In a secondary school the seats for Maths, physics and social studies are in the ratio 8: 5: 7. there is a proposal to increase these seats by 75%, 40% and 50% respectively. What will be the new ratio?
5: 3: 4
4: 2: 3
10: 7: 9
1: 3: 4
Explanation:
Originally, let the number of seats for Maths, physics and social studies be 8x, 5x and 7x respectively.
No. of increased seats are (175% of 8x), (140% of 5x) and (150% of 7x).
=> (175 $\times$ 7x/100), (140 $\times$ 5x/100) and (150 $\times$ x/100) i.e. 14x, 7x and 21x/2.
$\therefore$ Required ratio = 14x: 7x: 21x/2 = 28x: 14x: 21x = 4: 2: 3.