A sum of Rs. 1600 gives a simple interest of Rs. 252 in 2 years and 3 months. The rate of interest per annum is = ?
A. $$5\frac{1}{2}$$ %
B. 8 %
C. 7 %
D. 6 %
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & {\text{Time = 2 years 3 months}} \cr & {\text{ = 2 + }}\frac{3}{{12}}{\text{ = }}\frac{9}{2}{\text{ years}} \cr & {\text{We know }}\boxed{{\text{SI = }}\frac{{{\text{P}} \times {\text{T}} \times {\text{R}}}}{{100}}} \cr & {\text{P = Rs 1600,}} \cr & {\text{T = }}\frac{9}{4}{\text{years,}} \cr & {\text{SI = Rs 252}} \cr & {\text{Put values in the formula ,}} \cr & \Rightarrow 252 = \frac{{1600 \times {\text{R}} \times 9}}{{100}} \cr & \Rightarrow 252 = 36{\text{R}} \cr & \Rightarrow {\text{R = }}\frac{{252}}{{36}} = 7\% \cr} $$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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