Question

at 5% simple interest per annum a sum of money becomes ₹608 in 7/2 years.What was the sum invested?​

Answer 1

Answer :

Principal = Rs.517.44680851

Explanation :

Given : Amount (A) = Rs. 608

Rate of interest (R) = 5 %

Time (T) = 7/2 years

To find : Principal (P)

Solution :

Amount (A) = Rs. 608

Rate of interest (R) = 5 %

Time (T) = 7/2 years

$amount = p(1 + \frac{tr}{100})$

Substite the given values to get the value of Prinipal

=> 608 = P(1 + (7/2 * 5)/100)

=> 608 = P(1 + (3.5 * 5)/100)

=> 608 = P(1 + 17.5/100)

=> 608 = P(1 + 0.175)

=> 608 = P + 0.175P

=> 1.175P = 608

=> P = 608/1.175

=> P = 608000/1175

=> P = 24320/47

=> P = 517.44680851

Therefore Principal = Rs.517.44680851