Mr. Shameem invested $33 \frac{1}{3} %$ of his savings in $20 %$ Rs. 50 shares quoted at Rs. 60 and the remainder of the savings in $10 %$ Rs. 100 shares quoted at Rs. 110. If his total income from these investments is Rs. 9,200; find:
i) his total savings
ii) the number of Rs. 50 shares
iii) the number of Rs. 100 shares

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Solution

Let Mr. Shameem Savings = x which is divided in Part A and B.
$A = \frac{1}{3} x$ and $B = \frac{2}{3} x$
Investment done by Part “A”
Fave value = Rs. 50; Market value = Rs. 60; Total number of shares bought $= \frac{1}{180} x$
$D i v i d e n d = \frac{F V \times N o . o f s h a r e s \times A n n u a l d i v i d e n d}{100} = 50 \times \frac{2}{330} \times \frac{10}{100} = R s . \frac{1}{18} x$

Investment done by Part “B”
Fave value = Rs. 100; Market value = Rs. 110; Total number of shares bought $= \frac{2}{330} x$
$D i v i d e n d = \frac{F V \times N o . o f s h a r e s \times A n n u a l d i v i d e n d}{100} = 100 \times \frac{2}{330} \times \frac{10}{100} = R s . \frac{2}{33} x$

$T o t a l I n c o m e = \frac{2}{33} + \frac{1}{18} x = \frac{69}{594} x$
$\frac{69}{594} x = 9200 x = 9200 \times \frac{594}{69} = R s .79200$
A = Rs. 26400 Number of Rs. 50 shares = 440 shares
B = Rs. 52800 Number of Rs. 100 shares = 480 shares

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