49.
The answer is: B
Explanation
Answer: B - Rs. 800
Step by step calculation:
Step 1 - Find Simple Interest for 2 years:
Amount in 5 years = Rs. 1040 ,Amount in 3 years = Rs. 944
SI for (5−3) = 2 years = 1040 − 944 = Rs. 96
Step 2 - Find SI for 1 year:
SI per year = 96 ÷ 2 = Rs. 48
Step 3 - Find SI for 3 years:
SI for 3 years = 48 × 3 = Rs. 144
Step 4 - Find Principal:
Principal = Amount in 3 years - SI for 3 years Principal = 944 - 144 = Rs. 800
The key insight:
- In Simple Interest, the interest earned every year is equal
- So, difference in amounts over any period = SI for that period
- Difference between 5yr and 3yr amounts = SI for exactly 2 years
- Everything else follows from that