QUESTION IMAGE
Question
job 11
decimals, fractions, percents | job 11
name
date
period
grade
expense comparison
harolds hardware
| item | previous month | present month | amount of inc. or dec. | percent of inc. or dec. |
|---|---|---|---|---|
| bad debts | 432 | 220 | 47. | |
| delivery expenses | 704 | 645 | 48. | |
| depreciation | 265 | 278 | 49. | |
| heat & light | 659 | 706 | 50. | |
| insurance | 213 | 399 | 51. | |
| rent | 878 | 809 | 52. | |
| salaries | 2,692 | 2,436 | 53. | |
| supplies | 201 | 82 | 54. | |
| taxes | 445 | 596 | 55. |
Identify the formula and given values
The problem requires calculating the "Amount of Inc. or Dec." and the "Percent of Inc. or Dec." for each expense item listed in the table.
The formula for the amount of change is:
$$
\text{Amount of Change} = \text{Present Month} - \text{Previous Month}
$$
The formula for the percent of change is:
$$
\text{Percent of Change} = \frac{\text{Amount of Change}}{\text{Previous Month}} \times 100\%
$$
We round the percentage to two decimal places.
Calculate values for Bad Debts (Items 47 & 48)
- Previous Month: \(432\)
- Present Month: \(220\)
- Amount of Change:
$$
220 - 432 = -212
$$
- Percent of Change:
$$
\frac{-212}{432} \times 100\% \approx -49.07\%
$$
Calculate values for Delivery Expenses (Items 49 & 50)
- Previous Month: \(704\)
- Present Month: \(645\)
- Amount of Change:
$$
645 - 704 = -59
$$
- Percent of Change:
$$
\frac{-59}{704} \times 100\% \approx -8.38\%
$$
Calculate values for Depreciation, Heat & Light, and Insurance (Items 51 to 55)
- Depreciation:
- Previous: \(265\), Present: \(278\)
- Amount: \(278 - 265 = 13\)
- Percent: \(\frac{13}{265} \times 100\% \approx 4.91\%\)
- Heat & Light:
- Previous: \(659\), Present: \(706\)
- Amount: \(706 - 659 = 47\)
- Percent: \(\frac{47}{659} \times 100\% \approx 7.13\%\)
- Insurance:
- Previous: \(213\), Present: \(399\)
- Amount: \(399 - 213 = 186\)
- Percent: \(\frac{186}{213} \times 100\% \approx 87.32\%\)
Calculate values for Rent, Salaries, Supplies, and Taxes (Items 52 to 55 in the table)
- Rent:
- Previous: \(878\), Present: \(809\)
- Amount: \(809 - 878 = -69\)
- Percent: \(\frac{-69}{878} \times 100\% \approx -7.86\%\)
- Salaries:
- Previous: \(2,692\), Present: \(2,436\)
- Amount: \(2,436 - 2,692 = -256\)
- Percent: \(\frac{-256}{2692} \times 100\% \approx -9.51\%\)
- Supplies:
- Previous: \(201\), Present: \(82\)
- Amount: \(82 - 201 = -119\)
- Percent: \(\frac{-119}{201} \times 100\% \approx -59.20\%\)
- Taxes:
- Previous: \(445\), Present: \(596\)
- Amount: \(596 - 445 = 151\)
- Percent: \(\frac{151}{445} \times 100\% \approx 33.93\%\)
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| No. | Answer |
|---|---|
| 47 | \(-212\) |
| 48 | \(-49.07\%\) |
| 49 | \(-59\) |
| 50 | \(-8.38\%\) |
| 51 | \(13\) |
| 52 | \(4.91\%\) |
| 53 | \(47\) |
| 54 | \(7.13\%\) |
| 55 | \(186\) |