Question

Sunil spend 5% of his income in insurance and 5% of remaining paying on tax. now he left with 20 rs more thsn 90% of his income. find income

Answer 1

income of Sunil
is 8000

Answer 2

$Let \: the \:income \: of \: Sunil = Rs \:x$

$</p><p>[tex] Insurance = 5\% \:of \: income \\= \frac{5}{100} \times x \\= Rs \: 0.05x$

$Remaining \: salary \: after \: paying \\ insurance = Income - Insurance \\= x - 0.05x \\= (1-0.05)x = 0.95x$

$Tax = 5\% \: of \: Remaining \: salary \\= \frac{5}{100} \times 0.95x \\= 0.05 \times 0.95x \\= 0.0475x$

$90 \% \: of \: income = \frac{90}{100} \times x \\= 0.9x$

/* According to the problem given */

$x - insurance - tax = 0.9x + Rs \:20$

$\implies x - 0.05x - 0.0475x - 0.9x = 20$

$\implies (1-0.05-0.0475-0.9)x = 20$

$\implies (1-0.9975)x = 20$

$\implies 0.0025x = 20$

$\implies \frac{25}{10000} x = 20$

$\implies x = 20 \times \frac{10000}{25}$

$\implies x = 8000$

Therefore.,

$\red{ Sunil \:Income } \green {= Rs\:8000}$

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