A sum of 3700 is divided among A, B and C such that B`s share is thrice of A`s share and C`s share is 200 more than B`s share. Find the share of A.
I want full method
Answers
Answer:
The share of A is Rs. 500.
Step-by-step-explanation:
We have given that,
A sum of 3700 is divided among A, B and C.
∴ Sum of shares of A, B and C = 3700
⇒ A + B + C = 3700
⇒ A = 3700 - B - C - - - ( 1 )
From the first condition,
B's share = 3 * A's share
⇒ B = 3A
⇒ B = 3 * ( 3700 - B - C )
⇒ B = 11100 - 3B - 3C
⇒ B + 3B = 11100 - 3C
⇒ 4B = 11100 - 3C - - - ( 2 )
From the second condition,
C's share = B'share + 200
⇒ C = B + 200
By using this value in equation ( 2 ), we get,
4B = 11100 - 3C - - - ( 2 )
⇒ 4B = 11100 - 3 ( B + 200 )
⇒ 4B = 11100 - 3B - 600
⇒ 4B + 3B = 11100 - 600
⇒ 7B = 10500
⇒ B = 10500 ÷ 7
⇒ B = 1500
⇒ B's share = 1500 Rs.
Now, by using this value in equation ( 1 ),
A = 3700 - B - C - - - ( 1 )
⇒ A = 3700 - 1500 - ( B + 200 )
⇒ A = 3700 - 1500 - ( 1500 + 200 )
⇒ A = 2200 - 1700
⇒ A = 500
⇒ A's share = 500 Rs.
∴ The share of A is Rs. 500.
Answer:
Step-by-step explanation:
given :
- divided among A, B and C = 3700
- A`s share and C`s share is = 200
to find :
- share of A = ?
- share of A = ?
solution :
- please check the attached file
learn more :
- in these we have find A, B,c
- add with and 3 and
- 200
- then we add so answer will divide
- with so your answer come