# 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
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 1 of 3.

Singye said:   2 years ago
It can be also solved as

Let the cost of the saree and shirts be x and y respectively.

Given;
2x+4y = 1x+6y.

Solving
X = 2y.
Now substitute the above value in 2x + 4y = 1600.
2(2y) + 4y = 1600,
4y + 4y = 1600,
Therefore, y = 200,
12*200 = 2400.
(14)

Sonu Ansari said:   5 years ago
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.
(8)

Diksha Aggarwal said:   4 years ago
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.
(3)

Jooly said:   10 years 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.
(1)

Parveen Sathik said:   4 years ago
Thank you @Diksha.
(1)

Venkat said:   5 years ago
(1)

Sandeep choudhary said:   6 years ago
2s+4y=1600,
1s+6y=1600,
S=2y.
2y+6y=1600,
Y=200,
12y=12*200=2400.
(1)

Hai @Dipika, can you please explain mathematically?
(1)

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)