Question

A number when 35 subtracted from it reduced to eat 80% what is the four fifth of that number

Answer 1

let number be x
subtracting 35 =x-35
reduced 80%
80%x
80x/100
8x/10
4x/5
x-35 =4x/5
x-4x/5 =35
5x-4x/5 =35
x/5=35
x=5*35
x=175
x=175
4/5 ×175
4×35
140 is answer obtained

Answer 2

Let the no. be x
x - 35 = 80% of x
x - 35 = (80 * x)/100
x - 35 = 4x/5
5(x - 35) = 4x
5x - 175 = 4x
x = 175

(4x/5) = (175*4)/5 = 140

so 4/5th of no. = 140

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Quick way:

4/5 of no.= (4/5)*100
=80%

subtracting 35 lead to 20 % decrease ( i.e., 80% of no)
20% = 35 ------(1)

do (1)*4 to get 80% of no.
•°• 20% *4= 35 * 4
=> 80% = 140
so 4/5th of no. = 140

Hope it helps
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