Question 32

The numbers of students studying Physics, Chemistry and Zoology in a college were in the ratio 4 : 3 : 5 respectively. If the number in these three disciplines increased by 50%, 25% and 10% respectively in the next year, then what was the new respective ratio?

Solution

Let the number of student in Physics, Chemistry and Zoology be 4x, 3x and 5x respectively

New number of Physics student = 4x*(1+$$\frac{50}{100}$$) = 6x

New number of Chemistry student = 3x*(1+ $$\frac{25}{100}$$) = $$\frac{15x}{4}$$

New number of Zoology student = 5x * (1 + $$\frac{10}{100}$$) = $$\frac{11x}{2}$$

Required ratio is $$6$$ : $$\frac{15}{4}$$ : $$\frac{11}{2}$$

Multiplying overall by 4, answer is 24:15:22 


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