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

and *x* + 6*y* = 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.
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.

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)

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.

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:
1 decade ago

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.

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.

Aparna said:
9 years 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.

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.

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.

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)

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)

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.

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)

Vishal said:
10 years 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.

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

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.

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