# 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 3 of 3.

a=sarees
b=shirts

2a+4b=1600...(1)
a+6b=1600...(2)

(2)*2 = 2a+12b=3600

(2)-(1)
2a+12b=3600
2a+4b=1600
8b=1600
b=200

12(200)=2400

2x+4y=1600...1
2x+4y=x+6y
x=2y....2
sub in ....1
2(2y)+4y =1600
8y=1600
y=200

so for 12 shirts, 12(200)=2400

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.

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.