Arvind deposited a sum of money with a bank on 1st january, 2012 at 8% simple interest per annum. He received an amount 3144 on 7th August, 2012. The money he deposited with the bank was = ?
A. Rs. 3080
B. Rs. 2500
C. Rs. 3000
D. Rs. 3100
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & {\text{According to the question,}} \cr & {\text{Amount = Rs}}{\text{. 3144}} \cr & {\text{Rate = 8}}\% \cr & {\text{Let, Principal = Rs}}{\text{. }}x \cr & \therefore {\text{Time = }} \cr & \frac{{30 + 29 + 31 + 30 + 31 + 30 + 31 + 7}}{{366}} \cr & = \frac{{219}}{{366}} \cr & \therefore {\text{SI = }}\frac{{{\text{P}} \times {\text{R}} \times {\text{T}}}}{{100}} \cr & \Rightarrow 3144 - x = \frac{{x \times 8 \times 219}}{{100 \times 366}} \cr & = {\text{Rs}}{\text{. 3000}} \cr & \cr & {\bf{Alternate}} \cr & \Rightarrow {\text{P}} + \frac{{{\text{P}} \times 8 \times \frac{{219}}{{365}}}}{{100}} = 3144 \cr & \Rightarrow {\text{P}} + \frac{{{\text{P}} \times 8 \times \frac{3}{5}}}{{100}} = 3144 \cr & \Rightarrow 100{\text{P}} + \frac{{24{\text{P}}}}{5} = 314400 \cr & \Rightarrow \frac{{524{\text{P}}}}{5} = 314400 \cr & \Rightarrow {\text{P = }}\frac{{314400 \times 5}}{{524}} \cr & \Rightarrow {\text{P}} = {\text{600}} \times {\text{5}} \cr & \Rightarrow {\text{P = Rs}}{\text{.}} \, 3000 \cr} $$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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