Question

Rahman borrows a certain amount of money from Rabat at 10 percent per annum from 6years and at the end of 6 years.He returns,Rs32000 to Rajat.Find the principal money and the simple interest

Answer 1

Amount = Principal + Simple Interest

Simple interest = (Principal × Rate × Time)/100

So Amount =  Principal + (Principal × Rate × Time)/100

lets say principal= x  

Given Amount = Rs 32000 ,  Rate = 10% , Time = 6 years

⇒ 32000 = x + ( x × 10 × 6)/100

⇒ 32000 =  x + ( 6x/10 )

⇒ 32000 = 16x/10

⇒  32000 = 8x/5

⇒ x = (32000/8) × 5

⇒ x = 4000 × 5 = 20000

S.I = Amount - Principal

    = 32000 - 20000

    = 12000

you can recheck S.I by using formula

S.I = (P × R × T)/100 = (20000 × 10 × 6)/100 = 12000

Hence Principal = Rs 20000 and Simple Interest = Rs 12000