Question

12. If selling price of 1 1/2 dozen pens is equal to the cost price of 2 dozen pens, find the profit /loss percentage
O 25% loss
O 25% gain
0 33.33% gain
O 33.33% loss
(1 mark)​

Answer 1

Answer:

If the cost price of 12 pens is equal to the selling of 8 pens the gain percent is,

Let the cost price of 1 pen is Re 1

Cost of 8 pens =Rs 8

Selling price of 8 pens =Rs 12

Gain%=(cost priceGain×100)%

=(812−8×100)%

=(84×100)%

=50%

Answer 2

Answer:-

Given:

• S.P of 1½ dozen pens = C.P. of 2 dozen pens

To Find:

• Profit or loss %

Solution:

➲ Let the S.P. of 1½ dozen pens be x

So, S.P. of each pen = x ÷ 18

[1 dozen = 12]

[1½ dozen = 12 + 6 = 18]

➲ C.P. of 2 dozen pen = S.P. of 1½ dozen pen = x

C.P. of 1 pen = x ÷ 24

➲ Here,

S.P. > C.P.

It means profit is here.

➲ Profit = S.P. - C.P.

= (x÷18) - (x÷24)

= (4x - 3x) ÷ 72

= x/72

➲ Profit % = (Profit × 100) ÷ C.P.

= [{x/72} ×100] ÷ (x/24)

= (100x/72) ÷ (x/24)

= (100x/72) × (24/x)

= (100x ÷ x) / (72 ÷24)

= 100 /3

= 33.33%(approx.)

∴ Profit % is 33.33%

So, Option iii is corect.