Abhi borrowed an amount of Rs x at 10% p.a. for \(1 \frac{1}{2}\) year while the interest was compounded annually. Amit also took the same amount there at the same rate for the same time but the interest was compounded half-yearly. If the difference between the amount of interest paid by them is Rs 40.95, then what is the value of x?
Created: 28 Feb 2026 |
Updated: 28 Feb 2026
Updated: 28 Feb 2026
Explanation:
Calcultion: Rate of interest = 10% = 1/10 Where, Interest = 1, Principal = 10 According to the question: Case I Principal Amount(P + 1) 10 11 11 11.55(at 5% because of 1/2years) So, 10 becomes 11.55 Case II When compounded half-yearly (3 terms in 1/2 year) R = 5% = 1/20 Where, Interest = 1, Principal = 20 Principal Amount(P + 1) 20 21 20 21 20 21 Total = 8000 9261 So here, 8000 becomes 9261 To make principal equal for both case I and case II, we multiply by 800 ⇒ 10 × 800 = 8000 As principal is multiplied by 800,To balance the ratio, Amount will also be multiplied by 800 So, 10 × 800 : 11.55 × 800 ⇒ 8000 : 9240 Difference in Amount in two case = 9261 - 9240 = Rs. 21 Now, According to the question, 21 = Rs. 40.95 ⇒ 1 = Rs. 1.95 Amit also took the same amount ⇒ 8000 = 1.95 × 8000 = Rs. 1560 ∴ The value of x is Rs. 15600.
বাংলা সাহিত্য ও ব্যাকরণ হলো বাংলা ভাষার দুটি অবিচ্ছেদ্য অঙ্গ। বাংলা সাহিত্য হলো বাংলা ভাষায় রচিত কবিতা, উপন্যাস, নাটক, গল্পসহ সৃজনশীল ও মননশীল রচনার সমষ্টি, যার সূচনা দশম শতাব্দীতে 'চর্যাপদ' এর মাধ্যমে। অন্যদিকে, বাংলা ব্যাকরণ হলো এমন একটি শাস্ত্র বা বিজ্ঞান, যা বাংলা ভাষার গঠন, প্রকৃতি, ধ্বনি, শব্দ ও বাক্যের নিয়ম-কানুন বিশ্লেষণ করে ভাষার শুদ্ধ রূপ ও প্রয়োগ শেখায়।
💬 Comments (0)