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Which is better investment: 11% stock at 143  or  9\(\frac{3}{4}\)% stock at 117?

Options:
A .  11% stock at 143
B .   \(9\frac{3}{4}\)  % stock at 117
C .  Both are equally good
D .  Cannot be compared, as the total amount of investment is not given.
Answer: Option B

Let investment in each case be Rs. (143 x 117).


Income in 1st case = Rs. \(\left(\frac{11}{143}\times143\times117\right) = Rs.1287.\)


Income in 2nd case = Rs. \(\left(\frac{39}{4\times117}\times143\times117\right) = Rs. 1394.25\)


Clearly,  \(9\frac{3}{4}\) % stock at 117 is better


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