1) A,B,C started a joint business with the capitals Rs 5k, Rs 6k and Rs 7k. After 3 months when B invests Rs 1k more the C withdraws Rs 1k from the capital. At the end of the years if the total profit is Rs 3600, then how much each of them will get from the profit ?
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We have three people namely A , B and C, Also these three people started a joint business with the capitals Rs 5k , Rs 6k and Rs 7k.
But, After three months,
- B invests Rs 1k more.
- C withdraws Rs 1k from his capital.
It is given that the profit for the whole year is Rs 3600. But their capitals changed after 3 months, So let's find the distribution of profit among A , B and C in the first three months.
Profit for the whole year = Rs. 3600
∴ For 1 month, Profit = Rs. 300
Hence, In the first three months,
- Profit = Rs. 900
Now, The ratio of their capitals is 5 : 6 : 7 as A : B : C
Now,
A will get,
⇒ 5/18 × 900
⇒ 5/2 × 100
⇒ Rs. 250
B will get,
⇒ 6/18 × 900
⇒ 6 / 2 × 100
⇒ Rs. 300
and, C will get,
⇒ 7/18 × 900
⇒ 7/2 × 100
⇒ Rs. 350
Now, For the rest of the year (i.e., 9 months)
We have, Profit = Rs. 2700
Now, Let's find the distribution but we should know that the ratio of their capitals is now 5 : 7 : 6 as A : B : C as we have seen earlier.
So, A will get,
⇒ 5/18 × 2700
⇒ 5/2 × 300
⇒ Rs. 750
B will get,
⇒ 7/18 × 2700
⇒ 7/2 × 300
⇒ Rs. 1050
and, C will get,
⇒ 6/18 × 2700
⇒ 6/2 × 300
⇒ Rs. 900
So, After the year, We have the distribution of profit among A, B and C as,
- A = 250 + 750 = Rs. 1000
- B = 300 + 1050 = Rs. 1350
- C = 350 + 900 = Rs. 1250
Step-by-step explanation:
ANSWER ✍️
We have three people namely A , B and C, Also these three people started a joint business with the capitals Rs 5k , Rs 6k and Rs 7k.
But, After three months,
B invests Rs 1k more.
C withdraws Rs 1k from his capital.
It is given that the profit for the whole year is Rs 3600. But their capitals changed after 3 months, So let's find the distribution of profit among A , B and C in the first three months.
Profit for the whole year = Rs. 3600
∴ For 1 month, Profit = Rs. 300
Hence, In the first three months,
Profit = Rs. 900
Now, The ratio of their capitals is 5 : 6 : 7 as A : B : C
Now,
A will get,
⇒ 5/18 × 900
⇒ 5/2 × 100
⇒ Rs. 250
B will get,
⇒ 6/18 × 900
⇒ 6 / 2 × 100
⇒ Rs. 300
and, C will get,
⇒ 7/18 × 900
⇒ 7/2 × 100
⇒ Rs. 350
Now, For the rest of the year (i.e., 9 months)
We have, Profit = Rs. 2700
Now, Let's find the distribution but we should know that the ratio of their capitals is now 5 : 7 : 6 as A : B : C as we have seen earlier.
So, A will get,
⇒ 5/18 × 2700
⇒ 5/2 × 300
⇒ Rs. 750
B will get,
⇒ 7/18 × 2700
⇒ 7/2 × 300
⇒ Rs. 1050
and, C will get,
⇒ 6/18 × 2700
⇒ 6/2 × 300
⇒ Rs. 900
So, After the year, We have the distribution of profit among A, B and C as,
A = 250 + 750 = Rs. 1000
B = 300 + 1050 = Rs. 1350
C = 350 + 900 = Rs. 1250