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What sum of money at compound interest will not to Rs. 6930 in 3 years, if the rate of wateret for
the fast year, 10% for the second year and 20% for the third year?
Rs. 4000
P Rs. 5000
825231162 23
125231162 25
825231162
25
Rs. 5500
Rs. 4500
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Answer:
Principal is ₹ 5000.
Step-by-step explanation:
What sum of money at compound interest will amount to Rs. 6930 in 3 years, if the rate of interest is 5% for the first year, 10% for the second year and 20% for the third year?
Given:
Amount after 3 years = ₹ 6930
Rate of interest for 1, 2 and 3 rd year = 5%, 10% and 20% respectively
Concept used:
Amount = Prinicpal × (1 + r/100)^n
Calculation:
Amount = Principal × (1 + 5/100) × (1 + 10/100) × (1 + 20/100)
₹ 6930 = Principal × 21/20 × 11/10 × 6/5
Then, Principal = 6930 × 20 × 10 × 5/(21 × 11 × 6) = ₹ 5000
∴ Principal is ₹ 5000.
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