The correct answer is: $1600$
Explanation
Kavitha’s total savings over three months add up to the cost of the laptop. Let the laptop cost be $C$. She saved $\tfrac{3}{8}C$ in month 1, $\tfrac{3}{8}C – 125$ in month 2, and $525$ in month 3. Set up and solve the equation for $C$.
Steps:
- Let $C$ be the total cost. Month 1: $\frac{3}{8}C$. Month 2: $\frac{3}{8}C – 125$. Month 3: $525$.
- Write the total: $$\frac{3}{8}C + \left(\frac{3}{8}C – 125\right) + 525 = C$$
- Simplify and solve: $$\frac{6}{8}C + 400 = C \quad\Rightarrow\quad \frac{3}{4}C + 400 = C$$ $$400 = \frac{1}{4}C \quad\Rightarrow\quad C = 400 \times 4 = 1600$$
Therefore, the laptop cost $1600\text{ dollars}$.