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A sum of Rs16,000 is divided between Rahul and Vinod. Rahul invested is sum at 7.5% p.a. for 4 years at simple interest,and
Vinod invested is sum at 12% p.a for 4 years simple interest. If the total interest received by Rahul and Vinod together is Rs6,024
then the sum invested by Rahul is:
Rs 8,200
Rs 9,200
Rs 8,400
Rs 9,500
Let's solve the problem step by step:
- Rahul and Vinod's total investment is Rs 16,000.
- Rahul's interest rate is 7.5% per annum for 4 years, and Vinod's is 12% per annum for the same duration.
- Total interest earned by both is Rs 6,024.
Let's denote Rahul's investment as Rs X. So, Vinod's investment is Rs (16,000 - X).
- Interest earned by Rahul: (X×7.5×4)/100=0.30X
- Interest earned by Vinod: ((16,000−X)×12×4)/100=0.48(16,000−X)
The equation for the total interest is:
0.30X+0.48(16,000−X)=6,024
Solving this:
- 0.30X+7,680−0.48X=6,024
- −0.18X=6,024−7,680
- −0.18X=−1,656
- X=9,200
- ?? Correct Answer is Option 2: Rs 9,200 ??
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