HSC Commerce (Marathi Medium) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions

If payments of an annuity fall due at the beginning of every period, the series is called annuity ______

The intervening time between payment of two successive installments is called as ______

A 35-year old person takes a policy for ₹ 1,00,000 for a period of 20 years. The rate of premium is ₹ 76 and the average rate of bonus is ₹ 7 per thousand p.a. If he dies after paying 10 annual premiums, what amount will his nominee receive?

Find the amount of an ordinary annuity if a payment of ₹ 500 is made at the end of every quarter for 5 years at the rate of 12% per annum compounded quarterly. [Given (1.03)²⁰ = 1.8061]

A company decides to set aside a certain sum at the end of each year to create a sinking fund, which should amount to ₹ 4 lakhs in 4 years at 10% p.a. Find the amount to be set aside each year?
[Given (1.1)⁴ = 1.4641]

For annuity due,

C = ₹ 20,000, n = 3, I = 0.1, (1.1)^–3 = 0.7513

Therefore, P = `square/0.1 xx [1 - (1 + 0.1)^square]`

= 2,00,000 [1 – 0.7513]

= ₹ `square`

The future amount, A = ₹ 10,00,000

Period, n = 20, r = 5%, (1.025)²⁰ = 1.675

A = `"C"/"I" [(1 + "i")^"n" - 1]`

I = `5/200` = `square` as interest is calculated semi-annually

A = 10,00,000 = `"C"/"I" [(1 + "i")^"n" - 1]`

10,00,000 = `"C"/0.025 [(1 + 0.025)^square - 1]`

= `"C"/0.025 [1.675 - 1]`

10,00,000 = `("C" xx 0.675)/0.025`

C = ₹ `square`

Which of the following can’t be a component of a time series?

 Which component of time series refers to erratic time series movements that follow no recognizable or regular pattern?

Choose the correct alternative:

The following trend line equation was developed for annual sales from 1984 to 1990 with 1984 as base or zero year.

Y = 500 + 60X (in 1000 ₹). The estimated sales for 1984 (in 1000 ₹) is

Choose the correct alternative:

An overall upward or downward pattern in an annual time series would be contained in which component of the times series?

______ components of time series is indicated by a smooth line

______ component of time series is indicated by periodic variation year after year.

State whether the following statement is True or False: 

Seasonal variation can be observed over several years

Cyclical variation can occur several times in a year.

Choose the correct alternative: 

The Cost of Living Index Number by Aggregate Expenditure Method is same as

The Cost of Living Index Number by Aggregate Expenditure Method is given by ______

Calculate the Cost of Living Index Number for the following data.

Given the following table, find the Cost of living Index Number using Aggregate Expenditure Method by completing the activity.

Therefore, Cost of Living Index using Aggregate Expenditure method is

CLI = `(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx square`

= `square/square xx 100`

= `square`

Choose the correct alternative:

If LPP has optimal solution at two point, then