Find the ratio of 25 paise to Rs. 2.
(a) 9:8
(b) 3:8
(c) 8:1
(d) 1:8
Answer
658.8k+ views
Hint: Start by converting both the elements given in the question to the same unit, preferably paise. Then find the required ratio using the elements in the converted unit and report the answer. For conversion to paise you can use the fact that Rs. 1 is equal to 100 paise.
Complete step-by-step solution -
Let us first know what a ratio is.
A ratio in basic words is a quantity used to define a comparison between two quantities. A bit toward the advanced side, it is the quantity that defines how many times of one quantity is that of others.
At our level, apart from the definition, we will treat it as a simple fraction that defines a relation between two given quantities.
Now, starting with the solution to the above question, first moving to the conversion of Rs. 2 to paise.
We know that Rs. 1 is equal to 100 paise. Then we can say that Rs. 2 is equal to $100\times 2=\text{Rs}\text{. }200$
We will now try to find the ratio of 25 paise to Rs 2.
$\therefore ratio=\dfrac{25}{200}=\dfrac{1}{8}$
The above ratio can also be written as 1:8.
So, the ratio of 25 paise to Rs. 2 is 1:8, i.e., the correct answer is option (d) 1:8
Note: Read the question carefully as in the question, including ratio, there is always a chance that the question might have a twist hidden in the words of the question. Also, it is preferred to convert the quantities to the smaller unit of the two units as this ensures that none of the numbers are in decimal form, simplifying the calculations. Also, be careful about the order of ratio asked, as if the question would have been to find the ratio of Rs. 2 to 25 paise, the answer would have been option (c).
Complete step-by-step solution -
Let us first know what a ratio is.
A ratio in basic words is a quantity used to define a comparison between two quantities. A bit toward the advanced side, it is the quantity that defines how many times of one quantity is that of others.
At our level, apart from the definition, we will treat it as a simple fraction that defines a relation between two given quantities.
Now, starting with the solution to the above question, first moving to the conversion of Rs. 2 to paise.
We know that Rs. 1 is equal to 100 paise. Then we can say that Rs. 2 is equal to $100\times 2=\text{Rs}\text{. }200$
We will now try to find the ratio of 25 paise to Rs 2.
$\therefore ratio=\dfrac{25}{200}=\dfrac{1}{8}$
The above ratio can also be written as 1:8.
So, the ratio of 25 paise to Rs. 2 is 1:8, i.e., the correct answer is option (d) 1:8
Note: Read the question carefully as in the question, including ratio, there is always a chance that the question might have a twist hidden in the words of the question. Also, it is preferred to convert the quantities to the smaller unit of the two units as this ensures that none of the numbers are in decimal form, simplifying the calculations. Also, be careful about the order of ratio asked, as if the question would have been to find the ratio of Rs. 2 to 25 paise, the answer would have been option (c).
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