Question

Sanjay, Ashok and Ketan started a business with their investment in the ratio
1:3:5. After 4 months, Sanjay invested the same amount as before and Ashok
as well as Ketan withdrew half of their investment. What is the ratio of their
profits at the end of the year ?
(3)
6:5:10
5:6:10
(4)
10 : 5:6
(2)
(1) 4: 3:5​

Answer 1

Solution :-

Let us assume that, Sanjay, Ashok and Ketan invest Rs.10x, Rs.30x and Rs.50x respectively .

now,

→ Sanjay invest Rs.10x for = 4 months .

then,

→ Sanjay invest same amount as before which is Total Rs.20x for = 8 months . (1 year - 4 months)

similarly,

→ Ashok invest Rs.30x for = 4 months .

then,

→ Ashok withdraw half of amount as before which is Total Rs.15x for = 8 months . (1 year - 4 months)

and,

→ Ketan invest Rs.50x for = 4 months .

then,

→ Sanjay withdraw half of amount as before which is Total Rs.25x for = 8 months . (1 year - 4 months)

Now, we know that,

• Ratio of Profit = Ratio of investment * Time .

therefore,

→ Sanjay Profit : Ashok Profit : Ketan Profit = (10x*4 + 20x*8) : (30x*4 + 15x*8) : (50x*4 + 25x*8)

→ Sanjay Profit : Ashok Profit : Ketan Profit = (40x + 160x) : (120x + 120x) : (200x + 200x)

→ Sanjay Profit : Ashok Profit : Ketan Profit = 200x : 240x : 400x

→ Sanjay Profit : Ashok Profit : Ketan Profit = 5 : 6 : 10 (Ans.)

Hence, the ratio of their profits at the end of the year is 5 : 6 : 10 .

Learn more :-

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Answer 2

Answer:

Step-by-step explanation:

Sanjay , Ashok and Ketan invested their money in the ration of 1:3: 5

Let the Sanjay invested X

He invested amount for 4 months, Later on he invested same amount for 1remaining months - 8 months ( 2x)

Ashok invested = 3x (4 months)

he withdrew half of his investment = 3x/2 = 1.5x (8 months)

Ketan invested = 5x (4 months)

he withdrew half of his investment = 5x/2 = 2.5x (8 months)

New ratio will be : (x*4 + 2x*8) : (3x*4 + 1.5x*8) : (5x*4 + 2.5x*8)

= (4x + 16x) : (12x + 12x) : 20x + 20x

= 20x : 24x : 40x

= 5 : 6 : 10