Rs. 260200 is divided between Ram and Shyam so that the amount that Ram receives in 3 years is the same as that Shyam receives in 6 years. If the interest is compounded annually at the rate of 4% per annum then Ram's share is = ?
A. Rs. 12500
B. Rs. 137745.02
C. Rs. 15200
D. Rs. 108200
Answer: Option B
Solution(By Examveda Team)
Let Ram get Rs. x andShyam get Rs. (260200 - x)
Then Amount get by Ram after 3 years
$${\text{ = }}x \times {\left( {1 + \frac{4}{{100}}} \right)^3}$$
and Amount get by Shyam after 6 years
$$ = \left( {260200 - x} \right) \times {\left( {1 + \frac{4}{{100}}} \right)^6}$$
But both get equal amount
$$\therefore x \times {\left( {1 + \frac{4}{{100}}} \right)^3} = \left( {260200 - x} \right) \times $$ $${\left( {1 + \frac{4}{{100}}} \right)^6}$$
$$\eqalign{ & \Rightarrow \frac{x}{{2600200 - x}} = \frac{{17576}}{{15625}} \cr & \Rightarrow 15625x = 4573275200 - 17576x \cr & \Rightarrow 33201x = 4573275200 \cr & \Rightarrow x = 137745.022 \cr} $$
So, Ram will get Rs. 137745.022
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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