A sum of Rs. 50,250 is divided into two parts such that he simple interest on the first part for $$7\frac{1}{2}$$ years at $$8\frac{1}{3}\% $$ p.a. $$\frac{5}{2}$$ is times the simple interest on the second part for $$5\frac{1}{4}$$ years at 8% p.a. What is the difference (in Rs.) between the two parts?
A. 12,750
B. 12,570
C. 15,270
D. 10,275
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & {\text{S}}{\text{.I}}{{\text{.}}_1} = \frac{5}{2} \times {\text{S}}{\text{.I}}{{\text{.}}_2} \cr & \frac{{x \times 25 \times 15}}{{100 \times 3 \times 2}} = \frac{5}{2} \times \frac{{y \times 8 \times 21}}{{100 \times 4}} \cr & 25 \times 5 \times x = 5 \times 2 \times 21 \times y \cr & x:y = 210:125 = 42:25 \cr & = 42 - 25 = 17{\text{ units}} \cr & 67{\text{ units}} = 50250 \cr & 1{\text{ unit}} = 750 \cr & 17{\text{ units}} = 750 \times 17 = 12750 \cr & {\text{Difference between both parts}} = 12750 \cr} $$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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