Question

A man invests 3,072 in a company paying
5 % per annum, when its 10 share can be
bought for 16 each. Find :
(i) his annual income;
(ii) his percentage income on his investment.

Answer 1

$\huge\mathbb{SOLUTION:-}$

$\bf{Given:-}\begin{cases}\sf{Money\: invested=3072}\\ \sf{Nominal \:value \:of\: 1\: share \:=10Rs}\\ \sf{Market \:value\:of\:1\: share=16}\end{cases}$

Now

$\bf\underline{\red{\:\:\:\:\:\:A.T.Q\:\:\:\:\:\:}}$

• Now find the No. of share purchase in Rs 16

$\sf:\implies No.\:of\: shares\: bought=\cancel{\dfrac{3072}{16}}=192\\ \\ \sf\implies No.\:of\:shares\:bought\:in\:16\:rs=192$

• So find the Nominal value of 192 shares

$\sf\implies Nominal\:value=192\times 10\\ \\ \sf\implies 1920$

• Now find the Annual income

$\boxed{\sf{Annual\:income=Rate\times nominal\:value}}$

$\sf\implies Annual\: income=5\%of\:1920\\ \\ \sf\implies Annual\: income= \dfrac{\cancel5}{\cancel{10}\cancel0}\times 192\cancel0\\ \\ \sf\implies Annual\: income=\cancel{\dfrac{192}{2}}\\ \\ \sf\implies Annual\: income=96$

• Now we have find the Income %

$\boxed{\sf{Income\%=\dfrac{Annual\: income}{Investment}\times 100\%}}$

$\bf{We\:have}\begin{cases}\sf{Annual\: income=96}\\ \sf{Investment=3072}\end{cases}$

Now find the income%

$\sf\implies Income\%=\dfrac{\cancel{96}}{\cancel{3072}}\times 100\%\\ \\ \sf\implies Income\%= \dfrac{1}{\cancel32}\times \cancel{100}\%\\ \\ \sf\implies Income\%=3.125\%$

$\boxed{\sf{Annual\: income=96}}$

$\boxed{\sf{Income\%=3.125\%}}$

Answer 2

${\underline{\huge{\mathbf{\color{pink}{question}}}}}$

A man invests 3,072 in a company paying

5 % per annum, when its 10 share can be

bought for 16 each. Find :

(i) his annual income;

(ii) his percentage income on his investment.

_________________________❤

${\underline{\huge{\mathbf{\color{pink}{solution}}}}}$

Given:-

• money invested = Rs.3702
• nominated value of 1 share = Rs.10
• market value of 1 share = Rs. 16

step by step solution :-

Now find the No. of share purchase in Rs 16 = 3072\16

Now find the No. of share purchase in Rs 16 = 192

Nominal value of 192 shares = 192 * 10 = 1920

• annual income = rate * annual value

annual income = 5% * 1920

annual income = $\dfrac{5}{100} * 1920$

annual income = $\dfrac{192}{5}$

annual income = 96

• income% = $\dfrac{annual\:income}{investment} * 100%</li></ul><p></p><p></p><p></p><p></p><p>[tex]\sf\implies Income\%=\dfrac{\cancel{96}}{\cancel{3072}}\times 100\%$

  $\sf\implies Income\%= \dfrac{1}{\cancel32}\times \cancel{100}\%$

  $\sf\implies Income\%=3.125\%$

  ${\underline{\huge{\mathbf{\color{blue}{answers}}}}}$

  • annual income = 96
  • annual % = 3.125%

  ___________________________❤

  THANK YOU ❤