A sum of Rs. 1360 has been divided among Atif, Babar and Aqeel such that Atif gets 2/3 of what Babar gets and Babar gets 1/4 of what Aqeel gets. Babar' s share is:
If they get shares of x,y,z, respectively, then
x = 2/3 y
y = 1/4 z
x+y+z = 1360
We want to know what y is, so substitute in for x and z:
2/3 y + y + 4y = 1360
17/3 y = 1360
y = 240
Let's assign variables to the amounts each person gets.
Let the amount Babar gets be x.
According to the given information:
Atif gets 2/3 of what Babar gets, so Atif's share is (2/3)x.
Babar gets 1/4 of what Aqeel gets, so Aqeel's share is 4x.
The total sum divided among them is Rs. 1360, so we can set up the equation:
x + (2/3)x + 4x = 1360
Combining like terms:
(1 + 2/3 + 4)x = 1360
Multiplying fractions and simplifying:
(3/3 + 2/3 + 12/3)x = 1360
(17/3)x = 1360
Dividing both sides by 17/3:
x = 1360 / (17/3)
Dividing fractions:
x = 1360 * (3/17)
Calculating:
x = 240
Therefore, Babar's share is Rs. 240.
To find out Babar's share, we need to break down the given information and calculate it step by step.
Let's assume the amount Babar gets as 'x.'
According to the given information:
Atif gets 2/3 of what Babar gets, which means Atif's share is (2/3)x.
Babar gets 1/4 of what Aqeel gets, which means Aqeel's share is 4x.
To find the total amount, we can add up the individual shares:
(2/3)x + x + 4x = 1360
Simplifying the equation,
(2/3)x + x + 4x = 1360
9x/3 + 3x/3 + 12x/3 = 1360
(9x + 3x + 12x)/3 = 1360
24x/3 = 1360
8x = 1360
Solving for x:
x = 1360/8
x = 170
So, Babar's share is Rs. 170.