Question

What percent is 15 paise of 2 rupees 70 paise?

Answer 1

Hint: Proceed the solution of this question first by conversion of total rupees in to paise and then apply the concept of percentage.

Complete step-by-step answer:
In the question, it is given that 2 rupees 70 paise
We know that, there are 100 paise in 1 rupees
So using unitary method
$\because $ 1 rupee = 100 paise
$\therefore $ 2 rupees = 200 paise
So total 2 rupees 70 paise = (2×100 paise +70 paise)
=200 paise + 70 paise
 =270 paise
As we know that, A percentage is a number or ratio that can be expressed as a fraction of 100, it means a part per hundred. The word percent means per 100. We also represent it by the symbol “%”. Percentages are dimensionless numbers. If it is asked 50% of a number, then it means 50 percent of its complete number.
To determine the percentage, we have to divide the numerator by denominator and then multiply the resultant to 100. In the above example, numerator will be 15 paise as it is asked What percent is 15 paise of 2 rupees 70 paise (or 270 paise)
In other words we can say, how much part of 270, 15 consist of. Here 270 will be treated as 100%.
Required Percentage = $\dfrac{{{\text{numerator}}}}{{{\text{denominator}}}} \times 100$
Required Percentage = $\dfrac{{15}}{{270}} \times 100$
Required Percentage = $\dfrac{{15}}{{27}} \times 10 = \dfrac{{150}}{{27}} = 5.55\% $

Note: To use this formula, Percentage = $\dfrac{{{\text{numerator}}}}{{{\text{denominator}}}} \times 100$ here, we should remember one thing that numerator and denominator should be of same unit.
For example, in the above question, we can also convert paise into rupees and by putting in this formula, we can get the required result.
Required Percentage = $\dfrac{{15}}{{270}} \times 100$
$\because $ 100 paise = 1 rupee
$\therefore $1 paise = 0.01 rupee
$\therefore $15 paise = 0.15 rupee (numerator)
Total 2 rupees 70 paise = (2×rupee+70×.01) = 2.7 rupee
Required Percentage = $\dfrac{{0.15}}{{2.7}} \times 100 = \dfrac{{15}}{{2.7}} = 5.55\% $