rohit spends 2/3rd of his salary on ratios, 1/5th of it on transport and 1/10th of it on rent. what part of his salary does he spend in all? what part of his salary is left as savings?
Answers
Rohit spends (29 / 30)th part of his salary in total, and (1 / 30)th part of his salary is left as savings.
• Let the total salary of Rohit be taken as 1.
• Given,
Fraction of salary spent by Rohit on ration = 2 / 3
Fraction of salary spent by Rohit on transport = 1 / 5
Fraction of salary spent by Rohit on rent = 1 / 10
• Now, total fraction of salary spent by Rohit = (2 / 3) + (1 / 5) + (1 / 10)
Taking out the L.C.M. of the denominators 3, 5 and 10, we get, 30 as the value.
Now,
{ (2 × 10) + (1 × 6) + (1 × 3) } / 30
[ Divide the L.C.M 30 by the denominator of each fraction and multiply the quotient with the respective numerator ]
= (20 + 6 + 3) / 30
= 29 / 30
∴ The total part of salary spent by Rohit = 29 / 30
• Now, the part of Rohit's salary left as savings = Total salary - Total part of salary spent by him
=> Rohit's savings = 1 - ( 29 / 30)
Or, Rohit's savings = (30 - 29) / 30
Or, Rohit's savings = 1 / 30
∴ Rohit could save (1 / 30)th part of his salary after all his expenses.
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