A typist charges Rs. 145 for typing 10 english pages and 3 Hindi pages, while charges for 3 english and 10 hindi are Rs. 180. Using matrices, find the charges of typing 1 english page and 1 hindi page separately.
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Let the cost of typing 1 English page be x.
The cost of typing 1 hindi page be y.
Then 10x+3y=145... (1)×10
3x+10y=180. ... (2)×3
from 1 and 2 we get
100x+30y=1450
9x+30y= 540
- - -
by solving we get
91x=910
×=910/91
×=10
(1) 10x+3y=145
10 (10)+3y=145
3y=145-100 =45
y=45/3=15
So x=10 and y=10y800a4500450454550an5454545505.
The cost of typing 1 hindi page be y.
Then 10x+3y=145... (1)×10
3x+10y=180. ... (2)×3
from 1 and 2 we get
100x+30y=1450
9x+30y= 540
- - -
by solving we get
91x=910
×=910/91
×=10
(1) 10x+3y=145
10 (10)+3y=145
3y=145-100 =45
y=45/3=15
So x=10 and y=10y800a4500450454550an5454545505.
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