Question

find the sum that amounts to rupees 18552 for 3/2 years at 10% P A when the interest is compounded half yearly​

Answer 1

$\large \underline{ \underline{ \rm{Given \: information : - }}}$

• ⇀ Simple Interest= Rs.18552
• ⇀ Time = 3/2 years
• ⇀ Rate of interest = 10% per annum

$\large \underline { \underline{ \rm{What \: we \: have \: to \: calculate : - }}}$

• ⇀ We have to calculate Principle

$\large \underline{ \underline{ \rm{ Using \: formula : - }}}$

$\longrightarrow \: \: \underline{\boxed{ \rm{ \blue{Simple \: interest = \dfrac{ Principle × Rate × Time }{100}}}}}$

$\large \underline {\: \underline{ \rm{Let's \: c alculate \: - - }}}$

$\longrightarrow{{ \rm{ \blue{Simple \: interest = \dfrac{ Principle × Rate × Time }{100}}}}}$

• Putting values in formula we get ,

$\longrightarrow \: \: \: \: {{ \rm{ \blue{ 18522 = \dfrac{ Principle × 10 × 3 }{100 \times 2}}}}} \\\\\\ \longrightarrow \: \: \: \: {{ \rm{ \blue{ 18522 = \frac{Principle \times 30}{200} }}}} \\\\\\ \longrightarrow \: \: \: \: {{ \rm{ \blue{ 18522 = \dfrac{Principle\times3 \cancel0}{ 20\cancel0} }}}} \\\\\\ \longrightarrow \: \: \: \: {{ \rm{ \blue{ 18522 = \dfrac{Principle \times 3}{20} }}}} \\\\\\ \longrightarrow \: \: \: \: {{ \rm{ \blue{ \dfrac{18522 \times 20}{3} =Principle }}}} \\\\\\ \longrightarrow \: \: \: \: {{ \rm{ \blue{ \dfrac{ 370440}{3} =Principle }}}} \\\\\\\ \underline{\underline{\large \: \longrightarrow \: \: \: \: {{ \rm{ \red{ Principle = Rs. \: 12,348 \: \: \: \: \: \: \: }}}}}}$

$\rule{75mm}{0.5mm} \\ \large{ \underline{\rm \: \red{Learn More :}}} \\ \\ \longrightarrow\small{\underline{\boxed{\sf{ Simple \: Interest = \dfrac{P \times R \times T}{100}}}}} \\ \\ \longrightarrow\small{\underline{\boxed{\sf{Amount={P{\bigg(1 + \dfrac{R}{100}{\bigg)}^{T}}}}}}} \\ \\ \longrightarrow\small{\underline{\boxed{\sf{Amount = Principle + Interest}}}} \\ \\ \longrightarrow\small{\underline{\boxed{\sf{ Principle=Amount - Interest }}}} \\ \\ \longrightarrow\small{\underline{\boxed{\sf{Principle = \dfrac{Amount\times 100 }{100 + (Time \times Rate)}}}}} \\ \\ \longrightarrow\small{\underline{\boxed{\sf{Principle = \dfrac{Interest \times 100 }{Time \times Rate}}}}}$

Answer 2

Answer:

Giveninformation:−

⇀ Simple Interest= Rs.18552

⇀ Time = 3/2 years

⇀ Rate of interest = 10% per annum

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⇀ We have to calculate Principle

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100

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Simpleinterest=

100

Principle×Rate×Time

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100

⟶Simpleinterest=

100

Principle×Rate×Time

Putting values in formula we get ,

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18522

=

P

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×

10

×

3

100

×

2

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18522

=

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30

200

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18522

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3

0

20

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18522

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3

20

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18522

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20

3

=

P

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370440

3

=

P

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P

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12

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⟶18522=

100×2

Principle×10×3

⟶18522=

200

Principle×30

⟶18522=

20

0

Principle×3

0

⟶18522=

20

Principle×3

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3

18522×20

=Principle

⟶

3

370440

=Principle

⟶Principle=Rs.12,348