SSC GD Constable previous year question
Nitin has ₹1224 with him. He divided it amongst his sons Pravin and Rishi and asked them to invest it at 4% rate of interest compounded annually. It was seen that Pravin and Rishi got same amount after 14 and 15 years respectively. How much (in ₹) did Nitin give to Rishi?
Asked in SSC GD Constable 2025: 10 Feb 2025 Shift 3 · Quantitative Aptitude
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Correct answer: (B) 600
Since Rishi's amount grows for one year less, his share must be larger by a factor of 1.04; solving P×1.0414 = R×1.0415 with P+R=1224 gives R = 600.
हिंदी में प्रश्न
नितिन के पास ₹1224 हैं। उसने इसे अपने बेटों प्रवीण और ऋषि के बीच बांटा और उन्हें 4% वार्षिक चक्रवृद्धि ब्याज दर पर निवेश करने को कहा। यह देखा गया कि प्रवीण और ऋषि को क्रमशः 14 और 15 वर्षों के बाद समान राशि प्राप्त हुई। नितिन ने ऋषि को कितनी राशि (₹ में) दी?
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सही उत्तर: (B) 600
चूंकि ऋषि की राशि एक वर्ष कम बढ़ती है, उसका हिस्सा 1.04 गुना अधिक होना चाहिए; P×1.0414 = R×1.0415 और P+R=1224 हल करने पर R = 600 प्राप्त होता है।
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