ICSE Class 10 Answered

Original sum invested = x

Then number of Rs. 100 shares purchased at premium of Rs 12 = x/(100 +12) = x/112

The Income per original share @ 6%= Rs 6

Total Income = (Number of shares)*(earning per share)

= (Number of shares)*6 = (x/112)*6 = 3x/56

Proceeds from sale of original shares @ Rs. 96 per share

= (Number of Shares)*96 = (x/112)*96 = 6x/7

Number of Rs 10 shares purchased @ Rs 8 per share from proceeds of original shares

= (Proceeds from sale of original shares)/8 = (6x/7)/8 = 3x/28

Income per new share of Rs 10 @ 10% = (10/100)*10 = Rs.1

Total income from new shares

=  (Number of shares)*(Income per share)

= (3x/28)*1 = 3x/28

Given change in income = 540 =

= (Income from old shares) - (Income from new shares)

Therefore:

540 = 3x/28 - 3x/56 = 3x/56

Therefore:

x = 540/(3/56) = 10080

Answer:

Original sum invested = Rs.10,080