Mr. Mehta purchased a video for Rs. 20000 and a television for Rs.30000. If he lost 5% on the video and on the television he earned a profit of 8% then what will be his total gain or loss percent?

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2.8% Loss

2.3% Loss

2.8% Gain

3.2% Gain

answer is C.

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Detailed Solution

Given that, Mr. Mehta purchased a video for Rs. 20000 and a television for Rs. 30000. If he lost 5% on the video and on the television he earned a profit of 8%.
We have the following formula:
S.P=selling price.
C.P=cost price.
Gain=S.P-C.P

G a i n % = S . P − C . P C . P × 100

Loss=C.P-S.P

L o s s % = C . P − S . P C . P × 100

The S.P of video at which he lost 5% is,

= 100 − 5 100 × 20000 = 95100 × 20000 = 19000

Therefore, S.P of TV at which he gain 8% is,

= 100 + 8 100 × 30000 = 108100 × 30000 = 32400

Total S.P,
=19000+32400
=51400
Total C.P is,

= 20000 + 30000 = 50000

The gain percent of the cycles is,

= 51400 − 50000 50000 × 100 = 140050000 × 100 = 2.8 %

The gain percent is 2.8%.
Therefore, the correct option is 3.

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