A) Rs. 1500
B) Rs. 1835
C) Rs. 1935
D) Rs. 1950
Correct Answer: A
Solution :
| Let each instalment be Rs. x |
| Then, \[\left( x+\frac{x\times 5\times 1}{100} \right)+\left( x+\frac{x\times 5\times 2}{100} \right)\]\[+\left( x+\frac{x\times 5\times 3}{100} \right)+x=6450\] |
| \[\Rightarrow \] \[\left( x+\frac{x}{20} \right)+\left( x+\frac{x}{10} \right)+\left( x+\frac{3x}{20} \right)+x=6450\] |
| \[\Rightarrow \] \[\frac{21x}{20}+\frac{11x}{10}+\frac{23x}{20}+x=6450\] |
| \[\Rightarrow \] \[\frac{21x+22x+23x+20x}{20}=6450\] |
| \[\Rightarrow \] \[\frac{86x}{20}=6450\] |
| \[\Rightarrow \] \[x=\frac{6450\times 20}{86}\]= Rs. 1500 |
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