a shopkeeper bought two phones for rs.8000 each after selling the phones there was a loss 4% on the 1st phone while a profit of 8% on the 2nd phone calculate the overall gain or loss percent on the whole transaction.
Answers
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
Now, given, CP = 8000
Hence, SP =
SP=
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 =
Now, given CP = 8000
hence, SP =
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% =
Therefore, there is a total of 2% profit for the whole transaction.