Tamil Nadu Board of Secondary EducationHSC Commerce Class 11th

A man invests ₹ 13,500 partly in 6% of ₹ 100 shares at ₹ 140 and the remaining in 5% of ₹ 100 shares at ₹ 125. If his total income is ₹ 560, how much has he invested in each? - Business Mathematics and Statistics

Sum

A man invests ₹ 13,500 partly in 6% of ₹ 100 shares at ₹ 140 and the remaining in 5% of ₹ 100 shares at ₹ 125. If his total income is ₹ 560, how much has he invested in each?

Solution

Let the amount invested in 6% of ₹ 100 shares at ₹ 140 be x.

Then the amount invested in 5% of ₹ 100 shares at ₹ 125 is ₹ 13500 – x.

Income from 6% shares = Number of shares × Face value of a share × Rate of dividend

= "x"/140 xx 100 xx 6/100

= (3"x")/70

Income from 5% shares = Number of shares × Face value of a share × Rate of dividend

= (13500 - "x")/125 xx 100 xx 5/100

= (13500 - "x")/25

Given that the total income = ₹ 560

(3"x")/70 + (13500 - "x")/25 = 560

((3"x") xx 5 + (13500 - "x") xx 14)/350 = 560

(15"x" + 13500 xx 14 - 14"x")/350 = 560

x + 13500 × 14 = 560 × 350

x = 196000 – 189000 = 7000

Amount invested at 6% stock = ₹ 7,000

Amount invested at 5% stock = ₹ 13500 – ₹ 7000 = ₹ 6500

Concept: Stocks, Shares, Debentures and Brokerage
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