A) 155
B) 156
C) 157
D) 158
Correct Answer: A
Solution :
| Simple interest for 1 yr=Rs.\[(1729-1586)\]=Rs. 143 |
| Simple interest for 2 yr = Rs. 286 |
| \[\therefore \]Principal =Rs.\[(1586-286)\]= Rs. 1300 |
| \[\therefore \]Rate, \[R=\frac{100\times SI}{P\times T}\] |
| \[=\frac{100\times 143}{1300\times 1}=11%\] |
| Here,\[{{a}_{1}}=2,\]\[{{a}_{10}}=29,\]\[n=10\] |
| So, \[{{S}_{10}}=\frac{n}{2}({{a}_{1}}+{{a}_{n}})=\frac{10}{2}({{a}_{1}}+{{a}_{10}})\] |
| \[=\frac{10}{2}(2+29)=155\] |
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