P रुपये की एक निश्चित राशि पर r% प्रति वर्ष की दर से 3 वर्षों के लिए साधारण ब्याज 11,250 रुपये है और समान राशि पर 2 वर्षों के लिए समान दर प्रतिशत प्रति वर्ष चक्रवृद्धि ब्याज 7,650 रुपये है। तो क्रमशः P और r का मान क्या है?

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  1. 93750 रुपये और 4%
  2. 93750 रुपये और 5%
  3. 92500 रुपये और 6%
  4. 92500 रुपये और 7%

Answer (Detailed Solution Below)

Option 1 : 93750 रुपये और 4%
Free
SSC Selection Post Phase 13 Matriculation Level (Easy to Moderate) Full Test - 01
100 Qs. 200 Marks 60 Mins

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दी गई जानकारी:

3 वर्षों के लिए साधारण ब्याज = 11,250 रुपये

2 वर्षों के लिए समान दर पर चक्रवृद्धि ब्याज = 7650 रुपये 

प्रयुक्त सूत्र:

P =  जहाँ-

P = मूलधन 

SI = साधारण ब्याज

R = दर 

T = समय 

गणना:

1 वर्ष के लिए साधारण ब्याज = 11,250 ÷ 3 = 3,750 रुपये

2 वर्षों के लिए साधारण ब्याज = 2 × 3750 = 7500 रुपये

2 वर्षों के लिए चक्रवृद्धि ब्याज और साधारण ब्याज के बीच का अंतर = 7650 - 7500 = 150 रुपये 

चक्रवृद्धि ब्याज और साधारण ब्याज के बीच का यह अंतर साधारण ब्याज पर पहले वर्ष अर्थात् 3750 रुपये के लिए था।

∴ दर % =  × 100 = 4%

मूलधन =  = 93,750 रुपये 

∴ मूलधन 93,750 रुपये था और ब्याज दर 4% थी।

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