A taxi charges a fixed amount plus a fixed rate per km. For a 10 km ride Rutuja paid ₹ 205 and for a 15 km ride she paid ₹ 280. Find the fixed charge and the rate per km. How much will she pay for a 25 km ride?

Doubtly Asked 29 Oct 2026 Practice test ssc 10th Save WhatsApp Report

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Answer: Fixed charge ₹ 55, rate ₹ 15 per km; a 25 km ride costs ₹ 430

Let the fixed charge be ₹ \(x\) and the rate be ₹ \(y\) per km.

\(x + 10y = 205\) …(I)
\(x + 15y = 280\) …(II)

(II) − (I): \(5y = 75 \Rightarrow y = 15\)

From (I): \(x = 205 - 150 = 55\)

For 25 km: \(55 + 25 \times 15 = 55 + 375 = ₹\ 430\).

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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