Question

10. What sum will yield * 406 as simple interest in 1 year 2 months at 6 1/4% per annum?​

Answer 1

Given that :

• Simple Interest = ₹406.
• Rate = 6 ¼ % = 25/4 %.
• Time = 1 year 2 months = 1 + 2/12 = 7/6 years.

To find :

• Principal.

Formula Used :

• SI = (p × r × t) / (100).

Assumptions :

• Let's consider the principal be x.P = Principal.
• R = Rate.
• T = Time.
• SI = Simple Interest.

Finding the Principal :

ㅤㅤ→ SI = (p × r × t) / (100).

ㅤㅤ→ 406 = (x × 25/4 × 7/6) / (100).

ㅤㅤ→ 406 × 100 = (x × 25/4 × 7/6).

ㅤㅤ→ 40600 = x × (25 × 7)/(4 × 6).

ㅤㅤ→ 40600 = x × (175/24).

ㅤㅤ→ x × (175/24) = 40600.

ㅤㅤ→ x = 40600 × (24/175).

ㅤㅤ→ x = (40600 × 24)/(175).

ㅤㅤ→ x = (974400)/(175).

ㅤㅤ→ x = 5568.

Answer :

• Principal = 5568.