Sign in
Please select an account to continue using cracku.in
↓ →
Given $$S = \frac{3T}{2}$$.
Re-arrange to express $$T$$ in terms of $$S$$:
$$3T = 2S \; \Longrightarrow \; T = \frac{2S}{3}$$.
Now find the fraction of $$T$$ with respect to $$S+T$$:
$$\frac{T}{S+T} = \frac{\frac{2S}{3}}{S + \frac{2S}{3}}$$.
Simplify the denominator first:
$$S + \frac{2S}{3} = \frac{3S + 2S}{3} = \frac{5S}{3}$$.
Hence,
$$\frac{T}{S+T} = \frac{\frac{2S}{3}}{\frac{5S}{3}} = \frac{2}{5}$$.
Convert this fraction to a percentage by multiplying by $$100$$:
$$\frac{2}{5} \times 100 = 40\%$$.
Therefore, $$T$$ is $$40\%$$ of $$S + T$$.
Option B which is: 40%.
Create a FREE account and get:
Educational materials for CAT preparation