A man sold two machines at Rs. 990 each. On one he gained 10% and on the other he losses 10%. Find the percentage of profit or loss in the total transaction.
Answers
Answer:
Step-by-step explanation:
99/100 = 2× 990/?
=? = RS 1980
Therefore, loss= 2000- 1980
= RS 20
Concept:
Cost Price is the cost at which anything is purchased that can be calculated by:
When the Gain% is given,
Cost Price = (Selling price )×100/(100+Gain%)
When the Loss% is given,
Cost Price = (Selling price )×100/(100 - Loss%)
Given:
The selling price of the two machines is Rs. 990 each.
On one he gained 10% profit and on the other, he lost 10%.
Find:
Percentage of profit or loss in the total transaction.
Solution:
Given,
Gain % = 10%
Cost Price = (Selling price )×100/(100+Gain%)
CP₁ = (990)×100/(100+10) = 99000/110
CP₁ = 900
So, the cost price of one fan is ₹ 900.
Loss % = 10%
Cost Price = (Selling price )×100/(100 - Loss%)
CP₂ = (990)×100/(100-10) = 99000/90
CP₂ = 1100
So, the cost price of another fan is ₹ 1100.
Hence, the total cost price is CP = CP₁ + CP₂ = 1100 + 900 = 2000.
Total Selling price is:
SP= ₹(990+990) = ₹ 1980
As the Cost price is greater than the selling price. He gets the loss of ₹ 20.
Loss = Cost price - Selling Price
Loss% = Loss×100/ Cost Price
Loss% = 20×100/ 2000 = 1%
Hence, there is a loss in the total transaction and the percentage loss in the total transaction is 1%.
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