In a nuclear reaction two particles A and B are formed at the different rate every microsecond When ...........

Quant (SSC) Percentage

In a nuclear reaction, two particles A and B are formed at the different rate every microsecond. When time was 0 microsecond, the ratio of particle A to particle B was 4 : 5 but when t = 1 microsecond, the ratio of particle A to particle B becomes 5 : 7. By what percent above the particle A, particle B is formed?

28%

40%

25%

12%

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Explanation:

Let the particle A is formed at the rate of x% per microsecond and the particle B is formed at the rate of y% per microsecond
Let when T = 0, then number of A particle = 4 then the number of B particle = 5
When T = 1, x% of 4 /y% of 5 = 5/7
4x /5y = 5/7
28x = 25y
x : y = 25 : 28
Therefore, let the particle A is formed at the rate of 25x% per microsecond then the particle B is formed at the rate of 28x% per microsecond
The reqd. % = (28x - 25x) x 100 /25x = 300/25 = 12%