A sum of 5000 amounts to 6050 in 2 years at CI. Fine the rate %
Mathematics
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Answer
चलो इसे हल करते हैं।
Step-by-step solution
5 stepsचक्रवृद्धि ब्याज (Compound Interest) के लिए सूत्र है:
A = P (1 + R/100)ⁿ
जहाँ:
A = अंतिम राशि (Amount)
P = मूलधन (Principal)
R = ब्याज दर (Rate of interest)
n = समय (Number of years)
दिए गए मानों को सूत्र में रखें।
यहाँ, A = 6050, P = 5000, n = 2 साल।
6050 = 5000 (1 + R/100)²
समीकरण को सरल करें।
(6050)/(5000) = (1 + R/100)²
(605)/(500) = (1 + R/100)²
(121)/(100) = (1 + R/100)²वर्गमूल लें।
√(121/100) = 1 + R/100
(11)/(10) = 1 + R/100R के लिए हल करें।
(11)/(10) - 1 = R/100
(11 - 10)/(10) = R/100
(1)/(10) = R/100R का मान ज्ञात करें।
R = (1/10) × 100
R = 10तो, ब्याज दर 10% प्रति वर्ष है।
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