A, B and C invested 900, 1600
and 700 respectively in a business venture. After end of the firs
quarter they invested additional amount in the ratio of 2:5:3
Then after end of the second quarter A, B and C invested
additional amount in the ratio of 4: 3:4.
Again after end of the 3M quarter they invested additional amount
in the ratio of 7:6:7. They invested the whole amount for one
year and the profit earned in the business is proportional to the
investment and the period of investment.
Question - If they had invested additional amount at the end of each
quarter in same ratio as they had invested after end of the
first quarter then find the profit of B at the end of one year
if the total profit at the end of the year is 125000.
Answers
Answer:
Step-by-step explanation:
go and ask the bank manager.
Given : A, B and C invested 900, 1600 and 700 respectively in a business venture.
After end of the first quarter they invested additional amount in the ratio of 2:5:3
Then after end of the second quarter A, B and C invested additional amount in the ratio of 4: 3:4.
Again after end of the 3M quarter they invested additional amount in the ratio of 7:6:7
To Find : If they had invested additional amount at the end of each quarter in same ratio as they had invested after end of the first quarter then find the profit of B at the end of one year if the total profit at the end of the year is 125000.
Solution:
After end of the first quarter they invested additional amount in the ratio of 2:5:3
A B C
2x 5x 3y after Q1
If they had invested additional amount at the end of each quarter in same ratio as they had invested after end of the first quarter
2y 5y 3y after Q2
2z 5z 3z after Q3
900 1600 700 at beginning of year
Investment of A = 900 * 12 + 2x * 9 + 2y*6 + 2z* 3
= 3( 3600 + 6x + 4y + 2z)
Investment of B = 1600 * 12 + 5x * 9 + 5y*6 + 5z* 3
= 3( 6400 + 15x + 10y + 5z)
Investment of C = 700 * 12 + 3x * 9 + 3y*6 + 3z* 3
= 3( 2800 + 9x + 6y + 3z)
Total investment = 3( 12800 + 30x + 20y + 10z)
= 3 * 2(( 6400 + 15x + 10y + 5z))
= 2 * 3( 6400 + 15x + 10y + 5z)
= 2 * investment of B
Investment of B = Total investment / 2
=> Profit of B = Total Profit /2
=> Profit of B = 125000/2 = 62500
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