BCom FY BCom Sem 2 BCom Sem 2 (2019 2020) Nov 2020 ATKT MATHS Question Paper - Mumbai University | munotes

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Questions asked in this paper

Q1 Attempt any three 15 marks
- a) Using the supply function S = P41 , find the supply when the price is 15 Also find the price when supply is 21
- b) from the given example , find the total revenue function and the total profit function. Also find the profit at the given point The demand function is P = 5 — 2x Find profit at x = 100
- c) If MR = 40, AR find price elasticity of demand
Q2 Attempt any three 15 marks
- a) if rs 5000 amounts to rs 6200 at s.i. in 4 years , find the rate of interest
- b) Find the principal ,if the compound interest payable annually at 12% per annum for 2 years is rs 2544
- c) Find the amount of an annuity of rs 6000 , payable at the end of each quarter for 2 years , the interest rate being 8% , compounded quarterly
- d) A person borrowed rs 75,000, at 12% p.a. if he wishes to return the sum within 1 year , find his EMI using (1) Interest on reducing balance
Q3 Attempt any three 15 marks
- a) Calculate the coefficient of correlation between the price and supply from the following data, and comment
- b) using spearmen's formula , find the rank correlation coefficient the given data:
- c) Two regression equation are given in the following example
- (i) Identify the regression lines and state the coefficient of
- (ii) Find the coefficient of correlation
- d) from the given bivariate data , find (i) the coefficient of regression
- (ii) the coefficient of correlation
- (iii) the equation of the line of regressions
Q4 Attempt any three 15 marks
- a) The following are the cost of living index numbers. Find out the
- b) Calculate trend values by the method of least squares from the data given below and estimate the sales for 2007
- c) Given that the Laspeyre's price index number is equal to paasche's price index number are 145.21 and 148.37 respectively, Find the Paasche's price index number
- d) The average monthly income of workers in a factory were rs 5000 in February 2007 and rs 5800 in March 2007. If the cost of living index number increased from 120 to 135. Find the percentage increase or decrease in real income over the same period
Q5 Attempt any three 15 marks
- a) An unbiased coin is tossed 4 times. Find the probability of getting (i) no
- (ii) exactly 2 heads, (iii) at most 2 head
- b) Find n and p for a binomial distribution if mean = 6 and s.d.= 2
- c) The first and third quartiles of a normal distribution are 90 and 126 respectively Find mean and standard deviation
- d) The quartile deviation of a normal distribution is 10. Its first quartile is 70 find mean, standard deviation and upper quartile

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