Direction : Study the following table and answer the questions that follow : Number of employees and monthly salary per employee in five departments of a companyDepartment Number of Employees Monthly Salary per Employee (₹) HR 40 45,000 Finance 30 60,000 Marketing 50 36,000 Administration 60 40,000 IT 20 75,000
The company’s total monthly salary expenditure on the IT department is what fraction of the total monthly salary expenditure of the company on all five departments ?
\( \frac{5}{31} \)
IT salary expenditure = \( 20 \times 75000 = 1500000 \) and the total for all five departments = ₹ 93,00,000.
Required fraction = \( \frac{1500000}{9300000} = \frac{15}{93} \).
Dividing numerator and denominator by 3: \( \frac{15}{93} = \frac{5}{31} \).
Check: \( \frac{5}{31} \times 9300000 = 1500000 \), which matches the IT expenditure.
Hence, \( \frac{5}{31} \).
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Important Questions from Fractions
Simplify the expression 441 ÷ \(\left[270 \div \frac{3}{7}+\left(17\div \frac{1}{3}\right)-\left(8\frac{1}{2}-\frac{5}{2}\right)\right]\)
Number 0.232323 can be written in rational form as:
Solve: \(\frac{1}{2}\) [{-2(2 + 3)*20}/2]
Match the following.
Column I
Column II
a.
Equivalent fraction of \(\frac{7}{12}\) is
i.
Proper fraction
b.
Equivalent fraction of \(\frac{9}{15}\) is
ii.
Improper fraction
c.
\(\frac{7}{11}\) is
iii.
\(\frac{21}{36}\)
d.
\(\frac{19}{5}\) is
iv.
\(\frac{3}{5}\)
Among the fractions \(\frac{7}{12}\) , \(\frac{8}{15}\) , \(\frac{17}{24}\) and \(\frac{13}{18}\) , which is the smallest?
