ASSIGNMENT 2019-20
Class: - B.com - I
Subject- Business Mathematics
Time: 3Hrs. MM:75
Note: Attempt any one question in each unit. All questions carry equal marks. MM:25
Unit - 01
Q1. (A) Solve the following simultaneous equations by cross multiplication method and elimination method.
4x-3y-10=0 (10 Marks)
8x-2y-20=0
(B) Three years hence a father will be three times as old as his son, 5 years ago his age was 6 years more than 4
times that of the son. Find their ages now. (5 Marks)
OR
Q2 A dealer wishes to purchase a number of fans and sewing machines. He has only Rs. 5760 to invest and has
space at most for 20 items. A fan cost him Rs. 360 and a Sewing machine Rs. 240. His expectations is that he can
sell a fan at profit Rs. 22 and sewing machine at a profit of Rs. 18. Assuming that he can sell each item which he
purchases, how should be invest his money in order to maximize the profit? Formulate this problem as a linear
programming problem and the use ht method of graph to solve it.
(15 Marks)
Unit - 02
Q3.
(A) Simplify without use of log tables:- (7 ๐
๐ Marks)
8 ๐๐๐2โ2๐๐๐ 4
๐๐๐2
(B) Given log 54.23 = 1.7342 log 4.723 = 0.6742 Evaluate the following log (47.23)2
(5.423)3 (7 ๐
๐ Marks)
OR
Q4. (A) If
(7 ๐
๐ Marks)
Find the value of AB. Is AB=BA.
Show that (๐๐ผ +๐๐ธ)3 = ๐3๐ผ+ 3๐2bE
(7 ๐
๐ Marks)
Unit - 03
Q5. (A) The compound Interest on a certain sum for 2 years is Rs 920.25 and simple Interest is Rs 900. The
annual rate of Interest is the same in both circumstances, what is the rate of Interest and the principal.
(7 ๐
๐ Marks)
(B) Find the amount and present value of an annuity due of RS. 150 for five years at the rate of 5% per annum
compounded annually. (7 ๐
๐ Marks)
A=
1 2 3
4 5 6
B=
2 3 1
5 4 3
2 1 1
( B) I =
1 0
0 1
E =
0 1
0 0
