A man spends 1/5 of his salary on food, 1/10 of his salary on house rent and 3/5 of his salary on clothes. He still has $18000 left with him. Find his salary.. Created by SakuraNaomi. Math

Solution:The expenditure incurred on each item is expressed as part of the total amount (salary), so it is an independent activity.In general for independent activities × Total amount = Balance amount × Total salary = $18000 × Total salary = $18000Therefore total salary = $18000 × 10 = $180000⚘ ᴄʜᴇꜱᴋᴀ ⚘“ɴᴇᴠᴇʀ ꜱᴛᴏᴘꜱ ʟᴇᴀʀɴɪɴɢ, ʙᴇᴄᴀᴜꜱᴇ ʟɪꜰᴇ ɴᴇᴠᴇʀ ꜱᴛᴏᴘꜱ ᴛᴇᴀᴄʜɪɴɢ”

5 of his salary on clothes. He still has $18000 left with him. Find his salary....

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$\huge\color{red} {\boxed{\tt{A}}}\color{orange}{\boxed{\tt{N}}}\color{yellow}{\boxed{\tt{S}}}\color{green}{\boxed{\tt{W}}}\color{blue}{\boxed{\tt{E}}}\color{violet}{\boxed{\tt{R}}}$

Solution:

The expenditure incurred on each item is expressed as part of the total amount (salary), so it is an independent activity.

In general for independent activities

${ (x1/y1 + x2/y2 + x3/y3)}$ × Total amount = Balance amount

${ (1/5 + 1/10 + 3/5)}$ × Total salary = $18000

${ 9/10}$ × Total salary = $18000

Therefore total salary = $18000 × 10 = $180000

$\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \}}}$

⚘ ᴄʜᴇꜱᴋᴀ ⚘

“ɴᴇᴠᴇʀ ꜱᴛᴏᴘꜱ ʟᴇᴀʀɴɪɴɢ, ʙᴇᴄᴀᴜꜱᴇ ʟɪꜰᴇ ɴᴇᴠᴇʀ ꜱᴛᴏᴘꜱ ᴛᴇᴀᴄʜɪɴɢ”

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$\huge\color{red} {\boxed{\tt{A}}}\color{orange}{\boxed{\tt{N}}}\color{yellow}{\boxed{\tt{S}}}\color{green}{\boxed{\tt{W}}}\color{blue}{\boxed{\tt{E}}}\color{violet}{\boxed{\tt{R}}}$

Solution:

The expenditure incurred on each item is expressed as part of the total amount (salary), so it is an independent activity.

In general for independent activities

${1 – (x1/y1 + x2/y2 + x3/y3)}$ × Total amount = Balance amount

${1 – (1/5 + 1/10 + 3/5)}$ × Total salary = $18000

${1 – 9/10}$ × Total salary = $18000

Therefore total salary = $18000 × 10 = $180000

$\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \}}}$

⚘ ᴄʜᴇꜱᴋᴀ ⚘

“ɴᴇᴠᴇʀ ꜱᴛᴏᴘꜱ ʟᴇᴀʀɴɪɴɢ, ʙᴇᴄᴀᴜꜱᴇ ʟɪꜰᴇ ɴᴇᴠᴇʀ ꜱᴛᴏᴘꜱ ᴛᴇᴀᴄʜɪɴɢ”

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