Question

Find the following:
(a) 70% of Rs. 500.
(b) 0.25% of 96
(c) 12% of 800
(d) $6\dfrac{2}{3}\%$ of 87.

Answer 1

Hint: Solve the subparts one by one. For solving the first subpart, i.e., find 70% of Rs. 500, divide 70 by 100 and multiply the result by 500. The result you get is the answer. Do the same with the other subparts as well. Do not forget to change the data as given for each of the given subparts.

Complete step-by-step answer:
Let us start the solution to the above question by solving the first subpart. For solving the first subpart, i.e., find 70% of Rs. 500, divide 70 by 100 and multiply the result by 500.
$\therefore \text{70 }\!\!\%\!\!\text{ of Rs}\text{. 500}=\dfrac{70}{100}\times 500=\text{Rs}\text{. }350$
So, the answer to the first subpart is Rs. 350.

Now let us move to the second subpart. Here we are asked to find 0.25% of 96. So, we will divide 0.25 by 100 and multiply the result by 96.
$\therefore 0.25\text{ }\!\!\%\!\!\text{ of 96}=\dfrac{0.25}{100}\times 96=0.24$
Therefore, the answer to the second subpart is 0.24.
The next subpart is to find 12% of 800. We will use the same method, i.e., divide 12 by 100 and multiply the result by 800.
$\therefore 12\text{ }\!\!\%\!\!\text{ of 800}=\dfrac{12}{100}\times 800=96$
Now let us move to the next subpart, i.e., $6\dfrac{2}{3}\%$ of 87. First we will convert the mixed form of fraction to proper fraction. On doing so, we get $6\dfrac{2}{3}=\dfrac{6\times 3+2}{3}=\dfrac{20}{3}$ .
\[6\dfrac{2}{3}\%\text{ }~\text{of }87=\dfrac{6\dfrac{2}{3}}{100}\times 87=\dfrac{\dfrac{20}{3}}{100}\times 87=\dfrac{29}{5}=5.8\]
Hence, the answer to subpart (d) is 5.8.

Note:If you face a problem in interpreting the percentage related problems, you can remember a small trick, to convert the statement $x\%\text{ of y units}$ , replace the % sign $\dfrac{1}{100}$ , ‘of’ by a multiplication sign and the unit of you answer is ‘units’. So, the mathematical representation is \[\left( \dfrac{x}{100}\times y \right)units\] .