Tk. 6000 becomes Tk. 7200 in 4 years at a certain rate of simple interest. If the rate becomes 1.5 times of itself, the amount of same principal in 5 years will be -
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
1 (Tk. 8250)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Given:
- Principal (P) = Tk. 6000
- Amount after 4 years = Tk. 7200
- Time = 4 years
Step 1: Calculate Simple Interest (S.I.)
S.I. = 7200 - 6000 = Tk. 1200
Step 2: Use S.I. formula to find the rate:
S.I. = (P × R × T) / 100
1200 = (6000 × R × 4) / 100
⇒ 1200 = 240R
⇒ R = 1200 / 240 = 5%
Step 3: New rate = 1.5 × 5% = 7.5%
Step 4: Calculate new amount for 5 years at 7.5%
S.I. = (6000 × 7.5 × 5) / 100 = 2250
Amount = 6000 + 2250 = Tk. 8250
∴ Final Answer: Tk. 8250
