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A product is sold for $240 after a 20% discount. What was the original price?

Mathematics

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Q1) A product is sold for $240 after a 20% discount. What was the original price?

  1. Determine the percentage of the original price represented by the discounted price.

    A 20% discount means the selling price is 100%−20%=80%100\% - 20\% = 80\% of the original price.

  2. Set up an equation to find the original price.

    Let PP be the original price. 0.80×P=$2400.80 \times P = \$240

  3. Solve for PP.

    P=$2400.80P = \frac{\$240}{0.80} P=$300P = \$300 The original price was \boxed{\text{\300}}$.

    Q2) If 5 pens cost $12.50, what is the cost of 8 pens?

  4. Calculate the cost of one pen.

    Cost per pen=$12.505 pens\text{Cost per pen} = \frac{\$12.50}{5 \text{ pens}} Cost per pen=$2.50 per pen\text{Cost per pen} = \$2.50 \text{ per pen}

  5. Calculate the cost of 8 pens.

    Cost of 8 pens=$2.50/pen×8 pens\text{Cost of 8 pens} = \$2.50/\text{pen} \times 8 \text{ pens} Cost of 8 pens=$20.00\text{Cost of 8 pens} = \$20.00 The cost of 8 pens is \boxed{\text{\20}}$.

    Q3) A train travels at 90 km/h. How far will it go in 2 hours and 30 minutes?

  6. Convert the total time to hours.

    30 minutes=3060 hours=0.5 hours30 \text{ minutes} = \frac{30}{60} \text{ hours} = 0.5 \text{ hours} Total time=2 hours+0.5 hours=2.5 hours\text{Total time} = 2 \text{ hours} + 0.5 \text{ hours} = 2.5 \text{ hours}
  7. Use the formula Distance = Speed ×\times Time.

    Distance=90 km/h×2.5 h\text{Distance} = 90 \text{ km/h} \times 2.5 \text{ h} Distance=225 km\text{Distance} = 225 \text{ km}

    The train will go 225 km\boxed{\text{225 km}}.

    Q4) A man spends 3/5 of his salary. If he earns $2,500 monthly, how much does he save?

  8. Determine the fraction of salary saved.

    If he spends 35\frac{3}{5} of his salary, he saves the remaining fraction.

    Fraction saved=1−35\text{Fraction saved} = 1 - \frac{3}{5} Fraction saved=55−35\text{Fraction saved} = \frac{5}{5} - \frac{3}{5} Fraction saved=25\text{Fraction saved} = \frac{2}{5}
  9. Calculate the amount saved.

    Amount saved=25×$2,500\text{Amount saved} = \frac{2}{5} \times \$2,500 Amount saved=2×$2,5005\text{Amount saved} = \frac{2 \times \$2,500}{5} Amount saved=$5,0005\text{Amount saved} = \frac{\$5,000}{5} Amount saved=$1,000\text{Amount saved} = \$1,000 He saves \boxed{\text{\1,000}}$.

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