SSC CPO practice question
A debt is to be discharged by two equal installments (equal face values), one due after 1 year and the other after 3 years, at 8% per annum. If the sum of the present worths of the two installments is Rs. 2338.71, find the total amount of the debt.
From a SSC CPO Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (D) Rs. 2700
Let each installment be x. Then P.W. sum = 100x/(100+8×1) + 100x/(100+8×3) = Rs. 2338.71. Solving gives x, and the total debt = 2x = Rs. 2700.
हिंदी में प्रश्न
एक ऋण को दो बराबर किश्तों (समान अंकित मूल्य) में चुकाया जाना है — एक किश्त 1 वर्ष बाद तथा दूसरी 3 वर्ष बाद, 8% वार्षिक दर पर देय है। यदि दोनों किश्तों के वर्तमान मूल्यों (P.W.) का योग Rs. 2338.71 है, तो कुल ऋण राशि ज्ञात कीजिए।
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सही उत्तर: (D) रु. 2700
मान लीजिए प्रत्येक किश्त x है। तब P.W. का योग = 100x/(100+8×1) + 100x/(100+8×3) = Rs. 2338.71। इसे हल करने पर x प्राप्त होता है, और कुल ऋण = 2x = Rs. 2700।
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