1
Seat No.: Enrolment
GUJARAT TECHNOLOGICAL UNIVERSITY
MBA (Integrated) SEMESTER 1 • EXAMINATION WINTER 2018
Subject Code: 2517103 Date:27/12/2018
Subject Name Business Mathematics
Time: 10.30 am 01.30 pm Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1
A Find A-1
07
Explain Properties of Determinants. 07
Q.2 Use Cramer's Rule To Solve
2x 3y 4z 29
x y +2z 13
3x 2y z 16
07
Explain different types of Matrices. 07
OR
Mr. X invested Rs 20,000 in Unit Trust of India for 5 years. He received after 5
years Rs 29,000. What must be the rate of Simple Interest
07
Q.3 An agent sold in a week three scooters of three different manufacturers for Rs
30,000 Rs 42,000 and Rs 48,000 respectively. The rate of commission was
15% on 1st 10% on third scooter. On the whole the agent got a commission of
11.95%. Find his commission on 2nd scooter and total commission.
07
Explain AP GP and HP. 07
OR
Q.3 If y is the mean proportional between x and then Prove that
(X2 y2 z2) y-2 z-2 y4
07
A book seller purchase 600 copies of text books for Rs 48000 during the year
he could sell 450 copies at a profit of 30% and the remain copies which
publisher did not take back were disposed off at the loss of 25%. Find the net
profit or loss of the shop keeper in this transaction.
07
Q.4 If a,b Show that (a3 b3) (a2 b2) is greater than (a2 b2) 07
Explain third proportional and fourth proportional with example. 07
OR
Q.4 Find the two number such that the mean proportional between them is 28 and
the third proportional to them is 224.
07
Explain different types of Ratio. 07
Q.5 Explain different types of Function. 07
Solve
07
OR
Q.5
Solve
07
Explain Trade Discount and Cash Discount with example. 07