Aptitude - Simplification - Discussion

Discussion Forum : 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 ?
Rs. 1200
Rs. 2400
Rs. 4800
Cannot be determined
None of these
Answer: Option
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.

Discussion:
24 comments Page 2 of 3.

Dipika said:   1 decade ago
1 saree = 2 shirts.
2 sarees + 4 shirts = 1600.
6 sarees = 1600.
1 saree = 400.
1 shirt = 200.
12 shirt = 12 * 200 = 2400.
(1)

Baiju v t said:   1 decade ago
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.
(1)

Raj said:   1 decade ago
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.
(1)

Sun said:   1 decade ago
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.

Vishal said:   1 decade ago
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:   1 decade ago
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.

Lakhan yadav said:   9 years ago
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.

Lakshmi Narayana.N said:   1 decade ago
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.

Manasa said:   1 decade ago
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

Ravi kiran said:   1 decade ago
Thanks nishanthi!


Post your comments here:

Your comments will be displayed after verification.