Q.11) Mani's income is equal to the three- fifth of Shiva's annual income. If Mani spends 20% of his monthly income for household purpose, 25% of remaining on transportation and 30% of rest on food and the remaining amount he has is Rs.8400, what is the annual income of 25/ Shiva? a) Rs.5,00,000 b) Rs.3,60,000 c) Rs.4,00,000 d) Rs.4,20,000 e) Rs.4,80,000
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Rs. 4,00,000 is the annual income of Shiva.
Step-by-step explanation:
Let Shiva's income be x
so, Mani's income will be = 3x/5 (given)
Mani's monthly income = 3x/(5 * 12) = x/20
Mani's monthly expense on household purpose = 20%
= 20/100 * x/20
= x/100
Remaining = x/20 - x/100 = x/25
Mani's monthly expense on transportation = 25% of remaining
= 25/100 * x/25
= x/100
Remaining = x/25 - x/100 = 3x/100
Mani's monthly expense on food = 30%
= 30/100 * 3x/100
= 9x/1000
Rest money left with him = 3x/100 - 9x/1000
= 21x/1000
A.T.Q.
Rest money left with him = Rs. 8400
so,
21x/1000 = 8400
x = (8400 * 1000)/21
x = 4,00,000
So, Shiva's annual income = Rs. 4,00.000
Hence, option C is the correct answer.
Learn more: Find the annual income
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