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Question

Malik sells two tables for Rs.3000 each. He gains 20% on one table and on the other he loses 20%. Find his gain or loss percent on the whole transaction.

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Solution

Selling Price of each table =Rs. 3000

Case 1:

Gain on Table1 =20%,

SP=CP+20% of CP

Rs. 3000=CP+20100CP

Rs. 3000=120100×CP

Rs. 3000×100120=CP

Rs. 250×100=CP

CP=Rs. 2500 ---(1)

Case 2:

Loss on table 2 =20%

SP=CP20% of CP

Rs. 3000=CP20100CP

Rs. 3000=80100×CP

Rs. 3000×10080=CP

Rs. 37.5×100=CP

CP=Rs. 3750 ---(2)

From (1) and (2),

Total CP=Rs. 2500+Rs. 3750=Rs. 6250

Total SP=Rs. 3000+Rs. 3000=Rs. 6000

Since, CP>SP

So, Malik incurs Loss.

Loss =SPCP=Rs. 6520Rs. 6000=Rs. 250

Loss percentage =LossCP×100

=2506250×100

=10025

=4

Therefore, Malik get 4% loss on the whole transaction.


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