A, B and C started a business. A invests
1
2
capital for
1
4
time, B invests
1
8
capital for
1
2
time and C invests the remaining capital for whole time. Find the share of B in the total profit of 9900
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Initial Ratio =4:5:6
A′s share for 8 months =4×8
A′s share for 4 months =3×4 (half of C′s share)
Thus their total share:
⇒4×8+3×4:5×12:6×12
⇒44:60:72
⇒11:15:18
Let total profit be x
B′s profit is Rs 7500
Thus,
⇒11+15+1815×x=7500
⇒4415x=7500
⇒x=22000
∴ Total profit =22000 Rs.
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