Question

find the simple interest on ₹5000 for 2 1/2 year at a rate of 7 2/3% pa​

Answer 1

si = 50 X 23/3 X 2.5 = 960 rs. approx

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Answer 2

${\large{\boxed{\underline{\mathrm{\bf{\orange{Given:-}}}}}}}$

• Principal = ₹5,000
• Time = ${\mathsf{2\dfrac{1}{2} \ years}}$
• Rate of Interest = ${\mathsf{7\dfrac{2}{3}\%}}$

${\large{\boxed{\underline{\mathrm{\bf{\red{To \ Find:-}}}}}}}$

• Simple Interest

${\large{\boxed{\underline{\mathrm{\bf{\pink{Formula \ Used:-}}}}}}}$

${\pink{\bigstar}} \ {\boxed{\tt{\green{S.I. = \dfrac{P \times R \times T}{100}}}}} \ {\pink{\bigstar}}$

Where,

• S.I. = Simple Interest
• P = Principal i.e. ₹5,000
• R = Rate of Interest i.e. ${\mathsf{7\dfrac{2}{3}\%}}$
• T = Time i.e. ${\mathsf{7\dfrac{2}{3}\%}}$

${\large{\boxed{\underline{\mathrm{\bf{\blue{Solution:-}}}}}}}$

• Principal = ₹5,000
• Time = ${\mathsf{2\dfrac{1}{2} \ years}}$
• Rate of Interest = ${\mathsf{7\dfrac{2}{3}\%}}$

______________________________

${\mathsf{2\dfrac{1}{2} \ years = \dfrac{5}{2} \ years}}$

${\mathsf{7\dfrac{2}{3}\% = \dfrac{23}{3}\%}}$

______________________________

According to the question by using the formula of Simple Interest, we get,

$\longmapsto {\mathsf{S.I. = \dfrac{5,000 \times 23 \times 5}{100 \times 3 \times 2}}}$

$\longmapsto {\mathsf{S.I. = \dfrac{50 \times 23 \times 5}{3 \times 2}}}$

$\longmapsto {\mathsf{S.I. = \dfrac{5750}{6}}}$

$\longmapsto {\mathsf{S.I. =958.{\overline{33}}}}$

${\orange{\bigstar}} \ \therefore {\boxed{\underline{\mathsf{\green{Simple \ Interest}{\red{ \ is \ }{\blue{\bf{Rs. 958.{\overline{33}}}}}}}}}} \ {\orange{\bigstar}}$