A symbol $\phi$ is used to represent $10$ flowers. Number of symbols to be drawn to show $60$ flowers is:
A. $6$
B. $12$
C. $10$
D. $15$
Answer
634.2k+ views
Hint:
If $10$ flowers are represented by symbol $\phi$
Then 1 flower will be represented by $\dfrac{\phi}{10}$
So for $x$ flowers it will be represented by which means $\dfrac{x}{{10}}{\text{ of }}\phi $
Complete step by step solution:
In this question we are given the symbol which is used to represent the number of flowers and we need to find the number of such symbols we need to use to find the given number of the flowers’ representation.
Here we are given that it is used to represent $10$ flowers which means that if we use such one symbol then that is equivalent to $10$ flowers and we need to find the number of such symbols we need for representing $60$ flowers. So we need to use the simple unitary method in order to solve such a problem. For example if we have $10$ flowers whose cost is ${\text{Rs 60}}$ so one flower cost can be easily found by just using the unitary method which is just dividing the $60{\text{ by 10}}$. And now we can calculate the cost of any number of flowers by multiplying that number with this value as we know the cost of one flower now.
So now if we see the question we have the symbol given used to represent $10$ flowers
One flower will be represented by flowers and $60$ flowers will be represented by symbols
So we can say that $6$ such symbols are used for this representation.
option A is the correct one.
Note:
Note: As we know that $1{\text{Rs = 100 paise}}$
So ${\text{1 paise = Rs }}\dfrac{1}{{100}}$
So ${\text{x paise = Rs }}\dfrac{x}{{100}}$
If $10$ flowers are represented by symbol $\phi$
Then 1 flower will be represented by $\dfrac{\phi}{10}$
So for $x$ flowers it will be represented by which means $\dfrac{x}{{10}}{\text{ of }}\phi $
Complete step by step solution:
In this question we are given the symbol which is used to represent the number of flowers and we need to find the number of such symbols we need to use to find the given number of the flowers’ representation.
Here we are given that it is used to represent $10$ flowers which means that if we use such one symbol then that is equivalent to $10$ flowers and we need to find the number of such symbols we need for representing $60$ flowers. So we need to use the simple unitary method in order to solve such a problem. For example if we have $10$ flowers whose cost is ${\text{Rs 60}}$ so one flower cost can be easily found by just using the unitary method which is just dividing the $60{\text{ by 10}}$. And now we can calculate the cost of any number of flowers by multiplying that number with this value as we know the cost of one flower now.
So now if we see the question we have the symbol given used to represent $10$ flowers
One flower will be represented by flowers and $60$ flowers will be represented by symbols
So we can say that $6$ such symbols are used for this representation.
option A is the correct one.
Note:
Note: As we know that $1{\text{Rs = 100 paise}}$
So ${\text{1 paise = Rs }}\dfrac{1}{{100}}$
So ${\text{x paise = Rs }}\dfrac{x}{{100}}$
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