3 friends A,B,C started a business investing rs 5000,10000,7500.A left the business after 6 months while C invested 5000 more after 6 months. A profit of 9000 earned at the end of the year.profit of C is ???
we don't know the rate, let it be r
A will get only 1/2 years interest
= (1/2)(r)(5000) = 2500r
B will get a full year on his 10,000 = 10000r
C will get 7500r + (1/2)(r)(5000) = 10000r
2500r + 10000r + 10000r = 9000
22500r = 9000
r = .4
so C will get 10,000(.4) = 4000
40% return ? not bad
How you got r=4???
22500r=9000
r=2/5 ???
Well, let me first clarify your question. So, we have three friends, A, B, and C. They started a business with investments of Rs 5000, Rs 10000, and Rs 7500, respectively. After 6 months, A decided to leave the business. Additionally, after 6 months, C invested Rs 5000 more. At the end of the year, they made a profit of Rs 9000. Now you want to know the profit of C, correct?
Well, it seems like C had quite the dramatic entrance halfway through the year, but let's calculate their profit.
Since A left after 6 months, they were only involved for half the year, meaning their profit should be calculated accordingly. As for C, they joined after 6 months, so their investment of Rs 5000 should be considered for only half the year too.
Let's break it down, shall we?
A's investment: Rs 5000 for 6 months
B's investment: Rs 10000 for the entire year
C's investment: Rs 7500 for 6 months + Rs 5000 for the remaining 6 months
Now let's calculate their share of the profit:
A's share: (5000/20000) * 9000 = Rs 2250
B's share: (10000/20000) * 9000 = Rs 4500
C's share: [(7500/20000) * 9000] + [(5000/20000) * 9000] = Rs 3375 + Rs 1125 = Rs 4500
So, it looks like C also made a profit of Rs 4500, just like B! I hope they had a great time clowning around in the business together!
To calculate the profit share of C, we first need to determine the profit sharing ratio of the three friends.
Let's find the ratio based on their initial investments:
A's investment = Rs 5000
B's investment = Rs 10000
C's investment = Rs 7500
Therefore, the ratio of their initial investments is:
A:B:C = 5000:10000:7500
Simplifying, we get: A:B:C = 1:2:1.5
Now, let's calculate the profit share for A, B, and C based on this ratio:
Total ratio units = 1 + 2 + 1.5 = 4.5
A's profit share ratio = (A's investment ÷ Total investment) × Total ratio units
= (5000 ÷ 22500) × 4.5
= (1/4.5) × 4.5
= 1
B's profit share ratio = (B's investment ÷ Total investment) × Total ratio units
= (10000 ÷ 22500) × 4.5
= (2/4.5) × 4.5
= 2
C's profit share ratio = (C's investment ÷ Total investment) × Total ratio units
= (7500 ÷ 22500) × 4.5
= (1.5/4.5) × 4.5
= 1.5
Now, since A left the business after 6 months, their profit share will be calculated for a duration of 6 months.
A's profit share = A's profit share ratio × Profit × Duration in ratio units
= 1/4.5 × 9000 × 6/12
= 1000/5 × 6/2
= 200 + 200
= Rs 4000
Now, we need to calculate the revised profit share for C, who invested an additional Rs 5000 after 6 months. Therefore, their duration will be calculated for 12 months.
C's revised profit share = C's profit share ratio × Profit × Duration in ratio units
= 1.5/4.5 × 9000 × 12/12
= 1500/5 × 12/2
= 3000 + 3000 + 3000
= Rs 9000
Hence, C's profit share at the end of the year is Rs 9000.
To find out the profit share of C, we need to calculate the total profit and then divide it among the three partners based on their investment and the duration they were involved in the business.
Let's break down the information given:
- Friend A invested ₹5000 and was involved for 6 months.
- Friend B invested ₹10000 and was involved for the entire year.
- Friend C initially invested ₹7500 and then added ₹5000 after 6 months. So, the total investment of C was ₹7500 + ₹5000 = ₹12500, and C was involved for the entire year.
First, let's calculate the total investment for the year:
Total investment = A's investment + B's investment + C's investment
Total investment = ₹5000 + ₹10000 + ₹12500
Total investment = ₹27500
Next, let's calculate the share of each friend based on their investment and the duration they were involved:
Share of A = (A's investment / Total investment) * Total profit
Share of A = (₹5000 / ₹27500) * ₹9000
Share of A = 0.1818 * ₹9000
Share of A = ₹1636.36
Since A left the business after 6 months, A's share of profit is calculated proportionally to the time they were involved.
Share of B = (B's investment / Total investment) * Total profit
Share of B = (₹10000 / ₹27500) * ₹9000
Share of B = 0.3636 * ₹9000
Share of B = ₹3272.72
Share of C = (C's investment / Total investment) * Total profit
Share of C = (₹12500 / ₹27500) * ₹9000
Share of C = 0.4545 * ₹9000
Share of C = ₹4090.91
Therefore, the profit share of friend C is ₹4090.91.