Question

A man sells one speaker for ₹ 7500 at a profit of 20 % and another speaker for ₹8100 at a loss of 10 % . Find his total loss or profit​

Answer 1

Answer:

profit=1500

Loss=810

Step-by-step explanation:

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Answer 2

There will be a profit of ₹350

Given : A man sells one speaker for ₹ 7500 at a profit of 20% and another speaker for ₹8100 at a loss of 10%

To find :

To find :Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the total loss or profit)

Let, the cost price of the first speaker = ₹ x

So, its selling price will be :

= Cost price + 20% profit

= x + (x × 20%)

= x + (x × 20/100)

= x + (x × 1/5)

= x + (x/5)

= (5x + x)/5

= ₹ 6x/5

According to the data mentioned in the question,

6x/5 = 7500

x = 7500 × 5/6

x = 6250

So, the cost price of the first speaker is = ₹6250

Let, the cost price of the second spekar = ₹ y

So, its selling price will be :

= Cost price - 10% loss

= y - (y × 10%)

= y - (y × 10/100)

= y - (y/10)

= (10y-y)10

= ₹ 9y/10

According to the data mentioned in the question,

9y/10 = 8100

y = 8100 × 10/9

y = 9000

So, the cost price of the second speaker = ₹9000

Total cost price of two speakers :

= 6250 + 9000

= ₹ 15250

Total selling price of two speakers :

= 7500 + 8100

= ₹15600

So, total selling price > total cost price

Which means, there will be a profit.

So, the profit amount :

= Total selling price - Total cost price

= ₹ (15600 - 15250)

= ₹350

Hence, there will be profit of ₹350