Question

60% of 264 is the same as-
(a) 10% of 44
(b) 15% of 1056
(c) 30% of 132
(d) 17% of 544

Answer 1

Hint: We start solving the problem by finding the value of 60% of 264 using the fact that a% of b is defined as $\dfrac{a}{100}\times b$. We then use the fact a% of b is defined as $\dfrac{a}{100}\times b$ again to find the values for each of the given options. We then compare the obtained values to get the required answer.

Complete step by step answer:
According to the problem, we are asked to find the equivalent of 60% of 264 from the options.
Let us first find the value of 60% of 264.
We know that a% of b is defined as $\dfrac{a}{100}\times b$.
So, we get 60% of 264 = \[\dfrac{60}{100}\times 264\].
$\Rightarrow $ 60% of 264 = \[0.6\times 264\].
$\Rightarrow $ 60% of 264 = \[158.4\] ---(1).
Now, let us check option (a).
We have to find the value of 10% of 44.
So, we get 10% of 44 = \[\dfrac{10}{100}\times 44\].
$\Rightarrow $ 10% of 44 = \[0.1\times 44\].
$\Rightarrow $ 10% of 44 = \[4.4\] ---(2).
We can see that equation (2) is not equal to equation (1) so, option (a) is wrong.
Now, let us check option (b).
We have to find the value of 15% of 1056.
So, we get 15% of 1056 = \[\dfrac{15}{100}\times 1056\].
$\Rightarrow $ 15% of 1056 = \[0.15\times 1056\].
$\Rightarrow $ 15% of 1056 = \[158.4\] ---(3).
We can see that equation (3) is equal to equation (1) so, option (b) is correct.
Now, let us check option (c).
We have to find the value of 30% of 132.
So, we get 30% of 132 = \[\dfrac{30}{100}\times 132\].
$\Rightarrow $ 30% of 132 = \[0.3\times 132\].
$\Rightarrow $ 30% of 132 = \[39.6\] ---(4).
We can see that equation (4) is not equal to equation (1) so, option (c) is wrong.
Now, let us check option (a).
We have to find the value of 17% of 544.
So, we get 17% of 544 = \[\dfrac{17}{100}\times 544\].
$\Rightarrow $ 17% of 544 = \[0.17\times 544\].
$\Rightarrow $ 17% of 544 = \[92.48\] ---(5).
We can see that equation (5) is not equal to equation (1) so, option (d) is wrong.

So, the correct answer is “Option b”.

Note: We should not confuse a% of b with $a\times b$ instead of $\dfrac{a}{100}\times b$. We should perform each step carefully to avoid confusion and calculations. We can also convert the obtained answer \[158.4\] into the required options by making the necessary arrangements which may involve complex calculations. Similarly, we can expect problems to find the value of 5% of 264.