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Can you explain the answer of this question below:
A sum of money amounts to Rs.9800 after 5 years and Rs.12005 after 8 years at the same rate of simple interest. The rate of interest per annum is
  • A:
    15%
  • B:
    12%
  • C:
    8%
  • D:
    5%
The answer is B.
Verified Answer
Can you explain the answer of this question below:A sum of money amoun...
We can get SI of 3 years = 12005 - 9800 = 2205

SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]

Principal = 12005 - 3675 = 6125 

So Rate = (100*3675)/(6125*5) = 12%
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Most Upvoted Answer
Can you explain the answer of this question below:A sum of money amoun...
Given information:
- Amount after 5 years = Rs. 9800
- Amount after 8 years = Rs. 12005
- Both amounts are at the same rate of simple interest

To find:
- Rate of interest per annum

Solution:
Let the principal amount be P.

Using the formula for simple interest,
Amount after 5 years = P + (P * R * 5/100)
Amount after 8 years = P + (P * R * 8/100)

Substituting the given values,
9800 = P + (P * R * 5/100)
12005 = P + (P * R * 8/100)

Solving these equations, we get:
P = 8000
R = 12%

Therefore, the rate of interest per annum is 12%.

Explanation:
- Simple interest formula: SI = P * R * T/100
- Amount formula: A = P + SI
- Using these formulas, we can derive the equations mentioned in the solution section.
- Solving these equations using substitution method or any other suitable method, we get the required answer.
- The answer is option B, i.e. 12%.
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Community Answer
Can you explain the answer of this question below:A sum of money amoun...
Correct answer is option. 'B'
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Can you explain the answer of this question below:A sum of money amounts to Rs.9800 after 5 years and Rs.12005 after 8 years at the same rate of simple interest. The rate of interest per annum isA:15%B:12%C:8%D:5%The answer is B.
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