Question

after spending 50% of his income and giving 20% of the remainder,man is left with 6000.find his income
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Answer 1

$\large \: \sf\underline{\underline{ {Question }}}:- \:$

→ After spending 50 % of his income and giving 20% of the remainder ,man is left with 6000 .Find his income .

$\large \sf\underline{\underline{ \red{ {Answer }}}}:- \: \: \\ \\ \to \sf Rs. 15,000 \: \\ \\ \large \: \sf\underline{\underline{ { \blue{To \: Find}}}}:- \: \: \\ \to \bf \: his \: income \:$

$\large \: \sf\underline{\underline{ { \purple{Solution}}}}:- \: \ \\ → \sf Let \: \: his \: income \: is \: x \: \:$

He spending 50 % of his income -

→ 50 % of x → 0.5 x

hence , remaining amount of his salary -

→ x - 0.5x = 0.5 x

Now ,20 % of remainder -

$\mapsto \sf \: 20\% \: \: of \: \: 0.5x \: \\ \\ \: \sf \: = \frac{20}{100} \times 0.1x \\ \\ \: \sf \: = 0.1 x$

Therefore ,

Total used of salary

$\mapsto \sf \: 0.1x + 0.5x = 0.6x$

Hence, men used 0.6x of his salary ,so remainder is -

$\implies \sf x - 0.6x = 0.4x$

so ,left of his salary = 0.4x

It is given that Rs. 6000

$\mapsto \sf 0.4x = 6000 \\ \\ \mapsto \sf \: x = \frac{60000}{4} \\ \\ \mapsto \sf \: x = 15,000 \:$

Hence ,his salary is Rs. 15,000