# Aptitude - Simplification - Discussion

### Discussion :: Simplification - General Questions (Q.No.5)

5.

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

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: (Oct 7, 2010) 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+4*200 = 1600 => 2s=800 i.e; 1 saree cost 400. and now we want 12shirts cost. So 200*12 = 2400. Hope you understood.

 Nishanthi said: (Jan 12, 2011) 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: (Jan 15, 2011) 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: (Jan 28, 2011) 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: (Mar 18, 2011) Easy one............... 2X+4Y=X+6Y =>X=2Y 2 saree=4 shirts =4+4 = 8 8-1600 1-200 12-2400

 Ravi Kiran said: (Oct 4, 2011) Thanks nishanthi!

 Manasa said: (Oct 11, 2011) 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: (Jan 7, 2012) 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=2*200=400 Cost of 12 shirts = 12*200 = 2400.

 Raj said: (Oct 27, 2012) May be this is also useful Think! 2 sarees+ 4 shirts=1600 1 sarees+ 6 shirts=1600 0 saries+ 8 shirts=1600 Now 1s=200rs 12s=2400.

 Baiju V T said: (Nov 22, 2012) Simple. 2 sarees + 4 shirts =1600. 400*2=800 and 200*4=800, 800+800 =1600. 1 saree + 6 shirts=1600. 400*1=400 and 200*6=1200. 400+1200=1600 (one saree prize is 400 and one shirt prize is 200). So the prize of the 12 shirts are. 200*12=2400.

 Dipika said: (May 23, 2013) 1 saree = 2 shirts. 2 sarees + 4 shirts = 1600. 6 sarees = 1600. 1 saree = 400. 1 shirt = 200. 12 shirt = 12 * 200 = 2400.

 Vinitha said: (Feb 3, 2014) Hai @Dipika, can you please explain mathematically?

 Jooly said: (Jun 11, 2014) let X denotes saree and y denotes Shirt. From the question, 2x+4y = 1600 ..........(1). x+6y =1600 ..............(2). From eqn (1) and (2). 2x+4y = x+6y 2x-x = 6y-4y or x = 2y..................(3). Put the value of x in eqn (2). 2y+6y = 1600. 8y =1600. y =200. Put the value of y in eqn (3) we get the value of saree that is : x = 2y = 400. 1 saree = 400. 1 shirt = 200. 12 shirt = 12 * 200 = 2400.

 Vishal said: (Oct 5, 2014) Given 2 sarees & 4 shirts= 1600 ......(1). With same many he can buy 1 saree & 6 shirts. Therefore 1 saree cost = 2 shirts cost. Hence 2 saree = 4 shirts. In (1) 8 shirts = 1600. 1 shirt = 200. 12 shirts = 2400.

 Aparna said: (Jul 16, 2015) 2 sarees + 4 shirts = 1600 equation1*6 = 12 sarees + 24 shirts = 9600. 1 saree + 6 shirts = 1600 equation2*4 = 4 sarees + 24 shirts = 6400. 8 sarees = 3200. 1 saree = 400. Is this process is correct or wrong if wrong can you tell me why it is wrong so that I will come to know please help me to get the answer.

 Murali said: (Aug 27, 2015) 2 sarees+4 shirts=1600. Then the ratio is 1:2. Simply 1600/2=800. Then 2 sarees cost 800. 4 shirts cost 800. 800/4=200 one shirt value is 200 only.

 Lakhan Yadav said: (Oct 21, 2016) Subtract from 1 and 2 gets 1 sarees = 2 shirts. Put into Eqn 1 and gets values of shirt which is 200. After that 12 * 200 = 2400.

 Sandeep Choudhary said: (May 12, 2018) 2s+4y=1600, 1s+6y=1600, S=2y. 2y+6y=1600, Y=200, 12y=12*200=2400.

 Venkat said: (Feb 12, 2019) Thanks @Naddy.

 Ameer said: (Mar 19, 2019) Thank you @Sandeep Choudhary.

 Sonu Ansari said: (Jun 15, 2019) 2 sari +4 shirt = 1600. 1 sari + 6 shirt = 1600. It means when one sari decreased than 2 more shirts can be bought So; 1 sari + 6 shirts can be equal to 8 shirts. 8 shirt=1600, 1 shirt =200, Now cost of 12 shirts =12*200 = 2400.

 Diksha Aggarwal said: (May 28, 2020) Let the price of saree and shirt be x and y. 2x + 4y =1600, x+6y= 1600, 2(x+6y=1600) => 2x + 12y=3200. 8y=1600, y=1600/8, y=200, 12*200, Price = 2400.

 Parveen Sathik said: (Nov 22, 2020) Thank you @Diksha.