1.On what sum of money will CI for 2 years at 5% p.a amount to Rs 164?
A)100
b)3200
c)2000
d)1500
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Answer:
On what sum will the compound interest at 5% per annum for 2 years compounded annually be ₹164. The required sum is ₹1600.
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❄️ Given :
- Rate = 5% per annum
- Compound Interest (CI) = Rs. 164
- Time (t) = 2 years
______________________
❄️ Formula we are using :
- CI = A – P
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❄️ Solution :
- Let P be x
↝ CI = A – P
➜ 164 = P (1 + R/100)^n - P
➜ P [(1 + R/100)^n - 1]
➜ x [(1 + 5/100)² - 1]
➜ x [(105/100)² - 1]
➜ 164 = x ((1.05)² - 1)
➜ x = 164/((1.05)² - 1)
➜ 164/0.1025
➜ Rs. 1,600
Therefore, the requested sum is Rs. 1,600.
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