Question & Answer
QUESTION

Cost of toffee is 50 paise and the cost of chocolate is Rs.10, then the ratio of the cost of a toffee to the cost of a chocolate is _______.
A) 5:1
B) 1:20
C) 1:5
D) 20:1

ANSWER Verified Verified
Hint- Here, it is seen that the cost of toffee is given in paise and cost of chocolate is given in Rs. Both are in different units, so we cannot take the direct ratio. We have to convert one into the other then only we can take the ratio between two quantities.

Complete step-by-step answer:
According to question,
Cost of toffee is 50 paise and,
Cost of chocolate is Rs. 10.
We have to convert Rs. 10 into paise. We know $1Rs. = 100$ paise.
$\therefore 10Rs. = 10 \times 100$ paise
$ \Rightarrow 1000$ paise
Ratio of a cost of toffee to the cost of a chocolate $ = \dfrac{\text{50Paise}}{\text{1000Paise}}$
Ratio of a cost of toffee to the cost of a chocolate $ = \dfrac{1}{{20}}$$ \Rightarrow 1:20$
Hence, option (B) is the correct answer.

Note- Here we have to use unit conversion from Rs. to paise. For converting Rs to paise, we will use $1Rs. = 100$ paise. Ratio is the comparison between two same quantities. Here, comparison can be done when both are either in Rs. or both are in paise. Also, Ratio doesn’t vary with comparison in RS. or in paise but both should be in paise or in Rs.