Question

a number is first increased by 20% and reduced by 15% the final value is 2040 find the inital value​

Answer 1

Step-by-step explanation:

let the number is 100

increase 20%=100+20=120

decrease of 20% on 120

=(20/100)×120=24

nett amount 120–24=96

So decrease 100–96=4

decrease of 4 out of 100

percentage of decrease 4%

Answer 2

Answer:

1200

Step-by-step explanation:

let the number be x

firstly it is increased by 20 %

now the numerical value is x + 20% of x

which is x + 20 x

100

x + 1 x @ 1

5

secondly it is reduced by 15 %

now the numerical value is x - 15% of x

which is x - 15 x

100

x - 3 x @ 2

20

FROM 1 AND 2

(x + 1/5 x) + (x - 3/20 x) = 2040

6x/5 + 17x/20 = 2040

taking 20 as LCM

24x + 17x = 2040

20

34 x = 40800

x = 40800

34

x = 1200