Divide 2560 into three parts A, B and C where B gots 250 more than C and A gets 500 more than B. Find the amount A. B and C got, respectively.
Answers
Answer:
The shares are -
- A = 1270
- B = 770
- C = 520
Step-by-step explanation:
Given :
Total = Rs. 2560
B gets = 250 more than C
A gets = 500 more than B
To find :
Amount with A,B and C
Solution :
Let The shares be -
- C as y
- B as (y + 250)
- A as (y + 250) + 500
y + (y + 250) (y + 250) + 500 = 2560
3y + 1000 = 2560
3y = 2560 - 1000
3y = 1560
y = 1560/3
y = 520
C's share = 520
★ B's share -
520 + 250
770
★ A's share -
520 + 250 + 500
770 + 500
1270
The shares are -
- A = 1270
- B = 770
- C = 520
Question :--- Divide 2560 into three parts A, B and C where B gots 250 more than C and A gets 500 more than B. Find the amount A. B and C got, respectively. ?
Solution :---
Let amount of Rs. C got = Rs. X .
it is given that now, B got 250 more than C .
→ So, amount B got = Rs. (x + 250)
now, it is said that , A got 500 more than B .
→ So, amount A got = Rs.(x+250) + 500 = Rs.(x+750) .
It is given that , total amount is Rs.2560 .
Putting all values Equal to 2560 now, we get,
→ x + (x+250) + (x+750) = 2560
→ 3x + 1000 = 2560
→ 3x = 2560 - 1000
→ 3x = 1560
Dividing both sides by 3 now,
→ x = 520 .
_____________________________
Now, putting all values we get,
So, C got = x = Rs.520 (Ans).
→ B got = (x+250) = (520+250) = Rs.770
→ A got = (x+750) = (520+750) = Rs. 1270 .