Question

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.​

Answer 1

Answer:

SP OF 1ST PHONE = 8000(1-4/100)

= 8000(96/100) = 7680 RS

SP OF 2ND PHONES = 8000(1+8/100)

= 8000(108/100) = 8640

CP OF 2 PHONES = 16,000 RS

SP OF 2 PHONES = 7680 + 8640

= RS 16,320

PROFIT OF 320 RS

P% = 320/16000 × 100 = 2%

Step-by-step explanation:

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Answer 2

Answer:

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 = 96/100

Now, given, CP = 8000

Hence, SP = 96/100 × 8000 = 7680

so 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 = 108/100

Now, given CP = 8000

hence, SP = 108/100 × 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

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

the overall profit percentage will be-

Profit% = (Profit/Total Cost Price) × 100 = (320/16000) × 100 = 2

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