SSC GD Constable previous year question

Shan has ₹1612 with him. He divided it amongst his sons Piyush and Manoj and asked them to invest it at 8% rate of interest compounded annually. It was seen that Piyush and Manoj got same amount after 12 and 13 years respectively. How much (in ₹) did Shan give to Piyush?

Asked in SSC GD Constable 2025: 05 Feb 2025 Shift 1 · Quantitative Aptitude

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Correct answer: (C) 837

Since Piyush's share compounds for 12 years and Manoj's for 13 years to reach the same amount, Piyush's share must be larger by a factor of 1.08; solving P×(1.08)¹² = (1612−P)×(1.08)¹³ gives Piyush's share = ₹837.

हिंदी में प्रश्न

शान के पास ₹1612 हैं। उसने इसे अपने बेटों पीयूष और मनोज के बीच बांटा और उन्हें 8% वार्षिक चक्रवृद्धि ब्याज दर पर निवेश करने को कहा। देखा गया कि पीयूष और मनोज को क्रमशः 12 और 13 वर्षों बाद समान राशि मिली। शान ने पीयूष को कितनी राशि (₹ में) दी?

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सही उत्तर: (C) 837

चूँकि पीयूष का हिस्सा 12 वर्षों और मनोज का हिस्सा 13 वर्षों में चक्रवृद्धि होकर समान राशि तक पहुँचता है, इसलिए पीयूष का हिस्सा 1.08 गुना बड़ा होना चाहिए; P×(1.08)¹² = (1612−P)×(1.08)¹³ हल करने पर पीयूष का हिस्सा = ₹837 प्राप्त होता है।

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Shan has ₹1612 with him. He divided it amongst his sons Piyush and Manoj and asked them to invest it at 8% rate of interest compounded annually. It was seen that Piyush and Manoj got same amount after 12 and 13 years respectively. How much (in ₹) did Shan give to Piyush?

हिंदी में प्रश्न

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