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What is the value of 35% of 240?

Answer
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Hint: To find the value of 35% of 240, we have to express this in mathematical form by changing the ‘of’ into a multiplication sign. Then we have to convert 35% into numbers and simplify by cancelling the common factors.

Complete step by step solution:
We have to find the value of 35% of 240. Let us denote it in mathematical form.
35%×240
Let us convert 35% into numbers. We have to divide 35 by 100.
35100×240
Now, we have to simplify this. Let us cancel 0 from the denominator and 240.
3510\cancel0×24\cancel0
The result of above simplification is
3510×24
We can further cancel the common factor in the numerator (35) and denominator. Let us cancel the common factor 5.
\cancel357\cancel102×24=72×24
Let us cancel the common factor 2 from 24 and the denominator.
7\cancel2×\cancel2412=7×12
Let us multiply 7 and 12.
7×12=84
Hence, 35% of 240 is 84.

Note: Students must know that ‘of’ these types of problems means multiplication. They must also know how a percentage is converted into its number. They must divide the percentage number by 100 to convert it into its number form. Similarly, to convert a number into percentage, we have to multiply the number by 100. Students must simplify the expressions by first cancelling the common terms and factors. We can also simplify 35100×240 in an alternate method.
Instead of cancelling the common terms, let us divide 35 by 100.
0.35×240
Now, we have to multiply 0.35 with 240. This procedure will be time consuming.
0.35×240=84


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