Question

out of his salary Rohan spent 1 by 5 on rent 1 by 3 on food and 1 by 6 on cloth what fraction of his salary does he save.?​

Answer 1

Answer:

3/10

Step-by-step explanation:

for eg his salary os 300 1/5=60,1/3=100,remaining 90,90/300=3/10

Answer 2

The fraction of Rohan’s salary he saves is 3/10.

Step-by-step explanation:

Let’s assume Rohan’s salary i.e., his income be Rs. “x”

Fraction of his salary spent on rent = $\frac{x}{5}$

Fraction of his salary spent on food = $\frac{x}{3}$

Fraction of his salary spent on cloth = $\frac{x}{6}$

∴ The fraction of total expenditure from Rohan’s salary is,

= $\frac{x}{5} + \frac{x}{3} + \frac{x}{6}$

= $\frac{6x + 10x + 5x}{30}$

= $\frac{21x}{30}$

Thus,

The fraction of his salary that he will save is,

= Income – Expenditure

= x – $\frac{21x}{30}$

= $\frac{30x - 21x}{30}$

= $\frac{9x}{30}$

= $\frac{3x}{10}$

= $\frac{3}{10}$th of his salary

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