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Sagot :

SALE PRICE | ORIGINAL PRICE | MARK-UP RATE | COMMISSION | SIMPLE INTEREST

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NUMBER ONE

Selling Price: [tex]\large\tt{Php\:500.00}[/tex]

Rate of Discount: [tex]\large\tt{20\%}[/tex]

Sale Price: [tex]\large\tt\red{Php\:400.00}[/tex]

[tex]\large\sf{\underline{Solution:}}[/tex]

We will use the formula [tex]\large\rm{Sale\:Price=Selling\:Price-(Selling\:Price \times Discount\:Rate)}[/tex] in order to find the sale price. To convert rate into a decimal, remove the percent sign "%" and simply divide the given number by 100.

  • [tex]\large\rm{Sale\:Price=Selling\:Price-(Selling\:Price \times Discount\:Rate)}[/tex]

  • [tex]\large\rm{Sale\:Price=Php\:500.00-(Php\:500.00 \times 20\%)}[/tex]

  • [tex]\large\rm{Sale\:Price=Php\:500.00-(Php\:500.00 \times 0.2)}[/tex]

  • [tex]\large\rm{Sale\:Price=Php\:500.00-(Php\:100.00)}[/tex]

  • [tex]\large\rm{Sale\:Price=Php\:500.00-Php\:100.00}[/tex]

  • [tex]\large\rm\purple{Sale\:Price=Php\:400.00}[/tex]

∴ The sale price is Php 400.00.

NUMBER TWO

Mark-Up Rate: [tex]\large\tt{25\%}[/tex]

Mark-Up Price: [tex]\large\tt{Php\:275.00}[/tex]

Original Price: [tex]\large\tt\red{Php\:1,100.00}[/tex]

[tex]\large\sf{\underline{Solution:}}[/tex]

We will use the formula [tex]\large\rm{OP=\frac{MP}{MR} }[/tex] (where "OP" stands for original price, "MP" stands for mark-up price and "MR" stands for mark-up rate) in order to find the original price.

  • [tex]\large\rm{OP=\frac{MP}{MR} }[/tex]

  • [tex]\large\rm{OP=\frac{Php\:275.00}{25\%} }[/tex]

  • [tex]\large\rm{OP=\frac{Php\:275.00}{0.25} }[/tex]

  • [tex]\large\rm\purple{OP=Php\:1,100.00}[/tex]

∴ The original price is Php 1,100.00.

NUMBER THREE

Original Price: [tex]\large\tt{Php\:4,200.00}[/tex]

Mark-Up Price: [tex]\large\tt{Php\:1,680.00}[/tex]

Mark-Up Rate: [tex]\large\tt\red{40\%}[/tex]

[tex]\large\sf{\underline{Solution:}}[/tex]

We will use the formula [tex]\large\rm{MR=\frac{MP}{OP} }[/tex] (where "MR" stands for mark-up rate, "MP" stands for mark-up price and "OP" stands for original price) in order to find the mark-up rate.

  • [tex]\large\rm{MR=\frac{MP}{OR} \times{100} }[/tex]

  • [tex]\large\rm{MR=\frac{Php\:1,680.00}{Php\:4,200.00}\times{100} }[/tex]

  • [tex]\large\rm{MR= 0.4\times{100}}[/tex]

  • [tex]\large\rm{MR=40}[/tex]

  • [tex]\large\rm\purple{MR=40\%}[/tex]

∴ The mark-up rate is 40%.

NUMBER FOUR

Total Sales: [tex]\large\tt{Php\:38,500.00}[/tex]

Rate of Commission: [tex]\large\tt{5\%}[/tex]

Commission: [tex]\large\tt\red{Php\:1,925.00}[/tex]

[tex]\large\sf{\underline{Solution:}}[/tex]

We will use the formula [tex]\large\rm{C=TS \times RC}[/tex] (where "C" stands for commission, "TS" stands for total sales and "RC" stands for rate of the commission) in order to find the commission.

  • [tex]\large\rm{C=TS \times RC }[/tex]

  • [tex]\large\rm{C=Php\:38,500.00 \times 5\% }[/tex]

  • [tex]\large\rm{C=Php\:38,500.00 \times 0.05 }[/tex]

  • [tex]\large\rm\purple{C=Php\: 1,925.00}[/tex]

∴ The commission is Php 1,925.00.

NUMBER FIVE

Principal Amount: [tex]\large\tt{Php\:15,000.00}[/tex]

Rate: [tex]\large\tt{1\%}[/tex]

Time: [tex]\large\tt{6\:months}[/tex]

Simple Interest: [tex]\large\tt\red{Php\:75.00}[/tex]

[tex]\large\sf{\underline{Solution:}}[/tex]

We will use the formula [tex]\large\rm{I=PRT}[/tex] (where "I" stands for simple interest, "P" stands for principal amount,"R" stands for rate and "T" stands for time) in order to find the simple interest. To convert months into a year, simply divide the given months by 12 since there are 12 months in a year.

  • [tex]\large\rm{I=PRT}[/tex]

  • [tex]\large\rm{I=(Php\:15,000.00)(1\%)(6\:months)}[/tex]

  • [tex]\large\rm{I=(Php\:15,000.00)(0.01)(0.5)}[/tex]

  • [tex]\large\rm{I=(Php\:150.00)(0.5)}[/tex]

  • [tex]\large\rm\purple{I=Php\:75.00}[/tex]

∴ The simple interest is Php 75.00.

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

I hope you find my answer helpful! Just message me directly if you don't understand my answer. Have a great day ahead!

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

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