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Question
Saurav invested 10%, 30% and 40% of his savings in buying shares of 3 different companies A, B and C which declared dividends of 12%, 15% and 16% respectively. If Saurav's total income from dividends is Rs 3,025, find his savings and the amount invested in each company.
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Solution
Let total savings be x.
Investment in company A = 10 % of x = `10/100 xx x = x/10`
Investment in company B = 30 % of x = `30/100 xx x = (3 x)/10 `
Investment in company C = 40 % of x = `40/100 xx x = (4 x)/10 = (2 x)/5`
Dividend given by company A = 12 % of `x/10`
`(12 xx x)/(100 xx 10) = 0.012 x` ........(i)
Dividend given by company B =15 % of `(3 x)/10`
=`(15 xx 3 x)/(100 xx 10) = 0.045 x` ...............(ii)
Dividend given by company C = 16 % of `(2 x)/5`
`(16 xx 2 x)/(100 xx 5) = 0.064 x` ..............(iii)
(i) + (ii) +(iii) =Rs 3,025 ........... (given)
(0.012 + 0.045 + 0.064)x = Rs 3,025
0.12 l x=Rs 3,025
x = Rs `3025/0.121` = Rs 25000
Hence, Saurav's savings = Rs 25,000
Investment in company A = Rs `x / 10` = Rs `25000/10` = Rs 2500
Investment in company B = Rs `(3 x) / 10` = Rs `75000/10` = Rs 7500
Investment in company C = Rs `(2 x) / 5` = Rs `50000/5` = Rs 10000
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