Page 123 - DMTH201_Basic Mathematics-1

Basic Mathematics – I

Notes
100 110 120
300 600 800
PQ 90 80 70
250 700 1000
80 70 80
30000 54000 64000 33000 48000 56000 36000 42000 64000

25000 63000 80000 27500 56000 70000 30000 49000 80000

Mysore Mangalore Kolar
148000 137000 142000 A
168000 153500 179000 B

A has to send his supply in order to Mysore and B has to send his supply in order to Kolar to get
maximum gross receipts.

Example: If 15 kgs of commodity A and 17 kgs of commodity B together costs 241 and
25 kgs of A and 13 kgs of B together costs 279; find the prices of each per kg by using Cramer’s
Rule method.

Solution:
Let prices of commodities A and B be x and y per kg respectively.
15x 17y 241 and 25x 13 y 279

15 17
195 425 230 0
25 13

241 17
3133 4743 1610
1
279 13
15 241
4185 6025 1840
2
25 279
1610
x 1 7
230

1840
y 2 8
230
the price of commodity A is 7 per kg. and the price of commodity B is 8 per kg.

Example: The price of 2 kgs of Rice and 5 kgs of Wheat is 85 and price of 3 kgs of Rice
and 8 kgs of Wheat is 132. Find the prices of Rice and Wheat using Cramer’s Rule.
Solution:
Let the price of Rice be x per kg and the price of Wheat be y per kg.

it is given that

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