Explanation

A voucher is a document that records a financial transaction.

It can serve as a wages sheet for employee salary payments.

It can also act as a bank receipt for money received.

It can be a payment bill to authorize payments to suppliers or creditors.

Vouchers are essential for accounting, auditing, and financial control

Explanation

• The range is the difference between the maximum and minimum values in a data set.
• It shows the spread or dispersion of the data.
• Formula: Range = Maximum value − Minimum value

Additional information:

• Example Data Set: 4, 7, 10, 15, 20 → Range = 20 − 4 = 16

Other Measures of Central Tendency:

• Mean → Average of values
• Mode → Most frequent value
• Median → Middle value

Last verified on 19-01-2026

Explanation

13 mod 5 = 3

17 mod 5 = 2

(13 × 17) mod 5 = (3 × 2) mod 5

= 6 mod 5

= 1

Explanation

Mode = 11, Mean = 12

Using:

Mean - Mode ≈ 3(Mean - Median)

12 - 11 = 3(12 - Median)

1 = 36 - 3Median

3Median = 35

Median = 35/3

= 11.67

Explanation

When class frequencies vary widely, weighting each class by its frequency gives a more accurate central tendency.

Weighted mean accounts for differences in data distribution across classes.

Explanation

Compound interest (CI) is always more than simple interest (SI) when interest is calculated more than once or for multiple periods.

This is because CI earns interest on both principal and accumulated interest.

The difference between CI and SI increases with higher rates and longer time periods.

Explanation

Total balls = 4 + 5 + 1 = 10

Red balls = 4

Probability = 4/10 = 2/5

Explanation

Numbers in order: 5, 7, 12, 18, 20

Middle value (3rd number) = 12

Explanation

The formula for calculating the profit margin is:

Profit Margin = (Net Income / Revenue) * 100

Additional information:

The formula for calculating the gross profit margin is:

Gross Profit Margin = (Revenue - Cost of Goods Sold) / Revenue * 100

Explanation

The internal rate of return stands for IRR

It is the interest rate (also known as the discount rate) 

The IRR rule is used as a guideline for deciding whether to proceed with a project