Divide rupees 1400into three parts such that the first part is2/3of th...
Given:
- Total amount = Rs. 1400
- First part = 2/3 of the second part
- Ratio between the second and third part = 4:5
To find:
- The value of each part
Solution:
Let's assume that the second part is represented by 'x'.
According to the given condition, the first part would be 2/3 of 'x', which can be expressed as (2/3)x.
Now, the ratio between the second and third part is given as 4:5, which means the second part is divided into 4 equal parts and the third part is divided into 5 equal parts.
Step 1: Calculate the value of 'x'
To calculate the value of 'x', we need to determine the ratio factor, which is the sum of the parts in the ratio. In this case, the ratio factor is 4+5 = 9.
To find the value of 'x', divide the total amount by the ratio factor:
x = (Total amount)/(Ratio factor) = 1400/9 = 155.56 (approximately)
So, the value of 'x' is approximately Rs. 155.56.
Step 2: Calculate the value of the first part
The first part is 2/3 of 'x', so we multiply 'x' by 2/3:
First part = (2/3) * x = (2/3) * 155.56 = 103.70 (approximately)
So, the value of the first part is approximately Rs. 103.70.
Step 3: Calculate the value of the second part
The second part is represented by 'x', which we calculated in Step 1:
Second part = x = 155.56 (approximately)
So, the value of the second part is approximately Rs. 155.56.
Step 4: Calculate the value of the third part
To find the value of the third part, we multiply the second part by the ratio between the second and third part (4:5):
Third part = (5/4) * Second part = (5/4) * 155.56 = 194.45 (approximately)
So, the value of the third part is approximately Rs. 194.45.
Summary:
- The value of the first part is approximately Rs. 103.70.
- The value of the second part is approximately Rs. 155.56.
- The value of the third part is approximately Rs. 194.45.
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