A university grants a merit scholarship that starts at ₹2,000 per month during the…

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

Problem

A university grants a merit scholarship that starts at ₹2,000 per month during the first semester. The amount is raised by ₹150 in every subsequent semester. Each semester is of equal length and there are eight semesters in the programme. (i) Find the amount of the scholarship that will be received in the 8th semester. (ii) Determine the total scholarship money the student will receive over all eight semesters. (iii) If the student is required to deposit 10% of the scholarship amount from each semester into a laboratory fund, compute the net scholarship amount retained by the student over the entire programme.

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