Rahul sold a watch to Sohan at a gain of 10% and sohan sold it to Mohan at a loss 10% if Mohan paid rupees 990 for find the price paid by Rahul
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Let the C.P of the watch when Rahul bought it be x rs.
gain % when sold to Sohan=10% of x
gain made=rs.10/100×x=x/10
S.P for rahul=gain +C.P
=x+x/10
=11x/10
S.P for rahul= C.P for sohan=11x/10
loss % when sold to Mohan=10% of 11x/10
loss=11x/100
S.P for sohan=C.P- loss
=11x/10-11x/100
=99x/100
S.P for sohan=C.P for Mohan
A/Q
990=99x/100
=)990×100÷99=x
=)x = 1000
gain % when sold to Sohan=10% of x
gain made=rs.10/100×x=x/10
S.P for rahul=gain +C.P
=x+x/10
=11x/10
S.P for rahul= C.P for sohan=11x/10
loss % when sold to Mohan=10% of 11x/10
loss=11x/100
S.P for sohan=C.P- loss
=11x/10-11x/100
=99x/100
S.P for sohan=C.P for Mohan
A/Q
990=99x/100
=)990×100÷99=x
=)x = 1000
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