Page 127 - DMTH201_Basic Mathematics-1

Basic Mathematics – I

Notes
(e) 2x y z 2
x 2y z 5
x y 2z 3

3. The following table gives the price per share of two companies A and B during the months
of March and April and it also gives the amount in rupees invested by Rakesh during these
two months for the purchase of shares of the two companies.
Months Company and value Total amount
per share invested
A B
March 12 5 116
April 10 9 116

Find the shares of A and B.

4. The cost of 5 kg of Rice, 2 kg of Sugar and 5 kg of Wheat is 23. The cost of 4 kg of Rice,
4 kg of Sugar and 2 kg of Wheat is 19. The cost of 3 kg of Rice, 2 kg of Sugar and 4 kg of
Wheat is 18. Find the rate per kg of each of these commodities.
5. There are two families A and B. There are 2 men, 3 women and 1 child in family A and
1 man, 1 woman and 2 children in family B. The recommended daily allowance for calories
is:

Calories Proteins
Men 2400 55 gms
Women 1900 45 gms
Children 1800 33 gms

Represent the above information in the matrix form and calculate the total requirement of
calories and proteins for each of the two families.
6. The cost of 2 kg of Wheat and 1 kg of Sugar is 7. The cost of 1 kg of Wheat and 1 kg of Rice
is 7. The cost of 3 kg of Wheat, 2 kg of Sugar and 1 kg of Rice is 17. Find the cost of each
per kg.

7. Find the value of the following determinants:

1 3 2
3 9 5
(a)
1 3 2

1 0 0
4 5 -1
(b)
5 6 3

Answers: Self Assessment

1. (b) 2. (a)
3. (c) 4. (b)

5. (a) 6. Determinant

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