Answer:

Answer:

Learning Task 1: Complete the following table. Below is the answer to each box.

1. Discount: Php 190.00; Sale Price: Php 760.00

2. Discount: Php 192.50; Sale Price: Php 357.50

3. Rate of Discount: 45% Sale Price: Php 852.50

4. Mark-up Price: Php 190.00 Selling Price: Php 1140.00

5. Mark-up Price: Php 192.50 Selling Price: Php 742.50

6. Mark-up Rate: 45% Selling Price: Php 2247.50

7. Commission: Php 750

8. Total Sale: Php 146, 128.57

9. Simple Interest: Php 4812.50

10. Rate: 1.5%

Step-by-step explanation:

In Business Math, it is important that you have common knowledge about discounts, rate discounts, sale prices, mark-up prices, selling prices, commissions, and simple interests. These terms will help you understand the basics of business.

Discount is the amount to be deducted from the original price due to a discount percentage.

Different Type of Sales

Discount

Mark up

Some Types of Interests

Simple Interest

Compound Interest

Compound Continuous Interest

Solutions

1. Solve for the discount amount. Multiply Php 950.00 by 20%.

Discount amount: 950 \times 0.20 = \boxed{190}950×0.20=

190

Sale Price: 950 - 190 = \boxed{760}950−190=

760

2. Solve for the discount amount. Multiply Php 550.00 by 35%.

Discount amount: 550 \times 0.35 = \boxed{192.50}550×0.35=

192.50

Sale Price: 550-192.50=\boxed{357.50}550−192.50=

357.50

3. Solve for the rate of discount. Divide Php 1, 550.00 by Php 697.50.

rate of discount: Let rr be the discount rate.

Then,

\begin{gathered}1550.00 \times r = 697.50 \longrightarrow r=\frac{697.50}{1550.00}=0.45 \text{\:or\:} \boxed{45\%}\\\\\end{gathered}

1550.00×r=697.50⟶r=

1550.00

697.50

=0.45or

45%

Sale Price: \begin{gathered}1550 - 697.50 = \boxed{852.50}\\\\\end{gathered}

1550−697.50=

852.50

Solutions

4. Solve for the mark-up price amount. Multiply Php 950.00 by 20%.

Mark-up price amount: 950 \times 0.20 = \boxed{190}950×0.20=

190

Selling Price: \begin{gathered}950 + 190 = \boxed{1140}\\\end{gathered}

950+190=

1140

5. Solve for the mark-up price amount. Multiply Php 550.00 by 35%.

Mark-up price amount: 550 \times 0.35 = \boxed{192.50}550×0.35=

192.50

Selling Price: \begin{gathered}550+192.50 = \boxed{742.50}\\\end{gathered}

550+192.50=

742.50

6. Solve for the mark-up rate. Divide Php 1, 550.00 by Php 697.50.

Mark-up rate: Let rr be the discount rate.

Then,

\begin{gathered}1550.00 \times r = 697.50 \longrightarrow r=\frac{697.50}{1550.00}=0.45 \text{\:or\:} \boxed{45\%}\\\\\end{gathered}

1550.00×r=697.50⟶r=

1550.00

697.50

=0.45or

45%

Selling Price: \begin{gathered}1550 + 697.50 = \boxed{2247.50}\\\\\end{gathered}

1550+697.50=

2247.50

Solutions

7. Solve for the commission amount. Multiply Php 15, 000 by 5%.

Commission amount: 15000 \times 0.05 = \boxed{750}15000×0.05=

750

8. Solve for the total sales. Divide Php 20, 458.00 by 14%

Total Sales: Let TT be the total sales.

Then,

T(14\%)=20458 \longrightarrow T=\frac{20458}{0.14}=\boxed{146, 128.57}T(14%)=20458⟶T=

0.14

20458

=

146,128.57

Solutions

9. Solve for the Simple Interest amount. Multiply Php 25,000 by 5.5% by 3.5.

Simple Interest Amount: \begin{gathered}25000 \times 0.055 \times 3.5 =\boxed{4812.50}\\\end{gathered}

25000×0.055×3.5=

4812.50

10. Solve for the rate of interest. Use the formula I=PrtI=Prt .

Rate of Interest:

\begin{gathered}\begin{aligned}I&=Prt\\252&=4,200r(4)\\252&=16800r\\\frac{252}{16800}&=\frac{16800}{16800}\\0.015&=r\\&\text{or}\\\boxed{1.5\%}&=r\end{aligned}\end{gathered}

I

252

252

16800

252

0.015

1.5%

=Prt

=4,200r(4)

=16800r

=

16800

16800

=r

or

=r

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