Mathematics

Problem

A trainee receives a starting salary of Rs 8 000 per month. Her salary increases by Rs 200 every month. In which month will her salary first exceed Rs 10 000? a)

11^{\text{th}}\text{ month}

12^{\text{th}}\text{ month}

10^{\text{th}}\text{ month}

13^{\text{th}}\text{ month}

Intuitive explanation

This is an arithmetic sequence problem where you need to find when a linearly growing quantity crosses a threshold. The key insight is to write the salary formula for month $n$ as $S_n = 8000 + 200(n-1)$ , then solve the inequality $S_n > 10000$ to find the first month where this happens. You're not looking for an exact value—you need the smallest whole month number that satisfies the condition.

Intuitive explanation

Browse the problem library