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A sum of money at a fixed rate of simple interest amount to Rs 1,630 in 3 years and to Rs 1,708 in 4 years. Find the sum (in Rs)
1132
1296
1396
1448
Let's solve this problem step by step:
- The amount after 3 years is Rs 1,630 and after 4 years is Rs 1,708.
- The interest earned in the 4th year is Rs 1,708 - Rs 1,630 = Rs 78.
- In simple interest, the interest per year remains the same.
- So, the simple interest for 3 years is Rs 78 x 3 = Rs 234.
- Let the original principal be P.
- Then, P + 234 = 1,630.
- Solving for P, P = 1,630 - 234 = Rs 1,396.
Thus, the original sum is Rs 1,396.
- Option 3: 1396 is the correct answer.
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