Question

find the amount to be paid at the end of 3 years: principal =Rs. 7500 at 5% p.a.

this is the question pls help​

Answer 1

Given:

• Principal = Rs. 7500
• Rate = 5 %
• Time = 3 years

What To Find:

We have to find the amount.

How To Find:

To find the amount we will first find the simple interest and then amount by adding simple interest and principal.

Solution:

Using the simple interest,

⇒ $\sf{SI = \dfrac{PRT}{100}}$

Substitute the values,

⇒ $\sf{SI = \dfrac{7500\times 5 \times 3}{100}}$

Cancel the zeros in 7500 and 100,

⇒ SI = 75 × 5 × 3

Multiply the numbers,

⇒ SI = Rs. 1125

Now amount will be,

⇒ A = P + SI

Substitute the values,

⇒ A = Rs. 7500 + rs. 1125

Add the sum,

⇒ A = Rs. 8,625.

∴ Hence amount will be Rs. 8,625.

Formula Used:

• Simple interest = $\dfrac{PRT}{100}$
• Amount = Principal + Simple Interest

Answer 2

Answer:

Given :-

• A sum of Rs 7500 at 5% per annum for 3 years.

To Find :-

• What is the amount.

Formula Used :-

❶ To find simple interest we know that,

${\red{\boxed{\large{\bold{S.I =\: \dfrac{P \times R \times T}{100}}}}}}$

where,

• S.I = Simple Interest
• P = Principal
• R = Rate of Interest
• T = Time

❷ To find amount we know that,

${\red{\boxed{\large{\bold{Amount =\: P +\: S.I}}}}}$

where,

• P = Principal
• S.I = Simple Interest

Solution :-

❶ First we have to find the simple interest,

Given :

• Principal = Rs 7500
• Rate of Interest = 5%
• Time = 3 years

According to the question by using the formula we get,

⇒ $\sf S.I =\: \dfrac{7500 \times 5 \times 3}{100}$

⇒ $\sf S.I =\: \dfrac{7500 \times 15}{100}$

⇒ $\sf S.I =\: \dfrac{\cancel{112500}}{\cancel{100}}$

➠ $\sf\bold{\green{S.I =\: Rs\: 1125}}$

Hence, the simple interest is Rs 1125.

❷ Now we have to find the amount,

Given :

• Principal = Rs 7500
• Simple Interest = Rs 1125

According to the question by using the formula we get,

↦ $\sf Amount =\: Rs\: 7500 +\: Rs\: 1125$

➦ $\sf\bold{\purple{Amount =\: Rs\: 8625}}$

$\therefore$ The amount is Rs 8625 .