IDNLearn.com: Where curiosity meets clarity and questions find their answers. Get accurate and timely answers to your queries from our extensive network of experienced professionals.
Sagot :
Answer:
[tex]i.\ x = 20[/tex]
[tex]ii.\ x = rs50[/tex]
[tex]iii.\ x = rs96[/tex]
[tex]iv.\ x =rs400[/tex]
[tex]v.[/tex] [tex]x = 200[/tex]
Explanation:
[tex]i.\ x + 10\%\ of\ x = 22[/tex]
[tex]x + 10\%\ of\ x = 22[/tex]
Represent of as *
[tex]x + 10\%\ * x = 22[/tex]
Convert % to decimal
[tex]x + 0.10\ * x = 22[/tex]
[tex]x + 0.10x = 22[/tex]
[tex]1.10x = 22[/tex]
Solve for x
[tex]x = \frac{22}{1.10}[/tex]
[tex]x = 20[/tex]
[tex]ii.\ x+20\%\ of\ x=rs60[/tex]
[tex]x+20\%\ of\ x=rs60[/tex]
Represent of as *
[tex]x+20\%* x=rs60[/tex]
Convert % to decimal
[tex]x+0.20* x=rs60[/tex]
[tex]x+0.20x=rs60[/tex]
[tex]1.20x=rs60[/tex]
Solve for x
[tex]x = \frac{rs60}{1.20}[/tex]
[tex]x = rs50[/tex]
Apply the same steps in (i) & (ii) to the following
[tex]iii.\ x+25\%\ of\ x=rs120[/tex]
[tex]x+25\%\ of\ x=rs120[/tex]
[tex]x+25\%* x=rs120[/tex]
[tex]x+0.25* x=rs120[/tex]
[tex]x+0.25x=rs120[/tex]
[tex]1.25x=rs120[/tex]
[tex]x = \frac{rs120}{1.25}[/tex]
[tex]x = rs96[/tex]
[tex]iv.\ x=rs200 + 50\%\ of\ x[/tex]
[tex]x=rs200 + 50\%\ of\ x[/tex]
[tex]x=rs200 + 50\%* x[/tex]
[tex]x=rs200 + 0.50*x[/tex]
[tex]x=rs200 + 0.50x[/tex]
[tex]x - 0.50x = rs200[/tex]
[tex]0.50x = rs200[/tex]
[tex]x = \frac{rs200}{0.50}[/tex]
[tex]x =rs400[/tex]
[tex]v.\ x=180 + 10\%\ of\ x[/tex]
[tex]x=180 + 10\%\ of\ x[/tex]
[tex]x=180 + 10\%*x[/tex]
[tex]x=180 + 0.10*x[/tex]
[tex]x=180 + 0.10x[/tex]
[tex]x-0.10x=180[/tex]
[tex]0.90x=180[/tex]
[tex]x = \frac{180}{0.9}[/tex]
[tex]x = 200[/tex]
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.