Question

At what rate percent per annum will Rs640 amount to Rs 896 in 8 years?​

Answer 1

⇝Given :-

• Principle = Rs.640
• Time = 8 years
• Amount = Rs.896

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⇝To Find :-

• Rate = ?

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⇝We know that :

${\large{\red{\bigstar \: \: {\blue{\underbrace{\underline{\orange{\bf{S.I = Amount - Principle }}}}}}}}}$

${\large{\red{\bigstar \: \: {\blue{\underbrace{\underline{\orange{\bf{S.I = \frac{p \times r \times t}{100} }}}}}}}}}$

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⇝Solution :-

❒ First finding S.I :

${\large{:{\longmapsto{\bf{S.I = Amount - Principle}}}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\large{:{\longmapsto{\bf{896 - 640}}}}}$

$\: \: \: \: \: \: \: \: \: \: \: {\large{\red{\dashrightarrow}}{\underline{\underline{\orange{\bf{Rs.256}}}}}}$

❒ Now Rate :

${\large{:{\longmapsto{\bf{S.I = \frac{p \times r \times t}{100} }}}}}$

${\large{:{\longmapsto{\bf{256 = \frac{640 \times r \times 8}{100} }}}}}$

${\large{:{\longmapsto{\bf{256 \times 100 = 640 \times r \times 8 }}}}}$

${\large{:{\longmapsto{\bf{ {\cancel\frac{25600}{8}} = 640 \times r }}}}}$

${\large{:{\longmapsto{\bf{ R= {\cancel\frac{3200}{640} } }}}}}$

${\large{\purple{:{\longmapsto{\underline{\overline{\boxed{\bf{R = 5\%}}}}}}}}}$

❒ Therefore :

${\large{\underline{\pink{\pmb{{\underline{\mathfrak{Rate = 5\%}}}}}}}}$

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Answer 2

Step-by-step explanation:

⇝Given :-

Principle = Rs.640

Time = 8 years

Amount = Rs.896

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⇝To Find :-

Rate = ?

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⇝We know that :

{\large{\red{\bigstar \: \: {\blue{\underbrace{\underline{\orange{\bf{S.I = Amount - Principle }}}}}}}}}★

S.I=Amount−Principle

{\large{\red{\bigstar \: \: {\blue{\underbrace{\underline{\orange{\bf{S.I = \frac{p \times r \times t}{100} }}}}}}}}}★

S.I=

100

p×r×t

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⇝Solution :-

❒ First finding S.I :

{\large{:{\longmapsto{\bf{S.I = Amount - Principle}}}}}:⟼S.I=Amount−Principle

\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\large{:{\longmapsto{\bf{896 - 640}}}}}:⟼896−640

\: \: \: \: \: \: \: \: \: \: \: {\large{\red{\dashrightarrow}}{\underline{\underline{\orange{\bf{Rs.256}}}}}}⇢

Rs.256

❒ Now Rate :

{\large{:{\longmapsto{\bf{S.I = \frac{p \times r \times t}{100} }}}}}:⟼S.I=

100

p×r×t

{\large{:{\longmapsto{\bf{256 = \frac{640 \times r \times 8}{100} }}}}}:⟼256=

100

640×r×8

{\large{:{\longmapsto{\bf{256 \times 100 = 640 \times r \times 8 }}}}}:⟼256×100=640×r×8

{\large{:{\longmapsto{\bf{ {\cancel\frac{25600}{8}} = 640 \times r }}}}}:⟼

8

25600

=640×r

{\large{:{\longmapsto{\bf{ R= {\cancel\frac{3200}{640} } }}}}}:⟼R=

640

3200

{\large{\purple{:{\longmapsto{\underline{\overline{\boxed{\bf{R = 5\%}}}}}}}}}:⟼

R=5%

❒ Therefore :

{\large{\underline{\pink{\pmb{{\underline{\mathfrak{Rate = 5\%}}}}}}}}

Rate=5%

Rate=5%

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