Question : A person spends 25% of his income on goods for daily use. Furthermore, he spends 18% of the rest on house rent and 16% of the rest on travel. After that, only INR 861 is left with him. What is his salary (in INR)?
Option 1: $1852 \frac{1}{3}$
Option 2: $1666 \frac{2}{3}$
Option 3: $1563 \frac{1}{3}$
Option 4: $1426 \frac{1}{3}$
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Correct Answer: $1666 \frac{2}{3}$
Solution :
Given: The person spends 25% of his income on goods of daily use.
Let the person's total salary be 100,000y.
Then, the person has left 100,000y × 75% = 75000y
He spends 18% of the rest on house rent.
Then, the person has 75000y × 82% = 61500y
And 16% of the rest on travel.
Then, the person has 61500y × 84% = 51660y
According to the question,
51660y = 861
⇒ y = $\frac{861}{51660}$
So, the total salary is 100000y = $\frac{100000 × 861}{51660}$ = $\frac{86100000}{51660}$ = $\frac{5000}{3}$ = INR $1666 \frac{2}{3}$
Hence, the correct answer is $1666 \frac{2}{3}$.
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