Divide 500 into two parts such that the ratio of one to the other are in 5 : 3?
312.5, 187.5
Ratio Calculation: Divide 500
The problem requires dividing the number 500 into two parts that are in the ratio 5:3.
Understanding the Ratio
- The ratio 5:3 indicates that for every 5 units of the first part, there are 3 units of the second part.
- The total number of parts in the ratio is the sum of the individual ratio components: $5 + 3 = 8$ parts.
Calculating the Parts
To find the value of each part, we first determine the value of one ratio unit.
- Total sum = 500
- Total ratio parts = 8
- Value of one ratio part = $\frac{\text{Total sum}}{\text{Total ratio parts}} = \frac{500}{8} = 62.5$
Now, calculate the value of each of the two parts:
- First part (corresponding to ratio 5): $5 \times 62.5 = 312.5$
- Second part (corresponding to ratio 3): $3 \times 62.5 = 187.5$
Verification
Check if the calculated parts satisfy the conditions:
- Sum check: $312.5 + 187.5 = 500$. The sum is correct.
- Ratio check: $\frac{312.5}{187.5} = \frac{3125}{1875} = \frac{5}{3}$. The ratio is correct.
Therefore, the two parts are 312.5 and 187.5.
Important Questions from Simple Ratios
The ratio of two numbers is 9 : 5. If 8 is added to the larger number and 4 is subtracted from the smaller number, the greater number becomes twice the smaller number. The larger number is:
The ratio of the number of men and women in a company is 5 : 4. If the number of men and women increase by 16% and 15%, respectively, then what will be the new ratio of men and women ?
The monthly salaries of an officer and a clerk are in the ratio 11 : 4. If the monthly salary of the officer increases by ₹7,000 and that of the clerk by ₹3,000, then the ratio becomes 19 : 7. What was the initial salary (in ₹) of the officer?
If X : Y = 7 : 5 and Y : Z = 7 : 11, then what is the ratio of X : Y : Z?
If (x + y) : (x - y) = 3 : 2, then (x 2 + y 2) : (x 2 - y 2) is in the ratio of:
