Question

a man sold two washing machines for rs.9900 each. he sold one at a gain of 10% and the other at a loss of 10% . find his gain or loss % in the whole transaction

Answer 1

For 1st washing machine :
Cp = 9900
Profit %= 10%
Sp = 9900 + 9900 /100 * 10 ( taking out the percentage)
= Rs 10,980
Profit = Rs 990
For 2nd washing machine:
Cp = 9900
Loss % = 10 %
Sp = 9900 - 9900/100*10
= Rs 8910
loss = Rs 990
Balance on whole transaction = 10980 - 8910
= 1980
Therefore his profit is = 1980
And profit % = 1980 / 19800 (9900 * 2) * 100
= 10 %

Answer 2

SP of washing machine 1 = Rs. 9900

Gain = 10 percent.

So let the CP be x,

So, 9900 ( SP)= x + 10x/100 = 11x/10; So, x = 99000/11 = 9000 rupees

SP of washing machine 2 Rs. 9900

Loss = 10 percent

So, let the CP be x,

So, 9900 (SP) = x - 10x/100 = 9x/10; SO, x = 99000/9 = 11000 rupees

So, Total CP = 9000 + 11000 = 20000 rupees

Total SP = 9900 + 9900 = 19800 rupees

So, profit = 200 rupees

So profit percent = 200/ 20000 * 100 = 1 percent

Answer : Gain percent of 1 percent

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