A shopekeeper sells one machine for 990 rupees at profit 10% and another machine for 1960 rupees at loss of 2% what is his gain or loss percentage.
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A shopekeeper sells one machine for 990 rupees at profit 10% and another machine for 1960 rupees at loss of 2% what is his gain or loss percentage.
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Answer:
Given:
SP of a machine = Rs. 990
Profit% = 10 %
SP of other machine = Rs. 1960
loss% = 2 %
We know that,
CP * (100 + profit%)/100 = SP
So,
first machine:
CP * (100 + 10)/100 = 990
⟹ CP = 990 * 100/110
⟹ CP = Rs. 900
second machine:
We know that,
CP * (100 - loss%)/100 = SP
⟹ CP * (100 - 2)/100 = 1960
⟹ CP = 1960 * 100/98
⟹ CP = Rs. 2000
Now,
We have to find the total loss or profit percentage.
Total SP = 990 + 1960 = Rs. 2950
Total CP = 900 + 2000 = Rs. 2900.
We observe that,
SP < CP.
so, a gain is occured.
gain % = gain/CP * 100
gain = SP - CP
So,
gain% = (2950 - 2900)/2900 * 100
⟹ gain% = 50/29
⟹ gain% = 1.72 %
∴ A gain 1.72% is occured in the whole transaction.