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An amount of ‘P’ rupees in invested in Scheme ‘A’ at compound interest of 20% p.a. for a period of 2 years. The amount of interest received from this invested is reinvested in another scheme ‘B’ for 2 years at 15% p.a. simple interest. The amount received from scheme ‘B’ fnally after 2 years is Rs 1430. Find ‘P’.
Rs 10833
Rs 2500
Rs 3250
Rs 2700
Rs 910
Let's calculate:
- Scheme A:
- Principal (P) is invested at 20% compound interest for 2 years.
- Final amount = P×(1+0.20)2=P×1.44
- Interest from Scheme A = 1.44P−P=0.44P
- Scheme B:
- This interest (0.44P) is reinvested for 2 years at 15% simple interest.
- Final amount from Scheme B = 0.44P×(1+2×0.15)=0.44P×1.30=0.572P
- Given final amount from Scheme B is Rs 1430.
- Equation:
- 0.572P=1430
- Solving for P: P=14300.572≈2500
- Correct Option:
- Option 2: Rs 2500
So, Option 2: Rs 2500 is correct. .
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