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three persons a b,and c invest in a business in the ratio 5:6:4 if a and c invest
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new bna lo please 🙂
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three persons a b,and c invest in a business in the ratio 5:6:4 if a and c invested for one year then b should invest for how many months if he wants to receive 25% of the total profit at the end of one year​
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Mathematics
2 years
2021-07-08T04:32:30+00:00
2021-07-08T04:32:30+00:00 2 Answers
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Answers ( )
Step-by-step explanation:
Let the investment of b be x
Share of A = 5 × 12 = 60
Share of B = 6 × x = 6x
Share of C = 4 × 12 = 48
Ratio = 60:6x:48
Ratio = 30:3x:24
Ratio = 10:x:8
So,
Share of B = x/Ratio × Profit = 25% of profit
x/(10 + x + 8) × P = 25/100 × P
x/(18 + x) × P = 25/100 × P
x/(18 + x) = 25/100
100x = 25(18 + x)
100x = 450 + 25x
100x – 25x = 450
75x = 450
450/75 = x
6 = x
Initial investment ratio =4:5:6
Let the common invested amount be x Rs.Â
sum invested by A,
⇒4x = 48000.Â
⇒x = 12000 Rs.
Thus B invested = 5×12000
= 60000
Thus C invested = 6×12000
= 72000Â
Ratio in which the profit will be divide,
= 48000×12:60000×12:72000×6+36000×6
= 8:10:9.
Total profit = 60000 RsÂ
So C’s share = 9/27×60000
= 20000Â Rs.