RRB ALP practice question
A sum amounts to ₹4,900 in 3 years at 7.5% per annum simple interest. What is the simple interest on the same sum for 1 year at the same rate?
From a RRB ALP Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (A) ₹300
A = P(1 + RT/100) ⇒ P = ₹4,900 × 100/(100 + 7.5 × 3) = ₹4,900 × 100/122.5 = ₹4,000. SI for 1 year = ₹4,000 × 7.5 × 1/100 = ₹300. (Applying the rate to the amount ₹4,900 gives ₹367.5, which is wrong.)
हिंदी में प्रश्न
एक धनराशि 7.5% वार्षिक साधारण ब्याज की दर से 3 वर्ष में ₹4,900 हो जाती है। उसी दर पर उसी राशि का 1 वर्ष का साधारण ब्याज कितना है?
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सही उत्तर: (A) ₹300
A = P(1 + RT/100) ⇒ P = ₹4,900 × 100/(100 + 7.5 × 3) = ₹4,900 × 100/122.5 = ₹4,000। 1 वर्ष का ब्याज = ₹4,000 × 7.5 × 1/100 = ₹300। (दर को मिश्रधन ₹4,900 पर लगाने से ₹367.5 आता है, जो गलत है।)
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