A owns a house worth Rs. 10000. He sells it to B at a profit

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A owns a house worth Rs. 10000. He sells it to B at a profit of 10% based on the worth of the house B sell the house back to A at a loss of 10%. In this transaction A gets ?

1. No profit no loss
2. Profit of Rs . 1000
3. Profit of Rs . 1100
4. Profit of Rs . 2000

Correct Option: C

C.P. of B = 110% of Rs. 10000 = Rs. 11000
Loss of B = 10%
S.P. of B = 90% of Rs. 11000 = Rs. 9900
Thus, C.P. of A = Rs. 9900
So, A gets [(10% of Rs. 10000) + (10000 - 9900)] = Rs. 1100