A man sold rupees 100 shares at 10% discount and invested in 15% rupees 50 shares at rupees 33 rd solution at 10% premium instead of 10% discount you would have on 454 find the number of shares sold by him
Answers
The number of shares sold by him are 99.8
Let the number of shares be sold = x
Selling price of x shares = 90x ( 10% Discount)
Selling price of x shares = 110x ( 10% Premium)
Each share of 50 than can be purchased with 90x = 90x/33
Face value = 50 × 90/33x
Annual Income = 15% of 50 × 90/33x
= 15/100 × 50 × 90/33x
= 225/11x
Each share of 50 than can be purchased with 110x = 110x/33
Face value = 50 × 110/33x
Annual Income = 15% of 50 × 110/33x
= 15/100 × 50 × 110/33x
= 25x
Therefore,
25x - 225x/11 = 454
50x = 454 × 11
x = 454 × 11 / 50
x = 99.8
Thus, the number of shares sold by him are 99.8
99 Shares sold by him
Step-by-step explanation:
Let say number of Shares = S
at 10 % Discount value = 90S
at 10 % premium value = 110S
Extra income = 20S
Number of shares bought with 20S = 20S/33
Premium per share = (15/100) 50 = 7.5 Rs
Premium on (20S/33) Share = (20S/33) * 7.5
= 150S/33
= 50S/11
50S/11 = 450
=> S = 99
99 Shares sold by him
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