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) 20

ii) 50

iii) 96

iv) 400

v) 200

Explanation:

Given equations, for which we have to solve for the variable.

i)

`X+$10\% of X $=22\\\Rightarrow X + (10)/(100)X =22\\\Rightarrow (11)/(10)X=22\\\Rightarrow X = 20`

ii)

`x+$20\% of x = Rs.\ 60 $\\\Rightarrow x+(20)/(100)x =60\\\Rightarrow (6)/(5)x = 60\\\Rightarrow x = 50`

iii)

`x+$25\% of x = Rs. 120$\\\Rightarrow x + (25)/(100)x = 120\\\Rightarrow (5)/(4)x = 120\\\Rightarrow x = 96`

iv)

`X= $ Rs. 200+50\% of X$\\\Rightarrow (50)/(100)X = 200\\\Rightarrow X = 400`

v)

`X=180+$10\% of X$\\\Rightarrow X - (10)/(100)X = 180\\\Rightarrow (9)/(10)X = 180\\\Rightarrow X = 200`​