Amar and Ranjit invested 2,00,000 and 3,20,000 respectively in a business and agreed that 60%
of the profits should be divided equally in the ratio of their investment. If Ranjit gets ' 1,08,000 more
than the Amar gets, what is the total profit made in the business?
(a) 4,80,000
(b) 5,40,000
(c) ' 6,00.000
(d) 7,20.000
(e) '8.10.000
Answers
The correct answer of this question is none of the above.
The total profit amount is =₹ 780000
Given data :
Amar's investment = ₹200000
Ranjit's investment = ₹320000
Total profit for division = 60%
Ranjit gets 108000 more than Amar.
So,
Their investment ratio = 200000 : 320000 = 20:32 = 10:16 = 5:8
Let,the total profit amount = x
So, 60% of the profit = (x × 60/100) = 3x/5
So, Amar's and Ranjt's profit according to the investment ratio will be = 5a and 8a (Let,a = variable)
So,
5a+8a = 3x/5... (1)
And, 8a-5a = 108000....(2)
Adding (1) and (2)
5a+8a+8a-5a = 3x/5 + 108000
16 a = (3x+540000)/5
a = (3x+540000)/80
Now, putting the value of 'a' in equation (1),we get =
[5×{(3x+540000)/80}] + [8×{(3x+540000)/80}] = 3x/5
{(3x+540000)/16} + {(3x+540000)/10} = 3x/5
(15x+2700000+24x+4320000)/80 = 3x/5
39x + 7020000 = 48x
9x = 7020000
x = 780000 (answer)
Answer:
720000 is the answer according to me