Question

Solve;

i) X+10%of X =22
ii)x+20%of X=rs60
iii)X+25%ofx=rs120
iv)X=rs200+50%of X
v)X=180+10%of x​
question from equation and inequality.​

Answer 1

`i.\ x = 20`

`ii.\ x = rs50`

`iii.\ x = rs96`

`iv.\ x =rs400`

`v.`
`x = 200`

Step-by-step explanation:

`i.\ x + 10\%\ of\ x = 22`

`x + 10\%\ of\ x = 22`

Represent of as *

`x + 10\%\ * x = 22`

Convert % to decimal

`x + 0.10\ * x = 22`

`x + 0.10x = 22`

`1.10x = 22`

Solve for x

`x = (22)/(1.10)`

`x = 20`

`ii.\ x+20\%\ of\ x=rs60`

`x+20\%\ of\ x=rs60`

Represent of as *

`x+20\%* x=rs60`

Convert % to decimal

`x+0.20* x=rs60`

`x+0.20x=rs60`

`1.20x=rs60`

Solve for x

`x = (rs60)/(1.20)`

`x = rs50`

Apply the same steps in (i) & (ii) to the following

`iii.\ x+25\%\ of\ x=rs120`

`x+25\%\ of\ x=rs120`

`x+25\%* x=rs120`

`x+0.25* x=rs120`

`x+0.25x=rs120`

`1.25x=rs120`

`x = (rs120)/(1.25)`

`x = rs96`

`iv.\ x=rs200 + 50\%\ of\ x`

`x=rs200 + 50\%\ of\ x`

`x=rs200 + 50\%* x`

`x=rs200 + 0.50*x`

`x=rs200 + 0.50x`

`x - 0.50x = rs200`

`0.50x = rs200`

`x = (rs200)/(0.50)`

`x =rs400`

`v.\ x=180 + 10\%\ of\ x`

`x=180 + 10\%\ of\ x`

`x=180 + 10\%*x`

`x=180 + 0.10*x`

`x=180 + 0.10x`

`x-0.10x=180`

`0.90x=180`

`x = (180)/(0.9)`

`x = 200`