1.

The cost of 2 shirt and 3 pants together is rupees 1200 if if the number of shirt and pant are interchange the cost is rupees 150 less find the cost of shirt and pant.std 10. Plz answer plz plz

Answer»

Answer :

Cost of each shirt = Rs.150

Cost of each pant = Rs.300

Solution :

LET the cost of each shirt and pant be Rs.x and Rs.y respectively .

Now ,

ACCORDING to the QUESTION ,

The cost of 2 shirt and 3 pants together is Rs.1200 .

Thus ,

2x + 3y = 1200 ---------(1)

Also ,

It is given that ,

If the number of shirts and pants are interchanged , the cost is Rs.150 less .

Thus ,

=> 3x + 2y = 1200 - 150

=> 3x + 2y = 1050 --------(2)

Now ,

Multiplying eq-(1) by 2 , we get ;

=> 2(2x + 3y) = 2•1200

=> 4x + 6y = 2400 -----------(3)

Now ,

Multiplying eq-(2) by 3 , we get ;

=> 3(3x + 2y) = 3•1050

=> 9x + 6y = 3150 ---------(4)

Now ,

Subtracting eq-(3) from eq-(4) , we get ;

=> (9x + 6y) - (4x + 6y) = 3150 - 2400

=> 9x + 6y - 4x - 6y = 750

=> 5x = 750

=> x = 750/5

=> x = 150

Now ,

Putting x = 150 in eq- (1) , we get ;

=> 2x + 3y = 1200

=> 2•150 + 3y = 1200

=> 300 + 3y = 1200

=> 3y = 1200 - 300

=> 3y = 900

=> y = 900/3

=> y = 300

Hence ,

Cost of each shirt = Rs.150

Cost of each pant = Rs.300


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