Question

EXERCISE 10.1 1. Find simple interest and the amount when principal = 9600, rate = 3.5% p.a. and time = 3 months ​

Answer 1

||GIVEN||

• Principal = ₹9600
• Time = 3
• Rate of Interest = 3.5%

||TO FIND||

• Simple Intrest.
• Amount.

||SOLUTION||

3 months in 1 year [12 Months]

$\frac{3}{12} \\ 0.25$

$\boxed{\sf{\star\;SI = \frac{PTR}{100}}}$

$\frac{9600 \times 0.25 \times 3.5}{100} \\ 96 \times 0.25 \times 3.5 \\ 96 \times 0.875 \\ 84$

Simple Intrest

• $\longmapsto\;{\bold{₹84}}$

$\boxed{\sf{\star\; Amount = Principal+SI}}$

$9600 + 84 \\ 9684$

Amount

• $\longmapsto\;{\bold{₹9684}}$

$\tt{@MrMonarque}$

Hope It Helps You ✌️

Answer 2

GIVEN :-

☞ Principal = ₹9600

☞ Time = 3 months or 0.25 Years

☞ Rate of Interest = 3.5%

TO FIND :-

☞ Simple Interest

☞ Amount

SOLUTION :-

There are 12 months in 1 year.

So we have convert months into years.

3 months = $\sf\frac{3}{12} = 0.25 \: Years$

Formula for Simple Interest,

$\fbox{ \sf SI\: = \frac{PRT}{100}}$

Here,

SI = Simple Interest

P = Principal

R = Rate

T = Time

$\sf \frac{9600 \times 0.25 \times 3.5}{100}$

$\sf = 96 \times 0.25 \times 3.5$

$\sf \: = 96 \times 0.875$

$\sf = 84$

∴ Simple Interest is ₹84.

Formula for Amount,

$\fbox{\sf Amount = Principal + SI}$

Here,

SI = Simple Interest

$\sf 9600 + 84$

$\sf = 9684$

∴ Amount is ₹9684.

$\fbox \orange {\sf @IIMrVelvetII}$

$\fbox\green{\sf Thank You!!!}$