How many statements are useful for find this : rate of interest percent p.a. ? Statements: I .

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How many statements are useful for find this :

What is the rate of interest percent $p.a.$?

$Statements:$

$I$. The difference between the compound interest and simple interest earned in two years on the amount invested is ₹ $100$.

$II$. The amount becomes ₹ $19,500$ in three years on simple interest.

$III$.The simple interest accrued in two years on the same amount at the same rate of interest is ₹ $3,000$.

A

Only $I$ and $II$

B

Only $I$ and $III$

C

Only $II$ and $III$

D

Only $I$ and either $II$ or $III$

Solution

(c) Using statement II and III we can find the answer.

III. SI for 2 years $=₹ 3000$ 1 year $=₹ 1500$

3 years $=₹ 4500$

II. Amount $= P + SI$

$19500= P +4500$

$19500= P +4500$

$P =15000$

$\therefore r=\frac{1500}{15000} \times 100$

$r=10 \%$

Standard 13

Quantitative Aptitude

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