Maths / Comparing Quantities / Simple Interest

QUESTION

If a sum doubles in four years at the rate of R% per annum simple interest, then 3R= _________ .

 OPTIONS A. 30 B. 45 C. 75 D. 90
Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

Let the sum be P = Rs. 100.

As given,, P = Rs. 100, A = Rs. 200, T = 4 years.

Then, SI = A = Rs. 200 - Rs. 100 = Rs. 100

We have SI $=\frac{PTR}{100}$

$\Rightarrow 100=\frac{100\times 4 \times R}{100}\Rightarrow R=\frac{100}{4}=25\Rightarrow 3R=75$

Hence, the correct option is (c).

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