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.
Diksha Aggarwal said:
5 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.
(6)
Murali said:
1 decade ago
2 sarees+4 shirts=1600.
Then the ratio is 1:2.
Simply 1600/2=800.
Then 2 sarees cost 800.
4 shirts cost 800.
800/4=200 one shirt value is 200 only.
Then the ratio is 1:2.
Simply 1600/2=800.
Then 2 sarees cost 800.
4 shirts cost 800.
800/4=200 one shirt value is 200 only.
(3)
Dilip said:
1 decade ago
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
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
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)
Lakhan yadav said:
9 years ago
Subtract from 1 and 2 gets 1 sarees = 2 shirts.
Put into Eqn 1 and gets values of shirt which is 200.
After that 12 * 200 = 2400.
Put into Eqn 1 and gets values of shirt which is 200.
After that 12 * 200 = 2400.
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)
Naddy said:
1 decade ago
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
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
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
Sandeep choudhary said:
7 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.
(3)
Vinitha said:
1 decade ago
Hai @Dipika, can you please explain mathematically?
(1)
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