Question

3. 34000 were lent each to Rohit and Sunil at 15% per annum for 32 years and 5 years respectively. Find
the difference in the interest paid by them.
[1]​

Answer 1

Correct Question :-

• 34000 were lent each to Rohit and Sunil at 15% per annum for 2 years and 5 years respectively. Find the difference in the interest paid by them.

To Find :-

What is the Difference between the interest paid by Rohit and Sunil ?

Solution :-

✯ In Case of Rohit ✯

• Principal = Rs, 34000
• Time = 2 years
• Rate = 15%

✯ In Case of Sunil ✯

• Principal = Rs, 34000
• Time = 5 years
• Rate = 15%

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★ Simple Interest in Case of Rohit ★

${:} \longrightarrow \sf{\sf{ \: Interest \: =\: \dfrac{Principal \: \times \: Rate \: \times \: Time }{100} }}\\ \\ {:} \longrightarrow \sf{\sf{ \: Interest \: =\: \dfrac{34000 \: \times \: 15 \: \times \: 2 }{100} }}\\ \\ {:} \longrightarrow \sf{\sf{ \: Interest \: =\: \dfrac{340 \cancel{00} \: \times \: 15 \: \times \: 2 }{1 \cancel{00}} }}\ \\ \ \\ {:} \longrightarrow \sf{\sf{ \: Interest \: =\: 340 \: \times \: 15 \: \times \: 2 }}\\ \\{:} \longrightarrow \sf{\sf{ \: Interest \: =\: 5100\: \times \: 2 }}\\ \\ \longrightarrow \sf{\bf{ \: Interest \:for \: Rohit \: =\: Rs,10200 }}$

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★ Simple Interest in Case of Sunil ★

${:} \longrightarrow \sf{\sf{ \: Interest \: =\: \dfrac{Principal \: \times \: Rate \: \times \: Time }{100} }}\\ \\ {:} \longrightarrow \sf{\sf{ \: Interest \: =\: \dfrac{34000 \: \times \: 15 \: \times \: 5 }{100} }}\\ \\ {:} \longrightarrow \sf{\sf{ \: Interest \: =\: \dfrac{340 \cancel{00} \: \times \: 15 \: \times \: 5}{1 \cancel{00}} }}\ \\ \ \\ {:} \longrightarrow \sf{\sf{ \: Interest \: =\: 340 \: \times \: 15 \: \times \: 5 }}\\ \\{:} \longrightarrow \sf{\sf{ \: Interest \: =\: 5100\: \times \: 5}}\\ \\ \longrightarrow \sf{\bf{ \: Interest \:for \: Sunil \: =\: Rs,25500 }}$

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★ Difference Between their Interests ★

$\dashrightarrow \sf{\sf{ \: Difference \: =\: 25500 \: - \: 10200 }}\\\dashrightarrow \sf{\sf{ \: Difference \: =\: Rs,15300 }}$

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So, Difference between their Interests is Rs,15300

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Answer 2

Step-by-step explanation:

$\huge{\underline{\mathrm{Question}}}$

34000 were lent each to Rohit and Sunil at 15% per annum for 32 years and 5 years respectively. Find the difference in the interest paid by them.

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$\huge{\underline{\mathrm{To\: Find\: : }}}$

What is the Difference between the interest paid by Rohit and Sunil ?

$\huge{\underline{\blue{\mathrm{Solution\: }}}}$

$\sf\blue{ In \:Case\: of \:Rohit \: :-}$

$\sf\red{Principal = Rs, 34000 }$

$\sf\green{ Time = 2 years}$

$\sf\orange{ Rate = 15 percent}$

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$\sf\pink{ In \:Case \:of \:Sunil }$

$\sf\orange{Principal = Rs, 34000 }$

$\sf\red{ Time = 5 years}$

$\sf\green{Rate = 15 percent }$

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Simple Interest in Case of Rohit :

$\sf\red{ :⟶Interest = \frac{Principal×Rate×Time}{100} }$

$\sf\green{:⟶Interest= \frac{34000×15×2}{100} }$

$\sf\blue{ :⟶Interest=340×15×2}$

$\sf\pink{ :⟶Interest=5100×2}$

$\sf\green{ :⟶Interest\: for\:Rohit=Rs,10200}$

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Simple Interest in Case of Sunil :

$\sf\red{:⟶Interest=\frac{Principal×Rate×Time}{100}}$

$\sf\pink{ :⟶Interest= \frac{34000×15×5}{100} }$

$\sf\blue{:⟶Interest= \frac{340 00 ×15×5}{100} }$

$\sf\green{:⟶Interest=340×15×5 }$

$\sf\red{:⟶Interest=5100×5 }$

$\sf\pink{:⟶Interest\:for\:Rohit=Rs,25500 }$

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Difference Between their Interests :

$\sf\orange{⇛Difference=25500−10200}$

$\sf\blue{⇛Difference=Rs,15300 }$

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So, Difference between their Interests is Rs,15300 Thousand.