A man sold some rs.20 shares paying 8%dividend at 10% discount . And invested proceeds in rs. 10 shares paying 12% dividend at 50 % premium . If change in his annual income us rs. 600 , find no.of shares sold by the man.

ICSE Class 10 Answered

Asked by jyotiguptajhansi0909 | 29 Jan, 2018, 09:44: PM

Expert Answer

begin mathsize 16px style Let space straight x space be space the space number space of space shares space be space sold. nomianal space value space of space straight a space share equals Rs. space 20 Rate space of space dividend space equals space 8 percent sign Dividend space on space each space share equals 8 over 100 cross times 20 equals Rs. space 8 over 5 Dividend space on space straight x space number space of space shares equals Rs. space fraction numerator 8 straight x over denominator 5 end fraction Selling space price space of space each space share equals 20 minus 20 over 100 cross times 20 equals Rs. space 16 Sum space invested space equals space Rs. space 16 straight x Nominal space value space of space each space share space equals space Rs. space 10 Market space value space of space each space share equals 10 plus 50 over 100 cross times 10 equals Rs. space 15 Number space of space shares space purchased equals fraction numerator sum space invested space over denominator Market space value space of space each space share end fraction equals fraction numerator 16 straight x over denominator 15 end fraction Income space on space each space share equals 12 over 100 cross times 10 equals Rs. space 1.20 Total space income space equals space 1.20 cross times fraction numerator 16 straight x over denominator 15 end fraction equals space Rs. space 1.28 straight x Change space in space income equals Rs. space 600 1.6 straight x minus 1.28 straight x equals 600 0.32 straight x equals 600 straight x equals 1875 Number space of space shares space sold equals 1875 end style

Answered by Sneha shidid | 30 Jan, 2018, 09:32: AM

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ICSE 10 - Maths

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