Multiple choice

Shilpa took a loan of Rs. 15,00,000 to purchase a car. The company charges compound interest at 20% per annum. She promised to make the payment after three years. But for the last year of loan tenure, the company increased the rate of interest by 25% from the previous one. Then the extra amount which she had to pay is what per cent of the amount of loan taken by her? शिल्पा ने कार खरीदने के लिए 15,00,000 रुपये का ऋण लिया। कंपनी प्रति वर्ष 20% पर चक्रवृद्धि ब्याज वसूलती है। उसने तीन साल बाद भुगतान करने का वादा किया। लेकिन ऋण कार्यकाल के अंतिम वर्ष के लिए, कंपनी ने पिछले दर से ब्याज दर को 25% बढ़ा दिया। फिर उसे जो अतिरिक्त राशि देनी थी, वह उसके द्वारा लिए गए ऋण की राशि का कितना प्रतिशत है?

  1. 6.5%

  2. 7.2%

  3. 4.8%

  4. 5.2%

  5. 6.2%
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B Correct answer
Explanation

Normal amount at 20% for 3 years: 15,00,000(1.2)^3 = 25,92,000. Actual amount: Years 1-2 at 20%, Year 3 at 25% (20% + 25% of 20% = 25%). So 15,00,000(1.2)^2(1.25) = 27,00,000. Extra = 1,08,000. Percentage of loan = (1,08,000/15,00,000) × 100 = 7.2%. The key is understanding that the rate increases by 25% of the original rate (25% of 20% = 5%), not to 25%.

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