HSC Commerce (Marathi Medium) 12th Standard Board Exam [इयत्ता १२ वी] - Maharashtra State Board Question Bank Solutions

An agent sold a car and charged 3% commission on sale value. If the owner of the car received ₹ 48,500, find the sale value of the car. If the agent charged 2% from the buyer, find his total remuneration

Three cars were sold through an agent for ₹ 2,40,000, ₹ 2,22,000 and ₹ 2,25,000 respectively. The rates of commission were 17.5% on the first, 12.5% on the second. If the agent overall received 14% commission on the total sales, find the rate of commission paid on the third car.

Solution: Total selling Price of three cars = 2,40,000 + 2,22,000 + 2,25,000

= `square`

Commision on total sale = 14%

= `14/100 xx square`

Selling price of First car = ₹ 2,40,000

Rate of commission = 17.5% 

= `17.5/100 xx 2,40,000 = square`

∴ Commission on first car = ₹ `square`

Selling price of Second car = ₹ 2,22,000

Rate of commission = 12.5%

= `12.5/100 xx 2,22,000 = square`

∴ Commission on second car = ₹ `square`

Selling price of third car = ₹ 2,25,000

Let the rate of commission be x

Commission on third car = `x/100 xx 2,25,000`

∴ Commission on third car = Total commission − (commission on first car + commission on second car)

∴ `x/100 xx 2,25,000 = square - {square + square}`

∴ x = `square`

State whether the following statement is True or False:

Regression analysis is used for measuring the degree of the relationship between the variables

State whether the following statement is True or False: 

The variable used for predicting the response is called the independent variable

Dependent variables are also known as ______

Choose the correct alternative:

Price Index Number by using Weighted Aggregate Method is given by

Choose the correct alternative:

The formula P₀₁ = `(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100` is for

Choose the correct alternative:

Dorbish–Bowley’s Price Index Number is

Choose the correct alternative:

Walsh's Price Index Number is given by

Choose the correct alternative:

Fisher’s Price Index Number is

The average of Laspeyre’s and Paasche’s Price Index Numbers is called ______ Price Index Number

State whether the following statement is True or False:

Walsh’s Price Index Number is given by `(sum"p"_1sqrt("q"_0"q"_1))/(sum"p"_0sqrt("q"_0"q"_1)) xx 100`

State whether the following statement is True or False:

`(sum"p"_1"q"_1)/(sum"p"_0"q"_1) xx 100` is Paasche’s Price Index Number

State whether the following statement is True or False:

`(sum"p"_0sqrt("q"_0 + "q"_1))/(sum"p"_1sqrt("q"_0 + "q"_1)) xx 100` is Marshall-Edgeworth Price Index Number

State whether the following statement is True or False:

`[sqrt((sum"p"_1"q"_1)/(sum"p"_0"q"_1)) + (sumsqrt("q"_0"q"_1))/(sum("p"_0 + "p"_1))] xx 100` is Fisher’s Price Index Number.

Calculate
a) Laspeyre’s
b) Passche’s
c) Dorbish-Bowley’s Price Index Numbers for following data.

Calculate Marshall-Edgeworth Price Index Number for following.

Calculate Walsh’s price Index Number for the following data.

If P₀₁(L) = 40 and P₀₁(P) = 90, find P₀₁(D-B) and P₀₁(F).

If Laspeyre’s and Paasche’s Price Index Numbers are 50 and 72 respectively, find Dorbish-Bowley’s and Fisher’s Price Index Numbers