Question : Bhavani spent 15% of his monthly income on kid’s education and 20% on food. 40% of the remaining she spent on sports and 30% on transport. She is left with an amount of Rs. 10,257 after all these expenditures. What is Bhavani’s monthly income?
Option 1: Rs. 45,800
Option 2: Rs. 48,000
Option 3: Rs. 52,600
Option 4: Rs. 81,965
Correct Answer: Rs. 52,600
Solution :
Let Bhavani's monthly income be 100 units.
Then after spending 15% of his monthly income on kid’s education and 20% on food,
The remaining amount = (100 – 15 – 20) = 65 units
40% of the remaining she spent on sports and 30% on transport.
So, the amount she is left with = (100 – 40 – 30)% of 65 = 30% of 65 = $\frac{39}{2}$ units
According to the question,
$\frac{39}{2}$ units are equivalent to Rs. 10,257.
So, 100 units are equivalent to $\frac{10257×100×2}{39}$ = Rs. 52,600
Hence, the correct answer is Rs. 52,600.
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