Question
Download Solution PDFतीन वर्षों और दो वर्षों के लिए r% पर चक्रवृद्धि ब्याज (CI) और साधारण ब्याज (SI) के अंतर का अनुपात 25:8 है। 2 वर्षों के लिए [r + 7.5]% पर 3200 रुपये का चक्रवृद्धि ब्याज ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
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मूलधन P पर r% की दर से 2 वर्षों के लिए CI और SI के बीच अंतर:
CI - SI (2 वर्ष) = [P × r2 / 1002]
3 वर्षों के लिए:
CI - SI (3 वर्ष) = [P × r2 / 1002] × [(300 + r) / 100]
अनुपात लीजिए:
[ 3 वर्षों के लिए CI - SI] / [2 वर्षों के लिए CI - SI] = 25/8
[(300 + r) / 100] = 25/8
इसलिए, 2400 + 8r = 2500
इसलिए, ⇒ r = 100 / 8 = 12.5%
अब ब्याज दर 12.5 + 7.5 = 20% है
20% प्रति वर्ष की दर से 2 वर्षों के लिए क्रमिक चक्रवृद्धि ब्याज 44% है।
इसलिए, अभीष्ट ब्याज राशि 3200 × 44 /100 = 1408 है।
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