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RHONZKIEPACIBEIN
Answered

1) A rubber shoes priced at P650.00 is marked 15% off. How much will be the discount.
2) Mr. Lozano paid P13,599.15 for a dinning set that originally costs P15,999.00. What is the rate of discount?
3) A pair of ring that regularly sells at P1580.00 is on sale at 30% off. What is the sale price?
4) The sales tax on a P25,400 laptop is P3,048. What is the rate of sales tax?
5) A toy car was sold for P2.460 with a 18% discount. What was the original price of the doll?

With solution pls​

Sagot :

CHESKAMAE5IN

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[tex]\huge\boxed{\mathbb{ANSWER:}\downarrow}[/tex]

1.) ₱ 97.5

2.) 15%

3.) ₱ 1,106

4.) 12%

5.) ₱ 3,000

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[tex]\huge\boxed{\mathbb{FORMULA:}\downarrow}[/tex]

1.) To find the discount, multiply the price by the discount rate.

2.) To find the discount rate, first find the amount of discount. Then, solve for the rate by dividing the discount by the original price.

3.) To find the sale price find the discount price and subtract from the original price or S = P - PD

  • S → The sale price
  • P → The original price
  • D → The discount percent

4.) Rate = Percentage ÷ Base or R = P/B

5.) Original Price = Sale Price ÷ ( 1 - Discount)

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[tex]\huge\boxed{\mathbb{SOLUTION:}\downarrow}[/tex]

[tex] \rm{1.)\: 650.00} \times .15 = n[/tex]

[tex]\: \: \: \: \: \rm \downarrow \: \: \: \: \: \: \: \: \: \: \rm \downarrow \: \: \: \: \: \: \: \downarrow[/tex]

[tex] \rm{Price} \: \: \: \: \: {Rate} \: \: \: \: Discount[/tex]

[tex] \rm{Discount} = 650 \times .15 \\\: \: \: \: \: \: \: \: \boxed{\rm{= ₱97.5}}[/tex]

[tex] \rm{2.)\: Step \: 1} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \rm{ Find \: the \: amount \: of \: discount.}[/tex]

[tex] \rm{ \: \: \: 15,999.00} \rm{ \: - \: Discount \: price} \: \: \: \: \: \: \: \: \: \: \: \\ { - } { \underline { \rm{ 13,599.15}} } \: \rm{ - \: Original \: price } \: \: \: \: \: \: \: \: \: \: \: \: \: \\ { \rm{ {2,399.85}}} \rm{ \: - \: amount \: of \: discount}[/tex]

[tex] \rm{Step \: 2 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \rm{Find \: the \: discount \: rate.}[/tex]

[tex] \rm{n \times 15,99.00 = 2,399.85} \: \: \\ \rm{n = 2,399.85 \div 15,999.00} \\\boxed{\rm{n = .15 \: or \: 15\%}} \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Checking:

Amount of discount : 15,999.00 × .15 = 2,399.85

Original price minus discount : 15,999.00 - 2,399.85 = 13,599.15

[tex]3.) \rm{\: 1,580 \times .30 = 474}\: \: \: \: \: \: \: \: \: \: \\ \: \: \: \: 1,580- 474 \boxed{\rm{=₱ 1,106}}[/tex]

[tex] \rm{4.) \: n\% \: of \: 2,460\: = 3,048}[/tex]

[tex] \: \: \: \: \: \: \rm{ \downarrow} \: \: \: \: \: \: \: \: \: \: \: \: \: \rm { \downarrow} \: \: \: \: \: \: \: \: \: \: \: \rm{ \downarrow}[/tex]

[tex] \: \: \: \: \rm{Rate \times Base = Percentage}[/tex]

[tex] \rm{n\% \: of \: 2,460 \: = 3,048} \: \: \: \: \: \: \: \: \\ \downarrow \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \rm{ Rate \: \times 2,460 = 3,048} \: \: \: \: \: \: \: [/tex]

Rate = 3,048 ÷ 2,460

Rate = 1.23902439 or 12%

Checking:

1.23902439 × 2,460 = 3,048

[tex] \rm{5.) \:Original \: price \: = 2,460 \div (1 - .18) } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \rm{ = 2,460 \div .82} \: \: \: \: \: \: \: \: \: \: \: \ \ \: \: \: \: \: \\ \: \: \: \: \: \: \: \: \: \: \:\boxed{\rm{= ₱3,000}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

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