A buyer can choose between two payment plans for a product: Plan X: Pay ₹2000 in the…

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

A buyer can choose between two payment plans for a product: Plan X: Pay ₹2000 in the first month and increase the payment by ₹500 every following month. Plan Y: Pay ₹3500 in the first month and increase the payment by ₹200 every following month. After how many complete months will the total amount paid under Plan X first exceed the total amount paid under Plan Y? (a) 1313 (b) 1212 (c) 1111 (d) 77

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