एक वस्तु पर, एक दुकानदार, एक ग्राहक को निम्न छूट के विकल्प देता है :
- 1.10% और 20% की क्रमिक छूट और तदुपरांत 10% सेवा कर का भुगतान
- 2.20% और 10% की क्रमिक छूट और तदुपरांत 10% सेवा कर का भुगतान
- 3.पहले 10% सेवा कर का भुगतान तदुपरांत 20% और 10% की क्रमिक छूट
निम्नलिखित में से कौन-सा सही है?
Read this question in English
A shop owner offers the following discount options on an article to a customer:
1. Successive discounts of 10% and 20%, and then pay a service tax of 10%
2. Successive discounts of 20% and 10%, and then pay a service tax of 10%
3. Pay a service tax of 10% first, then successive discounts of 20% and 10%
Which one of the following is correct?
(a) 1 only is the best option for the customer. · (b) 2 only is the best option for the customer. · (c) 3 only is the best option for the customer. · (d) All the options are equally good for the customer.
उत्तर और व्याख्या · explanation in English
Answer: (d) ग्राहक के लिए सभी विकल्प समान रूप से अच्छे हैं।
Each option multiplies the price by the same three factors — 0·9, 0·8 and 1·1 — only in a different order. Multiplication does not depend on order, so the customer pays the same in every case.
- Take the price as ₹ 100.
- Option 1: 100 × 0·9 × 0·8 × 1·1 = ₹ 79·2.
- Option 2: 100 × 0·8 × 0·9 × 1·1 = ₹ 79·2.
- Option 3: 100 × 1·1 × 0·8 × 0·9 = ₹ 79·2.
- All three cost the same, so all options are equally good.
Remember · Successive percentage changes are multiplying factors; their order never changes the final result.
Question and answer: UPSC's official GS Paper II (2020, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). ·