# 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.
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)

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)

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.

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.

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

Thanks @Naddy.

(1)

Sandeep choudhary said:
6 years ago

2s+4y=1600,

1s+6y=1600,

S=2y.

2y+6y=1600,

Y=200,

12y=12*200=2400.

1s+6y=1600,

S=2y.

2y+6y=1600,

Y=200,

12y=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)

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