The monthly charges of a hostel consist of a fixed part and a variable part depending on the number of students. For 25 students, the total bill is ₹17,500. For 40 students, the total bill is ₹25,000. What is the total bill for 60 students?
₹35,000
Let fixed part be F and variable part per student be V. For 25 students: \(F+25V=17500\). For 40 students: \(F+40V=25000\).
Subtracting: \(15V=7500 \Rightarrow V=500\). Then \(F=17500-25\times500=5000\).
For 60 students: \(F+60V = 5000+30000 = 35000\).
Hence, the total bill for 60 students is ₹35,000.
If $2x - 3y = -1$ and $\frac{x}{x+y} = \frac{7}{12}$, then the value of $2xy$ is:
What is the solution of the following equations ?
2x + 3y = 12 and 3x − 2y = 5
Two positive numbers differ by 1280. When the greater number is divided by the smaller number, the quotient is 7 and the remainder is 50. The greater number is:
When 5 children from class A join class B, the number of children in both classes is the same. If 25 children from B, join A, then the number of children in A becomes double the number of children in B. The ratio of the number of children in A to those in B is:
If (x + 6y) = 8, and xy = 2, where x > 0, what is the value of (x 3+ 216y 3)?
If 8k 6+ 15k 3– 2 = 0, then the positive value of \(\left( {{\rm{k}}\,{\rm{ + }}\,\frac{1}{{\rm{k}}}} \right)\) is :