A loan of Rs. 2,00,000 was taken. The annual compound interest rate is 7%. The total amount repaid is Rs…

Question

A loan of Rs. 2,00,000 was taken. The annual compound interest rate is 7%. The total amount repaid is Rs. 2,28,980. a) How much interest did Ramesh pay? b) For how many years did Ramesh use the loan?

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यहाँ प्रश्न २ को समाधान छ: दिइएको जानकारी: सावाँ (Principal), P = Rs. 2,00,000; बार्षिक चक्रीय ब्याजदर (Annual compound interest rate), R = 7%; सावाँ र ब्याज सहित फिर्ता गरेको रकम (Total amount repaid), A = Rs. 2,28,980 a) रमेशले ब्याजमात्र कति बुझाएछन् ? ब्याज (Interest), I = A − P Step 1: ब्याज पत्ता लगाउनुहोस्। I = 2,28,980 − 2,00,000; I = 28,980 रमेशले बुझाएको ब्याज Rs. 28,980 हो। b) रमेशले उक्त ऋण कति वर्षको लागि प्रयोग गरेछन् ? चक्रीय मिश्रधन (Compound Amount) को सूत्र प्रयोग गर्नुहोस्: A = P (1 + R/100)^T जहाँ T समय (वर्षमा) हो। Step 1: दिएको मानहरू सूत्रमा राख्नुहोस्। 2,28,980 = 2,00,000 (1 + 7/100)^T; 2,28,980 = 2,00,000 (1 + 0.07)^T; 2,28,980 = 2,00,000 (1.07)^T Step 2: T को मान पत्ता लगाउनुहोस्। (2,28,980)/(2,00,000) = (1.07)^T; 1.1449 = (1.07)^T अब, 1.07 को कुन घात 1.1449 हुन्छ पत्ता लगाउनुहोस्। (1.07)¹ = 1.07; (1.07)² = 1.07 × 1.07 = 1.1449; तसर्थ, T = 2 वर्ष। रमेशले उक्त ऋण 2 वर्ष को लागि प्रयोग गरेछन्।

A loan of Rs. 2,00,000 was taken. The annual compound interest rate is 7%. The total amount repaid is Rs. 2,28,980. a) How much interest did Ramesh pay? b) For how many years did Ramesh use the loan?

Answers

Step-by-step solution

Part a· 1 step

ब्याज पत्ता लगाउनुहोस्।

Part b· 2 steps
$2 \text{ वर्ष}$

दिएको मानहरू सूत्रमा राख्नुहोस्।

$T$ को मान पत्ता लगाउनुहोस्।

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A loan of Rs. 2,00,000 was taken. The annual compound interest rate is 7%. The total amount repaid is Rs. 2,28,980. a) How much interest did Ramesh pay? b) For how many years did Ramesh use the loan?

Answers

Step-by-step solution

Part a· 1 step

ब्याज पत्ता लगाउनुहोस्।

Part b· 2 steps2 वर्ष2 \text{ वर्ष}2 वर्ष

दिएको मानहरू सूत्रमा राख्नुहोस्।

TTT को मान पत्ता लगाउनुहोस्।

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Part b· 2 steps
$2 \text{ वर्ष}$

$T$ को मान पत्ता लगाउनुहोस्।