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UPSC CSE CSAT 2016 · Paper II (CSAT) · Question 52 · Arithmetic: percentage, ratio, averages, time & work

दो व्यक्तियों की सम्पूर्ण वेतन-लब्धियां बराबर हैं, पर उनमें से एक को अपने मूल वेतन का 65% भत्तों…

UPSC Civil Services (Preliminary) Examination 2016, General Studies Paper II (CSAT), Question 52 — Arithmetic: percentage, ratio, averages, time & work.

दो व्यक्तियों की सम्पूर्ण वेतन-लब्धियां बराबर हैं, पर उनमें से एक को अपने मूल वेतन का 65% भत्तों के रूप में मिलता है जबकि दूसरे को मूल वेतन का 80% भत्तों के रूप में मिलता है। पहले व्यक्ति के मूल वेतन का, दूसरे व्यक्ति के मूल वेतन से क्या अनुपात है ?

Read this question in English

The total emoluments of two persons are the same, but one gets allowances to the extent of 65% of his basic pay and the other gets allowances to the extent of 80% of his basic pay. The ratio of the basic pay of the former to the basic pay of the latter is:

(a) 16: 13 · (b) 5: 4 · (c) 7: 5 · (d) 12: 11

उत्तर और व्याख्या · explanation in English

Answer: (d) 12 : 11

Equal totals mean 165% of the first person's basic pay equals 180% of the second's. So the basic pays are in the ratio 180 : 165 = 12 : 11.

  1. First: basic x, total 1.65x. Second: basic y, total 1.80y.
  2. 1.65x = 1.80y, so x : y = 180 : 165 = 12 : 11.
  3. Check: 12 × 1.65 = 19.8 and 11 × 1.80 = 19.8.

Remember · If a% of X equals b% of Y, then X : Y = b : a.

Question and answer: UPSC's official GS Paper II (2016, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·

Cite this question: UPSC CSE CSAT 2016, Q52 — minimalistias.com/pyqs/csat/2016/q52

In the UPSC syllabus: Arithmetic: percentage, ratio, averages, time & work › Ratio, proportion & mixtures See it and tick it covered →

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