 3 :

Calculate amount of loss or profit

Now 3x > 2x

∴ Cost price > Selling price

So there is loss

Loss amount

= Cost price - Selling price

= Rs. 3x - Rs. 2x

= Rs. x

Step 3 of 3 :

Calculate loss percentage

Hence the required loss percentage

$\displaystyle \sf{ = \frac{x}{3x} \times 100 \% }$

$\displaystyle \sf{ = \frac{1}{3} \times 100 \% }$

$\displaystyle \sf{ \approx 33.33 \% }$

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