An amount of Rs 735 was divided between A B C if each of them had rece...
If each of them have received 25rs less means overall they have recieved rs 75 less.
Then the total amount is 735 - 75 = rs 660
Now the ratio is 1:3:2 if 25 rs less is distributed to each . Let a have x amount , then b and c will have 3x and 2x rs with them .
Total money = x+3x+2x = 660
or, 6x = 660
or, x= 110 rs .
Money received by c was 2x = 2 (110) + 25 = 220 + 25 = Rs245.
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An amount of Rs 735 was divided between A B C if each of them had rece...
Given:
- Total amount = Rs 735
- Shares after deducting Rs 25 from each person's share: 1:3:2
To Find:
- The amount received by person C
Solution:
Let's assume the original shares of A, B, and C as x, y, and z respectively.
1. Formulating Equations:
We can form equations based on the given information.
- Equation 1: x + y + z = 735 (total amount)
- Equation 2: (x-25) : (y-25) : (z-25) = 1:3:2 (shares ratio after deducting Rs 25 from each share)
2. Solving Equations:
We can solve these equations to find the values of x, y, and z.
From Equation 2, we can express y and z in terms of x:
- y - 25 = 3(x - 25)
- z - 25 = 2(x - 25)
Expanding the equations:
- y - 25 = 3x - 75
- z - 25 = 2x - 50
Simplifying the equations:
- y = 3x - 50
- z = 2x - 25
Substituting the values of y and z in Equation 1:
x + (3x - 50) + (2x - 25) = 735
Simplifying the equation:
6x - 75 = 735
6x = 810
x = 810/6
x = 135
Substituting the value of x in Equation 1:
135 + y + z = 735
y + z = 735 - 135
y + z = 600
Using the values of y and z obtained earlier:
3x - 50 + 2x - 25 = 600
5x - 75 = 600
5x = 675
x = 675/5
x = 135
Now, we have the values of x and y. We can find the value of z using the equation:
z = 2x - 25
z = 2(135) - 25
z = 270 - 25
z = 245
3. Answer:
The original amount received by person C is Rs 245.
An amount of Rs 735 was divided between A B C if each of them had rece...
Why u have added 25 again In last step..