A plot of land is sold for Rs 253,000 at a profit of 10%. Find its cost price.
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ANSWER
C.P of the total land=Rs.3,00,000
Sold
3
1
rd
of land at the loss of 20%
C.P of
3
1
rd
of land=
3
1
×3,00,000=Rs1,00,000
S.P of
3
1
rd
of land=C.P×(1−
100
loss%
)
=1,00,000×(1−
100
20
)=1,00,000×
100
80
=Rs.80,000
Similarly, sold
5
2
th
at a gain of 25% is
C.P of
5
2
th
of land=
5
2
×3,00,000=Rs.1,20,000
S.P of
5
2
th
of land=1,20,000×(1+
100
25
)
=1,20,000×
100
125
=Rs1,50,000
Total Gain% required=10%
Total S.P required=Total C.P×(1+
100
Gain%
)
=3,00,000×(1+
100
10
)=3,60,000×
100
110
=Rs.3,30,000
S.P of balance land=3,30,000−80,000−1,50,000=Rs.1,00,000
∴ he has to sell the balance land at Rs.1,00,000
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