a) ₹ 60
b) ₹ 50
c) ₹ 40
d) ₹ 30
Correct answer is: a) ₹ 60
Explanation
Here,
The ratio of two quantities is 3\;:\;12.
And the antecedent be ₹ 15.
Let, the consequent be ₹ ‘x’.
According to the question,
3\;:\;12\;=\;15\;:\;x
\rightarrow\large\frac{3}{12}\normalsize=\large\frac{15}{x}
\rightarrow 3x=\left(15\times12\right) [cross multiply]
\rightarrow x=\large\frac{\left(15\times12\right)}{3}
\rightarrow x=60
So that, the consequent is ₹ 60.
Ans: The consequent is ₹ 60.
This particular question can also be formulated in the following manner:
- If the ratio of two quantities is 3 : 12, and the antecedent is ₹ 15, determine the consequent.
- With a ratio of 3 : 12 for two quantities, if the first quantity is ₹ 15, what is the value of the second quantity?
- If the ratio between two quantities is 3 : 12, and the first quantity is ₹ 15, what is the amount of the second quantity?