A) 2 : 3 : 4
B) 6 : 8 : 9
C) 6 : 7 : 8
D) None of these.
Correct Answer: A
Solution :
[a] Let the number of seats for mathematics, physics and biology be 5x, 7x and 8x respectively. No of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x) i.e. \[\left( \frac{140}{100}\times 5x \right),\,\,\,\left( \frac{150}{100}\times 7x \right)\] and \[\left( \frac{175}{100}\times 8x \right)\] i.e. \[7x,\frac{21}{2},14x\] \[\therefore \] Required ratio \[7x:\frac{21}{2}x:14x\] i.e. \[14x:21x:28x\] = 2 : 3 : 4
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