a man invested 40%of his wealth in shares,20% of the remaining on property & lost 25% of the remaining in gambling. what is the percentage of his initial wealth is he left with
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Answer: 36 %
Step-by-step explanation:
Let wealth of man = x
Investment made = 40/100 × x
= 0.4x
Remaining wealth = 1 - 0.4x
= 0.6x
Wealth for property = 20/100×0.6x
= 0.2 × 0.6x
= 0.12x
Wealth remaining = 0.60x - 0.12x
= 0.48x
Money lost on gambling=25% × 0.48x
= 25/100 × 0.48x
= 1/4 × 0.48x
= 0.12x
Wealth remaining = 0.48x - 0.12x
= 0.36x
% of initial wealth left with him = wealth remaining / initial wealth × 100
= 0.36x / x × 100
= 36%
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