Question

a shopkeeper sells a table and chair each at rs. 20.However the chair is sold at the profit at 15%while the table is sold at a loss of 15 % find the loss profit to the shopkeeper​

Answer 1

Answer:-

Given:-

CP of 1 table = Rs. 20

CP of 1 chair = Rs. 20.

Profit on selling chair = 15%

We know that,

SP = CP × (100 + Profit%) /100

So,

⟹ SP of 1 chair = 20 × (100 + 15) / 100

⟹ SP of 1 chair = 20 * 115/100

⟹ SP of 1 chair = Rs. 23

Also given that,

loss occurred on selling the table = 15%.

We know,

SP = CP × (100 - loss%) /100

⟹ SP of 1 table = 20 × (100 - 15)/100

⟹ SP of 1 table = 20 * 85/100

⟹ SP of 1 table = Rs. 17

Now,

We have to find whether this transaction gains profit or loss through comparing the total SP and CP.

• Total SP = SP of chair + SP of table = 23 + 17 = Rs. 40

• Total CP = CP of chair + CP of table = 20 + 20 = Rs. 40.

We observe that, SP = CP.

∴ Neither profit nor loss is occured in the whole transaction.

Answer 2

Given :-

A  shopkeeper sells a table and chair each at rs. 20.However the chair is sold at the profit at 15%while the table is sold at a loss of 15 %

To Find :-

Loss or profit

Solution :-

In case of table

CP = 20

Loss = 15 %

SP = CP × (100 - loss%) /100

SP = 20 × (100 - 15)/100

SP = 1 × (100 - 15)/5

SP = 1 × 85/5

SP = 85/5

SP = 17

Now

In case of Chair

CP = 20

Profit = 15%

SP = CP × (100 + Profit%)/100

SP = 20 × (100 + 15)/100

SP = 1 × (100 + 15)/5

SP = 1 × 115/5

SP = 115/5

SP = 23

Now

Total CP = 2(20) = 40

Total SP = 17 + 23 = 40

Since

SP = CP

Hence, Neither profit nor loss