Question

AO 2. A man deposited * 3,000 for 2 years with simple interest in a bank at the rate of 10 p.c.p.a. How much money will he get back after 2 years? (A) * 300 (B) 600 (C) * 3,300 (D) 3,600​

Answer 1

Answer :

(D) 3,600​

Given :

• Principal = 3,000
• Rate = 10%
• Time = 2 years

To find :

• how much money will he get back after 2 years?

Solution :

⇒ Let's find the Simple Interest.

$\longrightarrow \sf Simple \: Interest =\dfrac{p \times r \times t}{100}$

Here,

• P = 3,000
• R = 10
• T = 2

$\longrightarrow \sf Simple \: Interest =\dfrac{p \times r \times t}{100}$

$\longrightarrow \sf \dfrac{3000 \times 10 \times 2}{100}$

$\longrightarrow \sf \dfrac{3000 \times 20}{100}$

$\longrightarrow \sf \dfrac{30 \not0 \not0 \times 20}{1 \not 0 \not 0}$

$\longrightarrow \sf \dfrac{30 \times 20}{1 }$

$\longrightarrow \sf \dfrac{600}{1 }$

$\longrightarrow \sf 600$

∴ Simple Interest is 600.

⇒ Let's find the Amount.

$\sf \longrightarrow Amount = Principal + Simple \: Interest$

$\sf \longrightarrow Amount = 3000 + 600$

$\sf \longrightarrow Amount = 3600$

• Therefore, the Amount is 3,600​.

Answer 2

Question :-

A man deposited * 3,000 for 2 years with simple interest in a bank at the rate of 10 p.c.p.a. How much money will he get back after 2 years?

(A) 300

(B) 600

(C) 3,300

(D) 3,600

Solution :-

We have,

• Principal = 3000₹
• Rate = 10%
• Time = 2 years

Need to find

• How much money will he get back after 2 years, means we need to find is Amount .

Let's Find the first Simple Interest

• $\sf{SI=\frac{P × N× R}{100}}$

Now,

$\sf:\longmapsto{ \frac{30 \cancel{00 }\times 10 \times 2}{ \cancel{100}} } \\ \\ \sf:\longmapsto{30 \times 10 \times 2} \: \: \: \: \\ \\ \sf:\longmapsto{600} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

We know that,

$\sf:\longmapsto{Amount = Simple \: interest + Principal }$

Then,

$\sf:\longmapsto{ A =3000 + 600} \\ \\ \sf:\longmapsto{ A =3600} \: \: \: \: \: \: \: \: \: \: \:$

Hence,

Option D) is the right answer.

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