Question

A shopkeeper earns a profit of Rs 3 by selling one hair clip and incurs a loss of Rs 2 by selling one rubber band. find his net profit or loss if sells 5hair clips and 8rubber bands. ​

Answer 1

Answer:-

Given:

Profit earned by hair clip = Rs. 3

Loss incurred by Rubber band = Rs. 2

We know that,

• Profit = SP - CP

• Loss = CP - SP

So,

For Hair clip ,

★ SP - CP = 3

⟶ SP = 3 + CP -- equation (1)

For Rubber band,

★ CP - SP = 2

⟶ CP - 2 = SP -- equation (1)

Now,

The shopkeeper sold 5 hair clips and 8 rubber bands.

So,

★ CP of 5 hair clips = 5CP

★ SP of 5 hair clips = 5SP = 5( 3 + CP) = 5CP + 15

[ From equation (1) ]

★ CP of 8 rubber bands = 8CP

★ SP of 8 rubber bands = 8SP = 8(CP - 2) = 8CP - 16

[ From equation (2) ]

We observe that,

SP of hair clips is greater than the CP & CP of rubber bands greater than the SP.

So,

A profit is occured by selling hair clips and a loss is incurred by selling rubber bands.

★ Profit (Hair clips) = 5CP + 15 - 5CP = Rs. 15

★ Loss (rubber bands) = 8CP - (8CP - 16) = 8CP - 8CP + 16 = Rs. 16.

We observe that,

Loss > Profit.

Hence,

Net loss = Loss - Profit

⟶ Net loss = 16 - 15

⟶ Net loss = Rs. 1

∴ A loss of Rs. 1 is incurred if the shopkeeper sells 5 hair clips and 8 rubber bands.

Answer 2

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Given:

• Profit earned by hair clip = Rs. 3

• Loss incurred by Rubber band = Rs. 2

We know that,

• Profit = SP - CP

• Loss = CP - SP

29

So,

For Hair clip,

* SP - CP = 3

+ SP = 3 + CP -- equation (1)

For Rubber band,

* CP - SP = 2

CP - 2 = SP -- equation (1)

Now,

The shopkeeper sold 5 hair clips and 8

rubber bands.

29

So,

* CP of 5 hair clips = 5CP

* SP of 5 hair clips 5SP = 5( 3 + CP) = 5CP

+ 15

[ From equation (1) ]

* CP of 8 rubber bands = 8CP

* SP of 8 rubber bands = 8SP = 8(CP - 2) =

8CP - 16

ll

29

[ From equation (2)]

We observe that,

SP of hair clips is greater than the CP & CP of rubber bands greater than the SP.

So,

A profit is occured by selling hair clips and a loss is incurred by selling rubber bands.

* Profit (Hair clips) = 5CP + 15 - 5CP = Rs. 15

* Loss (rubber bands) = 8CP - (8CP - 16) = 8CP -8CP + 16 = Rs. 16.

We observe that,

Loss > Profit.

Hence,

Net loss = Loss - Profit

Net loss = 16 - 15

Net loss = Rs. 1

:. A loss of Rs. 1 is incurred if the

shopkeeper sells 5 hair clips and 8 rubber bands.