a man spends 5% of his income on charity . on the remaining part ,he has to pay 8% tax . if the tax amounts to ₹5472 , find his gross income
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let man's salary= X
spend on charity= X x 5/100= 5X/100
Remaining money= X - 5X/100
tax on remaining money= (X- 5X/100) x 8/100 = 5472
(100X - 5X)/100 x 8/100= 5472
95X/100 x 8/100 = 5472
X = (5472 x 100 x 100)/(95 x 8)
X = 72,000
The gross income of man = 72,000 rup Ans
spend on charity= X x 5/100= 5X/100
Remaining money= X - 5X/100
tax on remaining money= (X- 5X/100) x 8/100 = 5472
(100X - 5X)/100 x 8/100= 5472
95X/100 x 8/100 = 5472
X = (5472 x 100 x 100)/(95 x 8)
X = 72,000
The gross income of man = 72,000 rup Ans
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