A person spends 25% of his income on goods of daily uses. Furthermore, he spends 18% of the rest on house rent and 16% of the rest on travel. After that only Rs 861 is left with him. What is his salary?
This questions was previously asked in
ssc cgl 2023 pre
Rs 1852 1/3
Incorrect AnswerRs 1666 2/3
Correct AnswerRs 1563 1/3
Incorrect AnswerRs 1426 1/3
Incorrect AnswerExplanation:
- The person spends 25% of his income on daily goods, leaving 75% of his income.
- From the remaining 75%, he spends 18% on house rent.
- This leaves him with 82% of the remaining amount after daily goods and rent.
- Then, he spends 16% of this remainder on travel.
- The remaining amount after these expenditures is Rs 861.
Let's calculate the salary step by step:
1. Let the salary be X.
2. After spending on daily goods, he has 0.75X left.
3. After rent, he has 0.75X * 0.82 left.
4. After travel, he has 0.75X * 0.82 * 0.84 = Rs 861.
Now, solving for X:
\[ X = \frac{861}{0.75 \times 0.82 \times 0.84} = Rs 1666\frac{2}{3} \]
- The options given:
- Option 1: Rs 1852\[ \frac{1}{3} \]
- Option 2: Rs 1666\[ \frac{2}{3} \]
- Option 3: Rs 1563\[ \frac{1}{3} \]
- Option 4: Rs 1426\[ \frac{1}{3} \]