Question

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​

Answer 1

Step-by-step explanation:

Answer:-

Given:-

Ratio of capitals of a, b & c = 5 : 6 : 4

Let us assume that b invests money for x months

So,

⟹ Ratio of their shares = 5 × 12 months : 6 × x months : 4 × 12 months.

[ 12 months are multiplied because a & c invested the money for 1 year ]

⟹ Ratio of their shares = 60 : 6x : 48 = 10 : x : 8

Now,

Let the profit received by all the three be Rs. P.

So,

⟹ B's share = 25% of P

⟹ { x/(10 + x + 8) } * P = (25/100) * P

⟹ x/(18 + x) = 25/100

⟹ 100x = 25(18 + x)

⟹ 100x/25 = 18 + x

⟹ 4x - x = 18

⟹ 3x = 18

⟹ x = 18/3

⟹ x = 6

∴ b invests money for 6 months.

Answer 2

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Initial investment ratio =4:5:6

Let the common invested amount be x Rs. 

sum invested by A,

⇒4x=48000. 

⇒x=12000  Rs.

Thus B invested =5×12000=60000

Thus C invested =6×12000=72000 

Ratio in which the profit will be divide,

=48000×12:60000×12:72000×6+36000×6

=8:10:9.

Total profit =60000 Rs 

So C's share =279×60000=20000 Rs.