A woman borrowed Rs 7000 from a bank at a 7% annual interest rate. What is the amount she must pay after three and a half years?

Given,

Principal amount P = Rs 7000

Time period T = 3$\frac{1}{2}$ years = $\frac{7}{2}$ years

Rate of interest R = 7% p.a.

Formula:

Simple interest = $\frac{\mathrm{P} \times \mathrm{T} \times \mathrm{R}}{100}$

Calculation:

SI = $\frac{7000 \times {\displaystyle \raisebox{1ex}{$7$}\!\left/ \!\raisebox{-1ex}{$2$}\right.} \times 7}{100}$

SI = Rs. 1715

Amount = Principal amount + Interest

A = Rs. 7000 + 1715

A = Rs. 8715

Hence, the correct answer is Rs. 8715.