
Find the value of $\dfrac{5}{8}$% of 600 m.
Answer
571.2k+ views
Hint: We will understand this question step by step with an example. Suppose we need to find the value of P% of x.
Step 1) Convert the problem into an equation- P% $ \times$ $x$.
Step2) Replace P% by removing a % sign and dividing P by 100- $\dfrac{P}{{100}}$ in the above equation- $\dfrac{P}{{100}}$$ \times $$x$.
Step 3) Solve this equation, you will get the value of P% of x.
Complete step-by-step answer:
Given,
Step 1) $\dfrac{5}{8}$% $ \times$ 600
Step 2) $\dfrac{5}{8}$$ \times \dfrac{1}{{100}} \times 600$
Step 3) $\dfrac{{15}}{4}$= 3.75 m(Ans.)
Hence, the value of $\dfrac{5}{8}$% of 600 m is 3.75 m.
Note: A percentage is a number or ratio can be expressed as a fraction of 100. It means percent is a part of 100. It is represented by a symbol ‘%’. Percentage can be represented in decimal or fraction form, such as 0.6%, 0.25%, etc. In school when we obtain a mark in any subject then it is calculated in terms of percentage. There is a very simple way to find the percentage. To determine the percentage, we have to divide the value by the total value and then multiply the resultant to 100. Here is the formula of percentage - $\dfrac{{value}}{{total}} \times 100$. Let’s see an example, $\dfrac{5}{{10}} \times 100$= 50%. You can see this is an easy concept. We use percentage in our daily life. We express so many things in terms of percentage like marks obtained, growth of a company, profit, loss and so many other things.
Step 1) Convert the problem into an equation- P% $ \times$ $x$.
Step2) Replace P% by removing a % sign and dividing P by 100- $\dfrac{P}{{100}}$ in the above equation- $\dfrac{P}{{100}}$$ \times $$x$.
Step 3) Solve this equation, you will get the value of P% of x.
Complete step-by-step answer:
Given,
Step 1) $\dfrac{5}{8}$% $ \times$ 600
Step 2) $\dfrac{5}{8}$$ \times \dfrac{1}{{100}} \times 600$
Step 3) $\dfrac{{15}}{4}$= 3.75 m(Ans.)
Hence, the value of $\dfrac{5}{8}$% of 600 m is 3.75 m.
Note: A percentage is a number or ratio can be expressed as a fraction of 100. It means percent is a part of 100. It is represented by a symbol ‘%’. Percentage can be represented in decimal or fraction form, such as 0.6%, 0.25%, etc. In school when we obtain a mark in any subject then it is calculated in terms of percentage. There is a very simple way to find the percentage. To determine the percentage, we have to divide the value by the total value and then multiply the resultant to 100. Here is the formula of percentage - $\dfrac{{value}}{{total}} \times 100$. Let’s see an example, $\dfrac{5}{{10}} \times 100$= 50%. You can see this is an easy concept. We use percentage in our daily life. We express so many things in terms of percentage like marks obtained, growth of a company, profit, loss and so many other things.
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