Question

The value of \[50\] coins of \[50{\text{ }}paise = Rs\_\_\_\_\_\]

Answer 1

Hint:We have to find the value of \[50\] coins of \[50\] paise into rupees . We solve this question using the concept of conversion of measurement of units of paise to rupees . We first calculate the total value of the \[50\] coins of \[50\] paise and then convert the total value of the \[50\] coins into rupees using the relation of the measurement of units of paise to rupees . Using the conversion of units we will get the total value of coins sin rupees.

Complete step by step answer:
Given: \[50\] coins of \[50\] paise
Now, we know that the relation of rupees and paise is given as :
\[1Rs = 100p\]
The relation can also be written as :
\[1p = \dfrac{1}{{100}}Rs\]
Now , the total value of \[50\] coins its given as :
\[\text{Value of 50 coins} = 50p\]
\[\Rightarrow \text{Value of 50 coins} = 50 \times 50p\]
\[\Rightarrow \text{The total value of 50 coins} = 2500p\]
Now , using the relation between paise and rupees the total value can be written as :
\[\text{The total value of 50 coins} = 2500 \times \dfrac{1}{{100}}Rs\]
\[\therefore \text{The total value of 50 coins} = 25Rs\]

Hence ,\[\text{the total value of 50 coins} = 25Rs\].


Note:While doing these types of questions in which we have to use the concept of unit of measurements , we have to take care of the units of conversion and their particular relation. Many times we mistakenly take the wrong relation or the wrong units . May sure that the units are placed at every point where needed; this helps to reduce the possible errors while solving the question . Using the system of units we can also change the units of a quantity of length into the units of quantity of volume. One cubic centimetre can also be stated as one thousandth of a litre.
\[1\,cc = \dfrac{1}{{1000}}L\]
A system of units can be changed into another system of units without affecting the actual value of the quantity . Some more conversions are stated below:
\[1\,km = 1000\,m\]
\[\Rightarrow 1\,km = 100000\,cm\]
\[\Rightarrow 1\,km = 1000000\,mm\]