A sum becomes Rs.1352 in 2 years at 4% per annum compound interest. The sum is = ?
A. Rs. 1225
B. Rs. 1270
C. Rs. 1245
D. Rs. 1250
Answer: Option D
Solution(By Examveda Team)
Let the sum be Rs. x$$\eqalign{ & \therefore 1352 = x{\left( {1 + \frac{4}{{100}}} \right)^2} \cr & \Rightarrow 1352 = x{\left( {1 + \frac{1}{{25}}} \right)^2} \cr & \Rightarrow 1352 = x{\left( {\frac{{26}}{{25}}} \right)^2} \cr & \Rightarrow x = \frac{{1352 \times 25 \times 25}}{{26 \times 26}} \cr & \Rightarrow x = {\text{Rs}}{\text{.}}\,1250 \cr} $$
This Question Belongs to Arithmetic Ability >> Compound Interest
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4%= 1/25
T=2year
P A
(25) 2 (26)2
625 676
Amount is already given i.e 1352
Therefore ,
676= 1352
1 = 1352/676
= 2
Hence ,
Principal = 2× 625
= Rupees 1250