Question

Cost of a toffee is $50paise$ and the cost of a chocolate is $Rs.10$. Find the ratio of the cost of a toffee to the cost of the chocolate.

Answer 1

Hint:To find the ratio of any two quantities, the units of both the quantities must be the same. Here we are asked to find the ratio of the cost of a toffee to the cost of the chocolate, but the unit of prices of both is different. Therefore, first we have to convert both the prices in the same unit and then find the required ratio.

Complete Step by step answer:
Here, we are given that the cost of a toffee is $50paise$and the cost of a chocolate is $Rs.10$.

First, we need to convert prices of both a toffee and a chocolate into the same unit. For this, we will convert Rupees into Paise.

We know that $Rs.1 = 100paise$
Therefore, $Rs.10 = 10 \times 100 = 1000paise$

Now, we will find the ratio of the cost of a toffee to the cost of the chocolate which is:
$\dfrac{{50paise}}{{Rs.10}} = \dfrac{{50paise}}{{1000paise}} = \dfrac{1}{{20}} = 1:20$

Thus, the ratio of the cost of a toffee to the cost of the chocolate which is $1:20$.

Note:In this problem, we have converted rupees into paise, which means we have converted the bigger unit into the smaller one. We can do this by converting smaller into bigger, but it may make the calculation complex as it involves decimal values which may cause error while calculating.

Thus, in this type of questions, converting a bigger unit into a smaller one can be preferred to reduce the chances of errors by making the calculation less complex.