Question
Download Solution PDFएक धनराशि 5 वर्षों में 1920 रुपये और 7 वर्षों में 2208 रुपये हो जाती है। तो उस धनराशि के साधारण ब्याज की दर प्रति वर्ष कितनी है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
5 वर्षों में मिश्रधन = 1920 रुपये
7 वर्षों में मिश्रधन = 2208 रुपये
प्रयुक्त सूत्र:
A = P + (P × r × t)/100
A = मिश्रधन, P = मूलधन, r = दर प्रतिशत, t = समय (वर्षों में)
गणना:
दिये गये अनुसार,
5 वर्षों में मिश्रधन = P + (P × r × 5)/100 = 1920 ----(1)
7 वर्षों में मिश्रधन = P + (P × r × 7)/100 = 2208 ----(2)
(2) में से (1) घटाने पर, हमें प्राप्त होता है:
[P + 7Pr/100] - [P + 5Pr/100] = 2208 - 1920
⇒ 2Pr/100 = 288
⇒ Pr/100 = 288/2
⇒ Pr/100 = 144 ----(3)
(3) का मान (1) में रखने पर:
P + 5Pr/100 = 1920
P + (144 × 5) = 1920
P + 720 = 1920
P = 1920 - 720
P = 1200 ----(4)
अब, (4) का मान (3) में रखने पर:
(1200 × r)/100 = 144
12 × r = 144
r = 144 / 12
r = 12
∴ अभीष्ट दर प्रतिशत 12% है।
Last updated on Nov 29, 2024
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