Question

What principle will amount to rs.370 in 6 year at 8%p.A at simple interest?

Answer 1

amount= ₹370 , time = 6 yr

rate = 8%

let the principal be 'x'

amount = principal + s.i

amount= x + (x × r × t/ 100)


370 = x + [( x × 8 × 6) / 100 ]

370 = x + 0.48x

1.48x = 370


x = ₹250


Answer: principal = ₹250

Answer 2

Rate (R) = 8% p.a.

Time (T) = 6 years

Amount = Rs. 370

Let's assume the Principal (P) as Rs. x

According to Question,

Amount = Principal + S.I.

⇒ 370 = x + (PRT / 100)

⇒ 370 = x + (x × 8 × 6 / 100)

⇒ 370 = x + (48x / 100)

⇒ 370 = 148x / 100

⇒ 370 × 100 / 148 = x

⇒ 37,000 / 148 = x

⇒ 250 = x

Hence, the Principal is Rs. 250

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