Question

Rs. 750 invested for 3 months gave an interest of Rs. 18. What was the simple rate of interest per annum?

A) 9.6% B) 2.4% C) 7.2% D) 12%

Answer 1

Answer:

(A) 9.6% p.a

Step-by-step explanation:

Given,

Principal, p = ₹ 750

Time, t = 3/12 = 1/4 yr

Simple Interest, S.I = ₹ 18

To find the, rate of interest p.a (r).

We know that,

S.I = p×r×t/100

Substituting the values, we get,

=> 18 = 750 × 1/4 × r/100

=> 18×100 = 750r/4

=> r = 18 × 100 × 4/750

=> r = 18 × 4 × 4/30

=> r = 6 × 4 × 4/10

=> r = 24×4/10

=> r = 96/10

=> r = 9.6

Hence, correct answer is (A) 9.6% p.a

Answer 2

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Rs. 750 invested for 3 months gave an interest of Rs. 18. What was the simple rate of interest per annum?

A) 9.6% B) 2.4% C) 7.2% D) 12%

______________________

${ \huge{ \bold{ \underline{ \underline{ \red{Answer:-}}}}}}$

✎Given :

• Principle(p) = ₹750
• Simple Interest(S.I.) = ₹18
• Time(t) = 3/12 = 1/4 year

✎To Find :

• Rate of Interest per annum(r) =?

✎Formula Used :

$\implies{{ \small{ \boxed{ \bold{ \bold{ \orange{S.I=\dfrac{Principle\times{Rate}\times{Time}}{100}}}}}}}}$

✎By Putting Given Values :

$\implies{18=\dfrac{750\times{R}\times{1}}{100\times{4}}}$

$\implies{18\times{100}\times{4}=750R}$

$\implies{7200=750R}$

$\implies{R=\cancel\dfrac{7200}{750}}$

$\implies{Rate=9.6}$

✎Therefore, Option A) 9.6 is correct.....