Business Mathematics & Statistics #4

1. Given Net price of shirt = $20, Discount = 10%, List price will:

$22

$24

$26

$30

The list price of the shirt will be $22. This can be calculated by subtracting the discount amount from the net price. Since the discount is 10% of the net price, which is $20, the discount amount is $2. Subtracting $2 from the net price gives us $20 - $2 = $22, which is the list price of the shirt.

Explanation

The list price of the shirt will be $22. This can be calculated by subtracting the discount amount from the net price. Since the discount is 10% of the net price, which is $20, the discount amount is $2. Subtracting $2 from the net price gives us $20 - $2 = $22, which is the list price of the shirt.

2. What is the interest on Rs. 1600 for one year at the rate 3-1/2 %?

65

56

75

90

Interest = (Principal * Rate * Time) / 100

In this case:

Principal = Rs. 1600

Rate = 3-1/2 % = 3.5%

Time = 1 year

Substituting these values into the formula, we get:

Interest = (1600 * 3.5 * 1) / 100 = 56

Therefore, the interest on Rs. 1600 for one year at the rate of 3-1/2 % is Rs. 56.

Explanation

Interest = (Principal * Rate * Time) / 100

In this case:

Principal = Rs. 1600

Rate = 3-1/2 % = 3.5%

Time = 1 year

Substituting these values into the formula, we get:

Interest = (1600 * 3.5 * 1) / 100 = 56

Therefore, the interest on Rs. 1600 for one year at the rate of 3-1/2 % is Rs. 56.

3. If there is a -30% change in the price of an item, what does the negative sign show?

The price is increasing.

The price is decreasing.

The price has low rate of change.

None of the above.

The negative sign in the -30% change in price indicates that the price is decreasing. A negative sign denotes a decrease or reduction in value, and in this case, it represents a decrease of 30% in the price of the item.

Explanation

The negative sign in the -30% change in price indicates that the price is decreasing. A negative sign denotes a decrease or reduction in value, and in this case, it represents a decrease of 30% in the price of the item.

4. Suppose that you are spending 1500 dollars in an investment and Accumulated factor is 15 then Accumulated Value will be:

22550

22500

21000

22510

The accumulated value of an investment can be calculated by multiplying the amount invested by the accumulated factor. In this case, the accumulated factor is 15, so multiplying 1500 dollars by 15 gives us an accumulated value of 22500 dollars.

Explanation

The accumulated value of an investment can be calculated by multiplying the amount invested by the accumulated factor. In this case, the accumulated factor is 15, so multiplying 1500 dollars by 15 gives us an accumulated value of 22500 dollars.

5. Store A marked down a $ 50 perfume to $ 40 with markdown of $10 The % Markdown is:

10%

20%

30%

40%

The percentage markdown can be calculated by dividing the markdown amount by the original price and then multiplying by 100. In this case, the markdown amount is $10 and the original price is $50. So, the percentage markdown is (10/50) * 100 = 20%.

Explanation

The percentage markdown can be calculated by dividing the markdown amount by the original price and then multiplying by 100. In this case, the markdown amount is $10 and the original price is $50. So, the percentage markdown is (10/50) * 100 = 20%.

6. Dimension of a matrix means:

Column space

Row space

Order of the matrix

None of these

The dimension of a matrix refers to the number of rows and columns it has, which is also known as the order of the matrix. It is determined by the number of elements in each row and column. Therefore, the correct answer is "Order of the matrix."

Explanation

The dimension of a matrix refers to the number of rows and columns it has, which is also known as the order of the matrix. It is determined by the number of elements in each row and column. Therefore, the correct answer is "Order of the matrix."

7. Write a formula to find the simple interest (I) if $5000 is invested at 4% for 2 years.

I=PRT

I=P+R+T

I=PT

I=P(R+T)

The formula to find the simple interest is I = PRT, where I represents the interest, P represents the principal amount (in this case $5000), R represents the rate of interest (4%), and T represents the time period (2 years). By substituting the given values into the formula, we can calculate the simple interest.

Explanation

The formula to find the simple interest is I = PRT, where I represents the interest, P represents the principal amount (in this case $5000), R represents the rate of interest (4%), and T represents the time period (2 years). By substituting the given values into the formula, we can calculate the simple interest.

8. If the cost & selling price of a pen are Rs.12 & Rs.15 respectively, profit percentage is:

33.33%

25%

20%

10%

The profit percentage can be calculated by subtracting the cost price from the selling price, and then dividing the result by the cost price. In this case, the profit is Rs.15 - Rs.12 = Rs.3. Dividing Rs.3 by Rs.12 and multiplying by 100 gives a profit percentage of 25%.

Explanation

The profit percentage can be calculated by subtracting the cost price from the selling price, and then dividing the result by the cost price. In this case, the profit is Rs.15 - Rs.12 = Rs.3. Dividing Rs.3 by Rs.12 and multiplying by 100 gives a profit percentage of 25%.

9. Every percentage can be converted into:

Decimal

Ratio

Proportion

Both decimal & ratio

Every percentage can be converted into both decimal and ratio formats. Converting a percentage to a decimal involves dividing the percentage value by 100. For example, 50% can be converted to 0.50 as a decimal. On the other hand, converting a percentage to a ratio involves expressing it as a fraction with a denominator of 100. For instance, 75% can be written as the ratio 75/100. Therefore, both decimal and ratio formats can be used to represent percentages.

Explanation

Every percentage can be converted into both decimal and ratio formats. Converting a percentage to a decimal involves dividing the percentage value by 100. For example, 50% can be converted to 0.50 as a decimal. On the other hand, converting a percentage to a ratio involves expressing it as a fraction with a denominator of 100. For instance, 75% can be written as the ratio 75/100. Therefore, both decimal and ratio formats can be used to represent percentages.

10. VDB returns the depreciation of an asset for:

Zero period

One period

Two period

Any arbitrary period

VDB, which stands for Variable Declining Balance, is a function used in financial calculations to determine the depreciation of an asset. Unlike other depreciation methods that calculate depreciation for specific periods, VDB allows for depreciation to be calculated for any arbitrary period. This means that it can be used to determine depreciation for any desired time frame, regardless of whether it is a zero, one, two, or any other period. Therefore, the correct answer is that VDB can be used to calculate depreciation for any arbitrary period.

Explanation

VDB, which stands for Variable Declining Balance, is a function used in financial calculations to determine the depreciation of an asset. Unlike other depreciation methods that calculate depreciation for specific periods, VDB allows for depreciation to be calculated for any arbitrary period. This means that it can be used to determine depreciation for any desired time frame, regardless of whether it is a zero, one, two, or any other period. Therefore, the correct answer is that VDB can be used to calculate depreciation for any arbitrary period.

11. This example returns the depreciation for an asset that costs Rs. 10,000, with a salvage value of $8,000. The useful life of the asset is 5 years. The depreciation is being calculated for the third year, and there are 10 months in the first year.

=DB (10000, 5, 8000, 3, 10)

=DB (10000, 8000, 5, 10, 3)

=DB (10000, 8000, 5, 3, 10)

=DB (10000, 8000, 10, 3, 5)

The correct answer is =DB (10000, 8000, 5, 3, 10). This is the correct formula to calculate the depreciation for the given asset. The parameters in the formula are in the correct order and correspond to the cost of the asset, salvage value, useful life, period, and months. The formula will accurately calculate the depreciation for the third year considering the 10 months in the first year.

Explanation

The correct answer is =DB (10000, 8000, 5, 3, 10). This is the correct formula to calculate the depreciation for the given asset. The parameters in the formula are in the correct order and correspond to the cost of the asset, salvage value, useful life, period, and months. The formula will accurately calculate the depreciation for the third year considering the 10 months in the first year.

12. Monthly installments of a leased car are calculated by using the techniques of:

Simple interest method

Compound interest method

Annuity

Hit & trial method

The monthly installments of a leased car are calculated using the compound interest method. This method takes into account the principal amount, the interest rate, and the time period over which the installments will be paid. Compound interest is calculated by adding the interest earned to the principal amount, and then calculating interest on the new total for each time period. This ensures that the interest is compounded and the monthly installments are adjusted accordingly.

Explanation

The monthly installments of a leased car are calculated using the compound interest method. This method takes into account the principal amount, the interest rate, and the time period over which the installments will be paid. Compound interest is calculated by adding the interest earned to the principal amount, and then calculating interest on the new total for each time period. This ensures that the interest is compounded and the monthly installments are adjusted accordingly.

13.

Which is the correct syntax for the determinant of a matrix given by the following array:

=DETERM(B4:E7)

=MDTERM(B4:E7)

=MDETERM(B4:E7)

=MDETERM(B4;E7)

The correct syntax for the determinant of a matrix given by the array B4:E7 is =MDETERM(B4:E7).

Explanation

The correct syntax for the determinant of a matrix given by the array B4:E7 is =MDETERM(B4:E7).

14. Which of the following functions is not related to financial analysis?

AMORDEGRC

AMORLINC

CUMIPMT

MDETERM

MDETERM is not related to financial analysis because it is a mathematical function used in linear algebra to calculate the determinant of a matrix. Financial analysis involves analyzing financial statements and data to make informed decisions about investments, budgeting, and other financial matters. The other three functions listed (AMORDEGRC, AMORLINC, and CUMIPMT) are all specific financial functions used in Excel for calculating different financial metrics such as amortization and cumulative interest payments.

Explanation

MDETERM is not related to financial analysis because it is a mathematical function used in linear algebra to calculate the determinant of a matrix. Financial analysis involves analyzing financial statements and data to make informed decisions about investments, budgeting, and other financial matters. The other three functions listed (AMORDEGRC, AMORLINC, and CUMIPMT) are all specific financial functions used in Excel for calculating different financial metrics such as amortization and cumulative interest payments.