Question

At a certain rate of simple interest, ₹1600 becomes ₹2200 in 4 1/2 years. What sum of money will become ₹5025 in 4 years and 9 months at the same rate of interest?


Answer - - > ₹3600​

Answer 1

3600 is the absolute answer

Answer 2

Rs. 3600 will become Rs. 5025 in 4 years and 9 months at the same rate of interest.

Step-by-step explanation:

Given, principal = P = Rs. 1600

Amount = A = Rs. 2200

Simple interest = S.I = Rs.(2200 - 1600) = Rs. 600

Time = T = $4 \frac{1}{2} = \frac{9}{2}$ years

Rate = R

Now, Simple interest = S.I = $\frac{PRT}{100}$

=> 600 = $\frac{1600\times R\times \frac{9}{2}}{100}$

=> 600 = 72 R

=> R = $\frac{600}{72}$ = $\frac{25}{3}%$ %

Again, Amount = A = Rs. 5025

Principal = P

Time = T = 4 years 9 months = $4\frac{9}{12} = 4\frac{3}{4} = \frac{19}{4}$ years

A = P + S.I

=> 5025 = P + $\frac{PRT}{100}$

=> 5025 = P + $\frac{P\times \frac{25}{3}\times \frac{19}{4}}{100}$

=> 5025 = P + $\frac{19P}{48}$

=> 5025 = $\frac{67P}{48}$

=> P = $\frac{5025\times 48}{67}$ = Rs. 3600

Hence, Rs. 3600 will become Rs. 5025 in 4 years and 9 months at the same rate of interest.