Multi-step problems with percent
key notes:
- Mark-up formulas:
- price =cost + mark-up
- mark-up =mark-up percentage × cost
- Discount formulas:
- discount price =original price − discount
- discount =discount percentage × original price
- commission formula:
- commission =commission percentage × sales
- Total pay formula:
- total pay =base salary + commission
Learn with an example
🗼 A store purchased a telephone for ₹680 and marked it up 175%. During a sale, the store marked it down 70%.
What was the discount price of the telephone?
First, find the original price. Write 175% as the decimal 1.75 before using it in the equation.
| price | = | cost + mark-up |
| = | 680 + 1.75 × 680 | |
| = | 680 + 1,190 | |
| = | 1,870 |
The original price was ₹1,870.
Now find the discount price. Write 70% as the decimal 0.70 before using it in the equation.
| discount price | = | original price − discount |
| = | 1,870 − 0.70 × 1,870 | |
| = | 1,870 − 1,309 | |
| = | 561 |
The discount price was ₹561.
🗼 Roxanne works at a store where she earns a base salary of ₹6,388 per week plus a commission of 13% of sales. If Roxanne sold ₹8,000 worth of merchandise last week,
what was her total pay?
First, find the commission. Write 13% as the decimal 0.13 before using it in the equation.
| commission | = | commission percentage × sales |
| = | 0.13 × 8,000 | |
| = | 1,040 |
The commission was ₹1,040.
Now find the total pay.
| total pay | = | base salary + commission |
| = | 6,388 + 1,040 | |
| = | 7,428 |
The total pay was ₹7,428.
🗼 A store purchased a canoe for ₹9,600 and marked it up 100%. Angie makes a 12% commission on all of her sales.
How much commission did she make when she sold the canoe?
₹_____
First find the price. Write 100% as the decimal 1.00 before using it in the equation.
price = cost + mark-up
= 9,600 + 1.00 × 9,600
= 9,600 + 9,600
= 19,200
The price was ₹19,200.
Now find the commission. Write 12% as the decimal 0.12 before using it in the equation.
commission = commission percentage × sales
= 0.12 x 19,200
= 2,304
The commission was ₹2,304.
Let’s Practice!
