SSC GD Constable previous year question
Vijay has ₹1218. He divided it between his sons Ajay and Prakash and asked them to invest it at a 10% per annum compound interest rate. It was found that Ajay and Prakash received equal amounts after 14 and 15 years respectively. How much money (in ₹) did Vijay give to Prakash?
Asked in SSC GD Constable 2025: 11 Feb 2025 Shift 2 (Afternoon) · Quantitative Aptitude
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Correct answer: (B) 580
Since P₁(1.1)¹⁴ = P₂(1.1)¹⁵, so P₁ = 1.1×P₂; with P₁+P₂=1218, solving gives Prakash's share P₂ = 580.
हिंदी में प्रश्न
विजय के पास ₹1218 हैं। उन्होंने इसे अपने पुत्रों अजय और प्रकाश के बीच बांट दिया और उन्हें इसे वार्षिक रूप से चक्रवृद्धि होने वाले 10% वार्षिक ब्याज दर पर निवेश करने को कहा। यह देखा गया कि अजय और प्रकाश को क्रमशः 14 और 15 वर्ष बाद समान धनराशि प्राप्त हुई। विजय ने प्रकाश को कितनी धनराशि (₹ में) दी थी?
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सही उत्तर: (B) 580
चूँकि P₁(1.1)¹⁴ = P₂(1.1)¹⁵, अतः P₁ = 1.1×P₂; P₁+P₂=1218 के साथ हल करने पर प्रकाश का हिस्सा P₂ = 580 प्राप्त होता है।
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