Question

Rohan deposited 5,000 at 8% per annum for 3 years and Sunil deposited
5,000 at 6% per annum for four years. Who will get more interest? What amount
will each get?​

Answer 1

SI for Rohan=5000×8×3

100

=50×8×3=1200

SI for Sunil=5000×6×4

100

=24×50=1200

Each get same amount

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Answer 2

Step-by-step explanation:

$\mathbb{ \underline {\bold{For \: Rohan.,}}}$

$\: \: \: </strong><strong>\: \: \:</strong><strong> \: \: \: \: \: \: \: </strong><strong> </strong><strong>\purple{P = ₹ \: 5000 \: \: \: \: \:\: \: \: \: \: \: R = 8\% } \\ \: \: \: \: \: \: \: \: { \purple{T = 3 \frac{1}{2}years \:= \frac{7}{2} years }}$

$\pink{ SI = \frac{ \: P \times R \times T}{100}} \\ \pink{ =\frac\pink{5000 \times 8 \times 7} \pink{100 \times 2}} \\ \: \pink{ =₹ \: \underline{1400} }$

$\red{Amount = 5000 + 1400 } \\ \: \: \: \: \: \: \: \: \: \: \pink{ =₹ \: 6400 }$

$\mathbb{\bold {\underline{For Sunil.,}}}$

$\: \: \: \: \: \: \: \:\purple{ P = 5000 \: \: \: \: \: \: \: \: \: \: \: \: \: \: R = 6\%} \\ \purple{ T = 4years}$

$\pink{SI = \frac{P \times R \times T}{100} } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \pink{ = \frac{5000 \times 6 \times 4}{100} } \\ \pink{ = ₹ \: 1200}$

$\red{Amount = 5000 + 1200} \\ \: \: \: \: \: \: \: \: \ \: \red{ =₹ \: 6200}$

$\blue</strong><strong>{</strong><strong>\</strong><strong>underline</strong><strong>{Answer:Rohan \: will \: get \: more \: interest. }</strong><strong>}</strong><strong>$