A sum of money becomes Rs. 20925 in 2 years and Rs. 24412.50 in 5 years. Find the rate of interest and the sum of money.
A. 6.25%, Rs. 18600
B. 6.75%, Rs. 17775
C. 7%, Rs. 18000
D. 8%, Rs. 17560
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & {\text{S}}{\text{.I}}{\text{. }}{\text{for 3 years}} \cr & = {\text{Rs}}{\text{.}}\left( {24412.50 - 20925} \right) \cr & = {\text{Rs}}{\text{. }}3487.50 \cr & {\text{S}}{\text{.I}}{\text{. }}{\text{for 2 years}} \cr & = {\text{Rs}}{\text{.}}\left( {\frac{{3487.50}}{3} \times 2} \right) \cr & = {\text{Rs}}{\text{. }}2325 \cr & \therefore \text{Principal} \cr & = {\text{Rs}}{\text{.}}\left( {20925 - 2325} \right) \cr & = {\text{Rs}}{\text{. }}18600 \cr & {\text{Hence,}} \cr & {\text{rate}} = \left( {\frac{{100 - 2325}}{{18600 \times 2}}} \right)\% \cr & = 6.25\% \cr} $$Related Questions on Interest
Find the simple interest on Rs. 5200 for 2 years at 6% per annum.
A. Rs. 450
B. Rs. 524
C. Rs. 600
D. Rs. 624
Rs. 1200 is lent out at 5% per annum simple interest for 3 years. Find the amount after 3 years.
A. Rs. 1380
B. Rs. 1290
C. Rs. 1470
D. Rs.1200
E. Rs. 1240
Interest obtained on a sum of Rs. 5000 for 3 years is Rs. 1500. Find the rate percent.
A. 8%
B. 9%
C. 10%
D. 11%
E. 12%
Rs. 2100 is lent at compound interest of 5% per annum for 2 years. Find the amount after two years.
A. Rs. 2300
B. Rs. 2315.25
C. Rs. 2310
D. Rs. 2320
E. None of these
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