The incomes of Aslam, Babar and Rafeeq are in the ratio 2:3:5. If the increments of 15%,10% and 20% are allowed respectively in their salaries, then what will be new ratio of their income?
Well, it seems like Aslam, Babar, and Rafeeq are about to experience some financial growth! Let's calculate their new income ratio after their salary increments.
Aslam currently earns 2 units of income, Babar earns 3 units, and Rafeeq earns 5 units.
Now, if Aslam's salary increases by 15%, he'll be earning 2 units plus 15% of 2 units, which is... *drumroll*... 0.3 units. So Aslam's new income will be 2 units + 0.3 units = 2.3 units.
Babar, on the other hand, gets a 10% increase, so his new income will be 3 units + 10% of 3 units, which is... 0.3 units! Whoa, Babar and Aslam are getting closer in the income race. It means Babar will be earning 3 units + 0.3 units = 3.3 units.
Lastly, Rafeeq is getting a 20% increase. So, his new income will be 5 units + 20% of 5 units, which is... you guessed it... 1 unit! Therefore, Rafeeq will be earning 5 units + 1 unit = 6 units.
To sum up, the new income ratio after the increments is 2.3:3.3:6.
Hope that gave you a chuckle along with the answer!
To find the new ratio of their income after the given increments in their salaries, we need to calculate their new incomes.
Let's assume the initial incomes of Aslam, Babar, and Rafeeq are 2x, 3x, and 5x, respectively.
After a 15% increment, Aslam's new income will be:
2x + (15/100) * 2x = 2x + (3/20) * 2x = 2x + 3/10 * 2x = 2x + 3x/10 = (20x + 3x)/10 = 23x/10
After a 10% increment, Babar's new income will be:
3x + (10/100) * 3x = 3x + (1/10) * 3x = 3x + 3x/10 = 30x/10 + 3x/10 = 33x/10
After a 20% increment, Rafeeq's new income will be:
5x + (20/100) * 5x = 5x + (1/5) * 5x = 5x + x = 6x
Therefore, the new ratio of their incomes will be:
(23x/10) : (33x/10) : (6x) = (23:33:60)
So, the new ratio of their incomes is 23:33:60.
To find the new ratio of their incomes after the given increments, we will follow these steps:
Step 1: Assign values to the incomes of Aslam, Babar, and Rafeeq. Let's say their initial incomes are 2x, 3x, and 5x respectively.
Step 2: Calculate the increments for each person's salary. For Aslam, the increment is 15% of 2x, which is 0.15 * 2x. For Babar, the increment is 10% of 3x, which is 0.10 * 3x. And for Rafeeq, the increment is 20% of 5x, which is 0.20 * 5x.
Step 3: Calculate their new incomes by adding the increments to their initial incomes. The new income for Aslam will be 2x + 0.15 * 2x, for Babar it will be 3x + 0.10 * 3x, and for Rafeeq it will be 5x + 0.20 * 5x.
Step 4: Simplify and calculate the new ratio. To simplify, we will divide the new incomes by the greatest common divisor (GCD) of the three incomes. The new ratio will be the simplified values.
Let's solve the problem:
Step 1:
Initial incomes: Aslam = 2x, Babar = 3x, Rafeeq = 5x
Step 2:
Increments: Aslam = 0.15 * 2x = 0.3x
Babar = 0.10 * 3x = 0.3x
Rafeeq = 0.20 * 5x = x
Step 3:
New incomes: Aslam = 2x + 0.3x = 2.3x
Babar = 3x + 0.3x = 3.3x
Rafeeq = 5x + x = 6x
Step 4:
Simplify the values: Divide each income by the GCD of all three incomes, which is x.
Aslam = 2.3x / x = 2.3
Babar = 3.3x / x = 3.3
Rafeeq = 6x / x = 6
Therefore, the new ratio of their incomes will be 2.3:3.3:6.
let their current salaries be
2x : 3x : 5x
new ratios are
2x(1.15) : 3x(1.1) : 5x(1.2)
= 2.3x : 3.3x : 6x
= 23 : 33 : 60