A man purchase two machines at Rs. 1200 each. On one he gain 20% and on the
other he loses 20%. How much does he gain or lose in whole transaction. . plz in process with correct answer.
Answers
12% loss
thankyou so much
Formula
Profit%={SP-CP}×100÷CP
Loss%={CP-SP}×100÷CP
As given
A man sold two chairs at Rs. 1,200 each. On one he gained 20% and on the other he lost 20%.
Let us assume that the cost price for the chair which gave 20% profit be x .
S.P = Rs 1200
Profit % = 20%
Putting all the values in the formula
20=(1200−x)×100÷X
20x = 120000 - 100x
100x +20x = 120000
120x = 120000
x = Rs1000
Thus cost price of the first chair is Rs 1500
Let us assume that the cost price for the chair which gave 20% loss be y .
S.P = Rs 1200
Loss % = 20%
Putting all the values in the formula
20=(y−1200)×100÷Y
20y = 100y - 120000
100y - 20y = 120000
80y = 120000
y = Rs1500
Therefore the cost price of the second chair is Rs 1500 .
Total cost price of two chairs = Rs1000 + Rs1500= Rs 2500
Total selling price of two chair = Rs 1200 + Rs 1200= Rs 2400
Loss = C .P - S.P
= 2500 - 2400
= Rs 100
Put in the formula
Loss%=100×100÷2500
Loss%=100000÷2500
Loss % = 4%
Therefore the loss in the whole transaction is 4% .