RRB NTPC CBT-1 previous year question
If the income tax is increased by 18%, the net income is reduced by 2%. Find the original rate of income tax.
Asked in RRB NTPC 2026 — 15 June Shift 3 · Quantitative Aptitude
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Correct answer: (A) 10%
Let income=100, original tax rate=r%. New tax=1.18r, and new net income = 100-1.18r, which equals 98% of the original net income (100-r): 100-1.18r=0.98(100-r). Solving gives 0.2r=2, so r=10%.
हिंदी में प्रश्न
यदि आयकर में 18% की वृद्धि की जाती है, तो नेट आय में 2% की कमी हो जाती है। आयकर की मूल दर ज्ञात कीजिए।
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (A) 5%
मान लें आय=100, मूल कर दर=r%। नई कर दर=1.18r, और नई शुद्ध आय = 100-1.18r, जो मूल शुद्ध आय (100-r) का 98% है: 100-1.18r=0.98(100-r)। हल करने पर 0.2r=2, अतः r=10%।
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