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UPSC CSE CSAT 2022 · Paper II (CSAT) · Question 20 · Arithmetic: percentage, ratio, averages, time & work

एक वस्तु की कीमत में 25% वृद्धि की गई। तत्पश्चात् कीमत को 20% घटा दिया गया और फिर 10% बढ़ा दिया…

UPSC Civil Services (Preliminary) Examination 2022, General Studies Paper II (CSAT), Question 20 — Arithmetic: percentage, ratio, averages, time & work.

एक वस्तु की कीमत में 25% वृद्धि की गई। तत्पश्चात् कीमत को 20% घटा दिया गया और फिर 10% बढ़ा दिया गया। कीमत में परिणामी वृद्धि क्या है?

Read this question in English

The increase in the price of a certain item was 25%. Then the price was decreased by 20% and then again increased by 10%. What is the resultant increase in the price?

(a) 5% · (b) 10% · (c) 12.5% · (d) 15%

उत्तर और व्याख्या · explanation in English

Answer: (b) 10%

A 25% rise followed by a 20% fall brings the price exactly back to where it started (1.25 × 0.8 = 1). Only the last 10% rise remains.

  1. Let the price be ₹100. After a 25% increase it is ₹125.
  2. A 20% decrease: 125 × 0.8 = ₹100.
  3. A 10% increase: 100 × 1.1 = ₹110.
  4. The resultant increase is ₹10 on ₹100, i.e. 10%.

Remember · Successive percentage changes multiply: +25% then −20% cancel, because 5/4 × 4/5 = 1.

Question and answer: UPSC's official GS Paper II (2022, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·

Cite this question: UPSC CSE CSAT 2022, Q20 — minimalistias.com/pyqs/csat/2022/q20

In the UPSC syllabus: Arithmetic: percentage, ratio, averages, time & work › Percentages, profit & loss See it and tick it covered →

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