A company pays an apprentice a monthly stipend that increases in arithmetic progression

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

Problem

A company pays an apprentice a monthly stipend that increases in arithmetic progression. The total stipend paid for the first 6 months is ₹ 27 000\text{₹}\,27\,000 and for the first 12 months is ₹ 78 000\text{₹}\,78\,000. (i) Determine the apprentice’s stipend for the first month and the fixed monthly increment. (ii) Calculate the total stipend the apprentice will receive during months 13 to 18.

Related theory

Browse the problem library