Question

calculate the amount on rs.760 for 6 months at 3% per annum​

Answer 1

Given:

✰ Principal ( P ) = Rs.760

✰ Rate = 3%

✰ Time ( T ) = 6 months

Calculate:

✠ The amount

Solution:

We will solve this question by using formula to calculate simple interest and then find it's amount.

As mentioned in the question above Rs. 760 for 6 months at 3% per annum which means yearly, so we will convert 6 months into years i.e,

6/12 = 1/2 year ( half year )

❍ Simple Interest = Principal × Rate × Time/100

• S.I. = P × R × T/100

• S.I. = 760 × 3 × 1/ 100 × 2

• S.I = 76 × 3 × 1/ 10 × 2

• S.I = 228 × 1/ 10 × 2

• S.I = 228 /10 × 2

• S.I = 228/20

• S.I = Rs. 11.4

Now, calculate amount

❍ Amount = Principal + Interest

• A = P + I

• A = 760 + 11.4

• A = Rs. 771.4

∴ The amount = Rs. 771.4

N.B: On the same Sum and at the same rate of interest per annum, the interest of every year is same.

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Answer 2

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✤ Required Answer:

✒ GiveN:

• Principal = rs.760
• Time [years] = 6/12 = 1/2 years
• Rate = 3% per annum

✒ To FinD:

• What is the amount ?

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✤ How to solve?

In the question we need to calculate the amount and it is given to us that principal is rs.760 , time is 6 months and rate is 3% per annum .

Here the concept of simple interest and amount has been used. We know that we can calculate the simple interest by using the formula :- PRT/100 and we can calculate amount by using the formula :- Principal + Simple interest . Here we are given principal is 760 rupees , time is 6 months and rate is 3% . So, in order to calculate the answer first we will calculate simple interest and then we will calculate our amount .

☕ Simple Interest:-

$\dag\:\underline{\boxed{\bf{\orange{Simple \: Interest= \frac{prt}{100} }}}}$

☕ Amount :-

$\dag\:\underline{\boxed{\bf{\orange{Amount = P + S i }}}}$

Now let's solve it !

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✤ Solution :

We know that

• Principal = rs.760
• Time = 1/2 years
• Rate = 3% per annum

Now by applying the formula of simple interest

$: \Longrightarrow{{\sf{{Simple\; Interest= \dfrac{prt}{100} }}}}$

Let's put the value !

$: \longrightarrow{{\sf{{Simple\; Interest= \dfrac{760 \times 1 \times 3}{2 \times 100} }}}}$

$: \longrightarrow{{\sf{{Simple\; Interest= \dfrac{76 \cancel{0} \times 1 \times 3}{2 \times 10 \cancel{0}} }}}}$

$: \longrightarrow{{\sf{{Simple\; Interest= \dfrac{76 \times 1 \times 3}{2 \times 10} }}}}$

$: \longrightarrow{{\sf{{Simple\; Interest= \dfrac{228}{2 \times 10} }}}}$

$: \Longrightarrow{{\sf{{Simple\; Interest= \orange{rs. \: 11.4}}}}}$

Now let's calculate the amount .

We know that

• Principal = rs.760
• Simple interest = rs. 11.4

Now by applying the formula of amount

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

Let's put the value !

${{\sf: \longrightarrow{{Amount = 760 + 11.4}}}}$

${{\sf: \Longrightarrow{{Amount = \orange{ rs. \: 771.4}}}}}$

☀️ Hence, solved !!

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