Question

if 80%of 40%of a number is 160 then it is​

Answer 1

Step-by-step explanation:

Please see the attachment file that is followed

Answer 2

Let the number be x, whose 80% of 40% is 160.

Well, 40% of the number x can be taken as 40x / 100 = 2x / 5. 80% of this 2x / 5 is 160.

[Note : On finding 80% of x and then 40% of the resultant, the value doesn't change, since both 80% of 40% and 40% of 80% are same.]

So,

80 (2x / 5) / 100 = 160

4 (2x / 5) / 5 = 160

8x / 25 = 160

x = 160 × 25 / 8

x = 500

Hence 500 is the number. Let's check whether it's true.

40% of 500 = 200 and 80% of 200 = 160

What about 40% of 80% of 500?

80% of 500 = 400 and 40% of 400 = 160

Hence it's true!

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#BAL