Question
A lady invests ₹27,600 in three shares in the ratio 3
: 4 : 5 which pay dividends of 20%, 15% and 5% on her investment for that year, respectively. What is the total dividend?Solution
The ratio of the investments in the three shares is 3:4:5. Total investment is 27,600. Sum of the ratio parts = 3 + 4 + 5 = 12 parts. The investment in each share: Investment in the first share = 3/12 × 27,600 = 1/4× 27,600 = 6,900 Investment in the second share = 4/12× 27,600 = 1/3× 27,600 =9,200 Investment in the third share = 5/12× 27,600=5×2300 = 11,500 Dividend from the first share (20%) = 20% × 6,900 = 0.20 x 6,900= 1380 Dividend from the second share (15%) = 15% x 9, 200 = 0.15 x 9,200 =1380 Dividend from the third share (5%) = 5% × 11500 = 0.05 x11500 = 575 Total dividend = 1,380 + 1,380 + 575 = 3335
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