If a sum of Rs. 13040 is to be repaid in two equal installments at $$3\frac{3}{4}$$ % per annum, what is the amount of each installment?
A. 7045
B. 8000
C. 65067
D. 6889
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {\text{Let}}\,{\text{each}}\,{\text{installment}}\,{\text{be}}\,P \cr & {\text{Hence}}, \cr & {\frac{x}{{ {\left( {\frac{{100}}{{100 + r}}} \right) + {{\left( {\frac{{100}}{{100 + r}}} \right)}^2}} }}} \cr & Or,\,\frac{x}{{ {1 + {\frac{{15}}{{400}}} } }} + \frac{x}{{ {1 + {{\left( {\frac{{15}}{{400}}} \right)}^2}} }} = Rs.\,13040 \cr & {\text{On}}\,{\text{solving,}}\,{\text{it}}\,{\text{gives}}\,x = Rs.\,6889 \cr} $$Join The Discussion
Comments ( 3 )
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Given installments are calculated on compound interest. As it is not mentioned in the question clearly, compound interest calculation is totally unexpected. However, to calculate installments based on simple interest, you should multiply the power term with interest rate i.e x/ (1+2* (15/4))
any easy solution ?
need alternative ans.