Mr Aslam spends 1/3 of his salary on personal affairs, then gives half of the remaining amount for household purpose and finally he invested 75% of final remaining amount for emergency. If he has 1000 in hand now, what is his total salary?
Right so 1/3 of his income goes on personal affairs leaving 2/3 left. He uses half of this (1/3) on household which leaves 1/3 left. He then invests 75% of the remaining 1/3 leaving 25% of that 1/3 in his hand. (1/3) x 0.25 = 0.083. So 8.33% of his initial salary equals the 1000 he now has. 100/8.33=12 and 1000*12= 12,000
Answer is £12,000
How?
has S
then (2/3) S
then (2/6) S
then (1/4) (2/6)S
so
S/12 = 1000
S = 12,000
Beautiful Jamie :)
Nice explanation !
Thank you:)
To find Mr. Aslam's total salary, we need to work backwards from the amount he has in hand currently.
Let's start by determining the amount Mr. Aslam has after investing 75% of the final remaining amount for emergencies. Since he currently has 1000, this amount represents 25% of the final remaining amount.
Let's represent the final remaining amount as X.
Thus, we can set up the equation:
25% of X = 1000
To solve this equation, we need to convert 25% to a decimal. Divide 25 by 100, which gives us 0.25.
0.25 * X = 1000
Now, we can isolate the variable X by dividing both sides of the equation by 0.25:
X = 1000 / 0.25
Evaluating this expression gives us:
X = 4000
So the final remaining amount is 4000.
Next, let's determine the amount Mr. Aslam has after giving half of the remaining amount for household purposes. Since he currently has 4000, this amount represents 50% of the remaining amount.
Let's represent the remaining amount as Y.
Thus, we can set up the equation:
50% of Y = 4000
To solve this equation, we need to convert 50% to a decimal. Divide 50 by 100, which gives us 0.5.
0.5 * Y = 4000
Now, we can isolate the variable Y by dividing both sides of the equation by 0.5:
Y = 4000 / 0.5
Evaluating this expression gives us:
Y = 8000
Therefore, the remaining amount after household expenses is 8000.
Finally, let's determine Mr. Aslam's total salary. He spends 1/3 of his salary on personal affairs and has 8000 remaining.
Let's represent Mr. Aslam's total salary as Z.
Thus, we can set up the equation:
(2/3) * Z = 8000
We multiply by (2/3) because he spends 1/3 and has 2/3 remaining.
To solve this equation, we need to isolate the variable Z by dividing both sides of the equation by (2/3):
Z = 8000 / (2/3)
Dividing by a fraction is equivalent to multiplying by its reciprocal, so we can rewrite this as:
Z = 8000 * (3/2)
Evaluating this expression gives us:
Z = 12000
Therefore, Mr. Aslam's total salary is 12000.