## new bna lo please :)points du ?three persons a b,and c invest in a business in the ratio 5:6:4 if a and c invest

Question

points du ?

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 yearâ€‹

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2 years 2021-07-08T04:32:30+00:00 2 Answers 0 views 0

1. Step-by-step explanation:

Let the investment of b be x

Share of A = 5 Ã— 12 = 60

Share of B = 6 Ã— x = 6x

Share of C = 4 Ã— 12 = 48

Ratio = 60:6x:48

Ratio = 30:3x:24

Ratio = 10:x:8

So,

Share of B = x/Ratio Ã— Profit = 25% of profit

x/(10 + x + 8) Ã— P = 25/100 Ã— P

x/(18 + x) Ã— P = 25/100 Ã— P

x/(18 + x) = 25/100

100x = 25(18 + x)

100x = 450 + 25x

100x – 25x = 450

75x = 450

450/75 = x

6 = x

2. $$\large\bf{\underline{\red{VERIFIEDâœ”}}}$$

Initial investment ratioÂ =4:5:6

Let the common invested amount beÂ xÂ Rs.Â

sum invested by A,

â‡’4x = 48000.Â

â‡’x = 12000Â  Rs.

Thus B investedÂ = 5Ã—12000

= 60000

Thus C investedÂ = 6Ã—12000

= 72000Â

Ratio in which the profit will be divide,

= 48000Ã—12:60000Ã—12:72000Ã—6+36000Ã—6

= 8:10:9.

Total profitÂ = 60000Â RsÂ

So C’s shareÂ = 9/27Ã—60000

= 20000Â Rs.