Question

_______________. (c). Find the amount to be paid at the end of 3 years in each case: (a) Principal = 1,200 at 12% p.a. 2 marks (b) Principal = 7,500 at 5% p.a. 2 marks

10 points

​

Answer 1

Given :-

• Principal = 1,200 at 12% p.a.
• Principal = 7,500 at 5% p.a

To find :-

• The amount to be paid at the end of 3 years in each of case.

Solution :-

As we know that

→ Simple interest = principal × rate × time/100

→ S.I = P × R × T/100

• In first case

→ Principal = 1,200 at 12% p.a and time 3 years

So,

→ S.I = P × R × T/100

→ S.I = 1200 × 12 × 3/100

→ S.I = 12 × 12 × 3

→ S.I = 144 × 3

→ S.I = Rs.432

Hence,

→ Amount = Principal + S.I

→ A = 1200 + 432

→ A = Rs.1632

• In second case

→ Principal = 7,500 at 5% p.a and time 3 years

So,

→ S.I = P × R × T/100

→ S.I = 7500 × 5 × 3/100

→ S.I = 75 × 5 × 3

→ S.I = 75 × 15

→ S.I = Rs.1125

Hence,

→ Amount = Principal + Simple interest

→ A = 7500 + 1125

→ A = Rs.8625

Therefore,

Amount in first case = Rs.1632

Amount in second case = Rs.8625

Answer 2

a) Given :

• P = ₹ 1200
• R = 12 %
• T = 3 years

To find :

• Amount to be paid

Formula :

✯ S. I = P × R × T / 100

According to the question :

⟹ S. I = 1200 × 12 × 3 / 100

⟹ S.I = 43200 / 100

⟹ S. I = ₹ 432

➳ Amount = P + S. I

⟹ ₹ 1200 + 432

⟹ ₹ 1632

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

b) Given :

• P = ₹ 7500
• R = 5 %
• T = 3 years

To find :

• Amount to be paid

Formula :

✯ S. I = P × R × T / 100

According to the question :

⟹ S. I = ₹ 7500 × 5 × 3 / 100

⟹ S. I = 112500 / 100

⟹ S. I = ₹ 1125

➳ Amount = P + S. I

⟹ ₹ 7500 + 1125

⟹ ₹ 8625

Finally We found :

a) ₹ 1632

b) ₹ 8625

So, It's Done !!