Question

3. 4000 were lent each to Rohit and Sunil at 15% per annum for 3/2 years and 5 years respectively. Find
the difference in the interest paid by them.
​

Answer 1

Question :-

• 4000 were lent each to Rohit and Sunil at 15% per annum for 3/2 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,4000
• Time = 5 years
• Rate = 15%

✯ In Case of Sunil ✯

• Principal = Rs,4000
• Time = 3/2 = 1.5 years
• Rate = 15%

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★ Simple Interest in Case of Rohit ★

${:} \longrightarrow \sf{\sf{ \: Interest \: =\: \dfrac{Principal \: \times \: Rate \: \times \: Time }{100} }}$

${:} \longrightarrow \sf{\sf{ \: Interest \: =\: \dfrac{40\cancel{00} \: \times \: 15 \: \times \: 5 }{1\cancel{00}} }}$

${:} \longrightarrow \sf{\sf{ \: Interest \: =\: 40 \: \times \: 15 \: \times \: 5 }}$

${:} \longrightarrow \sf{\sf{ \: Interest \: =\: Rs,3000 }}$

${:} \longrightarrow \sf{\bf{ \: Interest \:for \: Rohit \: =\: Rs,3000 }}$

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★ Simple Interest in Case of Sunil ★

$\longmapsto \sf{\sf{ \: Interest \: =\: \dfrac{Principal \: \times \: Rate \: \times \: Time }{100} }}$

$\longmapsto \sf{\sf{ \: Interest \: =\: \dfrac{40\cancel{00} \: \times \: 15 \: \times \: 1.5 }{1\cancel{00}} }}$

$\longmapsto \sf{\sf{ \: Interest \: =\: 40 \: \times \: 15 \: \times \: 1.5 }}$

$\longmapsto \sf{\sf{ \: Interest \: =\: Rs,900 }}$

$\longmapsto \sf{\bf{ \: Interest \:for \: Sunil\: =\: Rs,900 }}$

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★ Difference Between their Interests ★

$\dashrightarrow \sf{\sf{ \: Difference \: =\: 3000 \: - \: 900 }}$

$\dashrightarrow \sf{\sf{ \: Difference \: =\: 2100 }}$

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So, Difference between their Interests is Rs,2100

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