A samsung duo and a galaxy are bought for rs.40000.The Duo is sold at a profit of 33.33% and the galaxy is sold at loss of 20%.There was no loss or gain .Find the cost price of duo.
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let the cost price of duo=A and galaxy=B
i.e. A+B=40000 i.e. B=40000-A........................1
sale price of A=A+A/3=4A/3
and SP of B=B-20B/100=4B/5
i.e. 4A/3+4B/5=40000
by putting value of B from 1, we get
4A/3+4(40000-A)/5=40000
i.e. 20A+12(40000-A)=15x40000
i.e. 8A=40000(15-12)
i.e. A=40000x3/8=15000= CP of Duo
put in 1, we get
B=40000-15000=25000=CP of Galaxy
i.e. A+B=40000 i.e. B=40000-A........................1
sale price of A=A+A/3=4A/3
and SP of B=B-20B/100=4B/5
i.e. 4A/3+4B/5=40000
by putting value of B from 1, we get
4A/3+4(40000-A)/5=40000
i.e. 20A+12(40000-A)=15x40000
i.e. 8A=40000(15-12)
i.e. A=40000x3/8=15000= CP of Duo
put in 1, we get
B=40000-15000=25000=CP of Galaxy
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