Direct Proportion Calculation
When two quantities, $x$ and $y$, are in direct proportion, it means that as one quantity increases, the other quantity increases by the same factor. This relationship can be written as:
$y = kx$
where $k$ is the constant of proportionality.
Step 1: Find the Constant of Proportionality ($k$)
We are given that $y = 92.5$ when $x = 37$. We use these values to find $k$.
- Substitute the given values into the direct proportion formula:
$92.5 = k \times 37$
- Solve for $k$:
$k = \frac{92.5}{37}$
$k = 2.5$
The constant of proportionality is $2.5$.
Step 2: Calculate the Value of $y$ when $x = 16$
Now, we use the constant $k = 2.5$ and the new value of $x = 16$ to find the corresponding value of $y$.
- Use the direct proportion formula again:
$y = kx$
- Substitute $k = 2.5$ and $x = 16$:
$y = 2.5 \times 16$
$y = 40$
Therefore, when $x = 16$, the value of $y$ is $40$. This matches Option C.
Similar Questions
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Important Questions from Direct or Indirect Proportion
If 3A = 4B = 5C, then A : B : C is equal to:
The monthly incomes of A and B are in the ration 3 : 5 and the ratio of their savings is 2 : 3 If the income of B is equal to three times the savings of A, then what is the ratio of the expenditures of A and B?
If an amount of Rs. 990 is divided among A, B and C in the ratio of 3 : 4 : 2, then B will get:
The ratio of boys and girls in a group is 7 : 6. If 4 more boys join the group and 3 girls leave the group, then the ratio of boys to girls becomes 4 : 3. What is the total number of boys and girls initially in the group?
The ratio of the number of boys to the number of girls in a school of 640 students, is 5 : 3. If 30 more girls are admitted in the school, then how many more boys should be admitted so that the ratio of boys to that of the girls, becomes 14 : 9.
