*1500 रु.मुद्दलाचे पहिल्या वर्षापेक्षा दुसऱ्या वर्षाचे व्याज 96 रुपयांनी जास्त येत असल्यास चक्रवाढव्याज पद्धतीने व्याजाचा दर किती असावा?*
1️⃣ 6 %
2️⃣ 12 %
3️⃣ 8 %
4️⃣ निश्चीत सांगता येत नाही
Answers
Given : For the principal of Rs 1500 the interest for the second year is Rs 96 more than that of first year
To Find : rate of compound interest
1️⃣ 6 %
2️⃣ 12 %
3️⃣ 8 %
4️⃣ can't say for sure
Solution:
Interest earned extra in second year is basically the interest earned on interest earned in 1st year
P = 1500
R = rate of interest
T = Time
SI = P * R * T /100
Interest earned in 1st Year = 1500 * R * 1/100 = 15R
Interest earned in 2nd year on 15R = 15R * R /100 = 15R²/100
15R²/100 = 96
=> R² = 9600/15
=> R² = 640
=> R = 25.3 %
None of the given option matches as even D is not correct as we can say for sure that 25.3 % is rate of interest.
if P = 15000 instead of 1500
Then R² = 64 => R = 8
Then option 3 matches 3️⃣ 8 %
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