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 ?
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.
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.
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.
Jooly said:
1 decade ago
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.
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.
(1)
Vinitha said:
1 decade ago
Hai @Dipika, can you please explain mathematically?
(1)
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.
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.
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.
Think!
2 sarees+ 4 shirts=1600
1 sarees+ 6 shirts=1600
0 saries+ 8 shirts=1600
Now 1s=200rs
12s=2400.
(1)
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.
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
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!
Sukant said:
1 decade ago
Easy one...............
2X+4Y=X+6Y
=>X=2Y
2 saree=4 shirts
=4+4 = 8
8-1600
1-200
12-2400
2X+4Y=X+6Y
=>X=2Y
2 saree=4 shirts
=4+4 = 8
8-1600
1-200
12-2400
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