Question

18. A shopkeeper bought two phones for Rs. 8,000 each. After selling the phones, there was a loss of
4% on the 1st phone while a profit of 8% on the 2nd phone. Calculate the overall gain or loss per
cent on the whole transaction.
(i) What is the cost price of second phone?
(it) What is the difference between loss and gain?
(ili) What is the total gain?
(iv) What is the total loss?​

Answer 1

Step-by-step explanation:

As the shopkeeper bought both phones at Rs. 8000 each.

Total cost price = Rs. 16,000

Assume that the cost price of the 1st phone is Rs. 100

Consider the deal of phone 1,

As it is given, there is 4% loss, the selling price will be = Rs. 96

For CP = 100, SP = 96

So, for CP = 1, SP=\frac{ 96}{100}=

100

96

Now, given, CP = 8000

Hence, SP = \frac{96}{100} × 8000 = 7680

100

96

×8000=7680

SP= \frac {100}{96} ×8000=7680

96

100

×8000=7680

Thus, the selling price of 1st phone = Rs. 7680

Consider the deal of phone 2, there is an 8% profit.

Hence, the selling price will be = Rs. 108

For CP = 100, SP = 108

So, for CP = 1, SP =\frac{108}{100}

100

108

Now, given CP = 8000

hence, SP = \frac{108}{100} × 8000 = 8640

100

108

×8000=8640

Thus, the selling price of 2nd phone = Rs. 8640

Here, the total selling price will be = Rs. 7680 + Rs. 8640 = 16320

Now, it can be seen that,

Total selling price > total cost price i.e. Rs. 16320 > Rs. 16000

So, there is a profit of Rs. (16320 – 16000) = Rs. 320

Now, the overall profit percentage will be-

Profit% = (\frac{Profit}{Total\:Cost\:Price}) × 100 =\frac{ 320}{16000 }× 100 = 2(

TotalCostPrice

Profit

)×100=

16000

320

×100=2

Therefore, there is a total of 2% profit for the whole transaction.

Answer 2

Step-by-step explanation:

1 . 4000

2 . loss is a thing we lose and And gain is meant for profit

3 . total gain 5500

4 . 2000