Seats for Mathematics, Physics and Biology in a school are in the ratio \( 5 : 7 : 8.\) There is a proposal to increase these seats by \(40\)%, \(50\)% and \(75\)% respectively. What will be the ratio of increased seats?
Answer: C
Let the number of seats for Mathematics, Physics and Biology be \(5x, 7x\) and \(8x\)
Number of increased seats are \((140\)% of \(5x),\) \((150\)% of \(7x)\) and \((175\)% of \(8x).\)
\(\Rightarrow (\frac{140}{100} \times 5x), (\frac{150}{100} \times 7x)\) and \((\frac{175}{100} \times 8x)\)
\(\Rightarrow 7x, \frac{21x}{2}\) and \(14x.\)
\(\therefore\) The required ratio \(= 7x : \frac{21x}{2} : 14x\)
\(\Rightarrow 14x : 21x : 28x\)
\(\Rightarrow 2 : 3 : 4.\)