✿ Three friends have started a business by investing ₹ 8,000, ₹ 10,000 & ₹ 12,000 respectively. They also took an amount as bank loan. At the end of one year, they made a profit of ₹ 13,400. After paying the annual bank installment of ₹ 5,000, they divided the remaining money of the profit among themselves in the ratio of their capitals. Calculate the profit share of each.
[Only correct ans will be marked as the brainliest].
[Only correct ans will be marked as the brainliest].
Answers & Comments
Answer:The first friend's profit share is ₹ 2,240.
The second friend's profit share is ₹ 2,800.
The third friend's profit share is ₹ 3,360.
Step-by-step explanation:
The total capital invested is ₹ 8,000 + ₹ 10,000 + ₹ 12,000 = ₹ 30,000.
After paying the bank installment, the remaining profit is ₹ 13,400 - ₹ 5,000 = ₹ 8,400.
The ratio of their capitals is 8:10:12, which can be simplified to 4:5:6.
Therefore, the profit share of each friend is:
First friend: ₹ 8,400 × 4/15 = ₹ 2,240
Second friend: ₹ 8,400 × 5/15 = ₹ 2,800
Third friend: ₹ 8,400 × 6/15 = ₹ 3,360
So the answer is:
The first friend's profit share is ₹ 2,240.
The second friend's profit share is ₹ 2,800.
The third friend's profit share is ₹ 3,360.
Verified answer
Three friends say A,B and C have started a business by investing ₹ 8,000 ,₹ 10,000 and ₹ 12,000 respectively. They also took an amount as bank loan
Therefore, remaining profit
=₹ 13,400 - 5,000
= ₹ 8,400
[tex]Ratio \: of \: partnership \\ \\ = 8,000 \times 12 : 10,000 \times \\ 12 : 12,000 \times 12 \\ \\ = 4 : 5 : 6[/tex]
[tex]Now, \: profit \: s hare \: of \: A \\ \\ = 8,400 \times \frac{4}{15} \\ \\ = \frac{33,600}{15} \\ \\ = ₹\:2,240[/tex]
[tex]Now, \: profit \: share \: of \: B \\ \\ = 8,400 \times \frac{5}{15} \\ \\ = \frac{42,000}{15} \\ \\ = ₹\:2,800[/tex]
[tex]Now, \: profit \: share \: of \: \: C \\ \\ = 8,400 \times \frac{6}{15} \\ \\ = \frac{50,400}{15} \\ \\ = ₹ \:3,360[/tex]