A businessman sold two television sets at the rate rupees 36,000 for each television set . if he gets 20% profit on one television set and 20% loss on the other television set, then find the percentage of profit or loss in total transaction
Answers
He suffered 4% loss in total transaction.
Step-by-step explanation:
A businessman sold two television sets at the rupees = 36,000
He gets 20% profit on one television set and 20% loss on the other set.
Let the cost price of Television a = x
and the cost price of Television b = y
selling price of TV a and b each = 36,000 Rs.
In selling TV a he gained profit = 20%
x + 20%x = 36000
0.20x = 36000 - x
36000 = 1.20x
x = 36000/1.20
x = 30,000
In selling TV b he lost 20%
y - 20%x = 36000
36000 - y = -0.2y
36000 = 0.8y
y = 36000/0.8
y = 45,000
Total cost price of TV a and b = 30,000 + 45,000
= 75,000 Rs.
Total selling price of TV a and b = 36000 + 36000
= 72,000 Rs.
Loss = CP > SP
He suffered loss of 75,000 - 72,000 = 3,000
Percentage of his loss =
= 0.40 × 100
= 4% loss
He suffered 4% loss in total transaction.
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