Aptitude - Simplification - Discussion

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- (Proverb)

The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ?

[A].	Rs. 1200	[B].	Rs. 2400
[C].	Rs. 4800	[D].	Cannot be determined
[E].	None of these

Answer: Option C

Explanation:

Let the price of a saree and a shirt be Rs. x and Rs. y respectively.

Then, 2x + 4y = 1600 .... (i)

and x + 6y = 1600 .... (ii)


Divide equation (i) by 2, we get the below equation. 

=> x +  2y =  800. --- (iii)

Now subtract (iii) from (ii)

 x +  6y = 1600  (-)
 x +  2y =  800  
----------------
      4y =  800
----------------

Therefore, y = 200.

Now apply value of y in (iii)

=>  x + 2 x 200 = 800

=>  x + 400 = 800

Therefore x = 400

Solving (i) and (ii) we get x = 400, y = 200.

Cost of 12 shirts = Rs. (12 x 200) = Rs. 2400.

Sun said: (Thu, Oct 7, 2010 04:08:18 AM)

2Sarees+4shirts=1600----equation(1) 1saree+6shirts=1600------equation(2) Since it has been given that same amount. Now solve these equations 2s+4shirts=1600 2s+12shirts=3200 (multiply by 2 to solve) Now we get 8 shirts = 1600 i.e; 1 shirt = 200 and 2 s+4200 = 1600 => 2s=800 i.e; 1 saree cost 400. and now we want 12shirts cost. So 20012 = 2400. Hope you understood.

Nishanthi said: (Wed, Jan 12, 2011 08:48:54 AM)

Let, Number of saree=x Number of shirt=y Given, 2x+4y=1600 & x+6y=1600 So solving the above equations: 1-> 2x+4y=1600 2-> 2x+12y=3200 [Mul equ 2 by 2] _____________ -8y=-1600 _____________ So, y=200 Then we have to find 12 shirts Rs (i.e,)=12y=12*200=2400.

Naddy said: (Sat, Jan 15, 2011 06:30:56 AM)

2x+4y=1600...1 2x+4y=x+6y x=2y....2 sub in ....1 2(2y)+4y =1600 8y=1600 y=200 so for 12 shirts, 12(200)=2400

Dilip said: (Fri, Jan 28, 2011 11:24:26 AM)

a=sarees b=shirts 2a+4b=1600...(1) a+6b=1600...(2) (2)*2 = 2a+12b=3600 (2)-(1) 2a+12b=3600 2a+4b=1600 8b=1600 b=200 12(200)=2400

Sukant said: (Fri, Mar 18, 2011 01:04:40 AM)

Easy one............... 2X+4Y=X+6Y =>X=2Y 2 saree=4 shirts =4+4 = 8 8-1600 1-200 12-2400

Ravi Kiran said: (Tue, Oct 4, 2011 06:35:21 PM)

Thanks nishanthi!

Manasa said: (Tue, Oct 11, 2011 03:01:10 PM)

2saree+4shirt=1600 ........(1) 1saree+6shirt=1600 ........(2) then 1saree-2shirt=0 =>1sharee=2shirt then from equation (1), 4shirt+4shirt=1600 =>8shirt=1600 =>1shirt=200 =>12shirt=2400

Lakshmi Narayana.N said: (Sat, Jan 7, 2012 06:36:42 PM)

We equal the both equations then we get 2x+4y=x+6y 2x-x=6y-4y x=2y Then substitute this in equation we get 2y+6y=1600 8y=1600 y=200 x=2y x=2200=400 Cost of 12 shirts = 12200 = 2400.

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