A trainee teacher receives a salary that starts at in April and increases by every month

MATHEMATICS · Multi-part · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

A trainee teacher receives a salary that starts at ₹18 000₹18\,000 in April and increases by ₹750₹750 every month. The financial year is taken from April to the following March (12 months in all). (i) Express the salary for the nnth month (April taken as n=1n=1) in terms of nn. (ii) In which month of the financial year will the salary first exceed ₹24 000₹24\,000? (iii) For how many months in the same financial year will the salary remain below ₹30 000₹30\,000? (iv) Calculate the total salary drawn by the trainee during this financial year.

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