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.

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Answer 1

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$\huge\tt{GIVEN:}$

• The shopkeeper bought both phones at ₹8,000 each.
• Total cost price = ₹ 16,000

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$\huge\tt{TO~FIND:}$

• The overall gain or loss %

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$\huge\tt{SOLUTION:}$

Assume that the cost price of the 1st phone is ₹100

Considering the deal of phone 1,

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

↪CP = 100

↪SP = 96

So, for CP = 1, SP = 96/100

Now,

↪ CP = ₹8000

↪SP = 96/100 × 8000

↪SP = 7680

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

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Assume that the cost price of the 1st phone is ₹100

Considering the deal of phone 2,

There is an 8% profit

↪The selling price will be = ₹108

↪CP = 100

↪SP = 108

So, for CP = 1, SP = 108/100

given CP = ₹8000

Hence,

↪ SP = 108/100 × 8000

↪SP= ₹8640

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

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Here, the total selling price will be = ₹(7680 + 8640) = ₹16320

Now, We know that

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

There is a profit of ₹(16320 – 16000) = ₹ 320

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Now, the overall profit percentage will be-

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

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

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Answer 2

Answer:

__________________________________

\huge\tt{GIVEN:}GIVEN:

The shopkeeper bought both phones at ₹8,000 each.

Total cost price = ₹ 16,000

__________________________________

\huge\tt{TO~FIND:}TO FIND:

The overall gain or loss %

__________________________________

\huge\tt{SOLUTION:}SOLUTION:

Assume that the cost price of the 1st phone is ₹100

Considering the deal of phone 1,

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

↪CP = 100

↪SP = 96

So, for CP = 1, SP = 96/100

Now,

↪ CP = ₹8000

↪SP = 96/100 × 8000

↪SP = 7680

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

__________________________________

Assume that the cost price of the 1st phone is ₹100

Considering the deal of phone 2,

There is an 8% profit

↪The selling price will be = ₹108

↪CP = 100

↪SP = 108

So, for CP = 1, SP = 108/100

given CP = ₹8000

Hence,

↪ SP = 108/100 × 8000

↪SP= ₹8640

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