For the following investments, calculate the percentage income.(a) Rs $7,225$ pays $12%$ when a Rs $100$ share is available at $15%$ discount.(b) For Rs $7,168$ man pays $15%$ when a Rs $80$ share is available at $40%$ premium - Noon Academy

For the following investments, calculate the percentage income.(a) Rs $7,225$ pays $12%$ when a Rs $100$ share is available at $15%$ discount.(b) For Rs $7,168$ man pays $15%$ when a Rs $80$ share is available at $40%$ premium

Class 10 | Frank | ICSE | Maths | Shares and Dividends

For the following investments, calculate the percentage income.(a) Rs $7,225$ pays $12%$ when a Rs $100$ share is available at $15%$ discount.(b) For Rs $7,168$ man pays $15%$ when a Rs $80$ share is available at $40%$ premium

Solution: –

According to given question-

Nominal value of each share = ₹ $100$ is available at $15%$ discount

Therefore, Market value $= (₹ 100 - 15 % of ₹ 100)$

= ₹ $(100 -15)$

= ₹ $85$

Number of shares purchased $= 7,225/85$

= ₹ $85$

Hence, the face value of 85 shares = ₹ $100 × 85$

= ₹ $8,500$

Dividend $= 12%$

Annual income $= (12 × 8,500)/100$

= ₹ $1,020$

Therefore, percentage income $= (1,020 × 100)/7,225$

$= 14.12%$

(b) For Rs $7,168$ man pays $15%$ when a Rs $80$ share is available at $40%$ premium.

Solution: –

According to given question-

Nominal value of each share = ₹ $80$ is available at $40%$ premium

Therefore, Market value = $(₹ 80 + 40 % of ₹ 80)$

= ₹ $(80 + 32)$

= ₹ $112$

Number of shares purchased $= 7,168/112$

= ₹ $64$

Hence, face value of $64$ shares = ₹ $80 × 64$

= ₹ $5,120$

Dividend = $15%$

Annual income = $(15 × 5,120)/100$

= ₹ $768$

Therefore, percentage income $= (768 × 100)/7,168$

$= 10.71%$

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