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Vishal invested 3/11th part of his monthly income in stocks share and that of 1/4th part in mutual fund. He spent the remaining amount on d…

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Vishal invested 3/11th part of his monthly income in stocks share and that of 1/4th part in mutual fund. He spent the remaining amount on domestic needs and apparel in the ratio 5 : 3 respectively. The expenditure on domestic needs was Rs.2100 What is his annual income ?
  • ARs. 84480
  • BRs. 85480
  • CRs. 86480
  • DRs. 83480
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CCommunity
Solution
Let the annual income = Rs. $x$

=> Total investments in stocks and mutual funds = $\frac{3x}{11} + \frac{x}{4}$
= Rs. $\frac{23x}{44}$
=> Remaining amount = $x - \frac{23x}{44} = \frac{21x}{44}$
Expenditure on domestic needs = $\frac{5}{8} \times \frac{21x}{44} = 2100$
=> $x = \frac{2100 * 44 * 8}{5 * 21}$
=> $x = 7040$
$\therefore$ Annual income = 12 * 7040 = Rs. 84,480
0
CCommunity
Solution
Let the annual income = Rs. $x$

=> Total investments in stocks and mutual funds = $\frac{3x}{11} + \frac{x}{4}$
= Rs. $\frac{23x}{44}$
=> Remaining amount = $x - \frac{23x}{44} = \frac{21x}{44}$
Expenditure on domestic needs = $\frac{5}{8} \times \frac{21x}{44} = 2100$
=> $x = \frac{2100 * 44 * 8}{5 * 21}$
=> $x = 7040$
$\therefore$ Annual income = 12 * 7040 = Rs. 84,480