Rajan spent 10% of his salary on rent. He spent 20% of the remaining part of the salary on transport. After which he spent 40% of the balance of the salary on food. Further, he spent 80% of the balance on various bills. He deposits ₹5000 in the bank and kept the remaining ₹1480 for his own petty expenditure. Find his monthly salary (in ₹).
Answer & explanation
Correct answer: option 1
Let total salary be Rs. 100x
Salary spent on rent = \(\frac{1}{10}\) × 100x = 10x
Remaining salary = 100x - 10x = 90x
Remaining salary spent on transport = 20% of 90x
=\(\frac{1}{5}\) × 90x = 18x
Remaining salary spent on food = 40% of 72x
= \(\frac{2}{5}\) × 72x = 28.8x
Remaining salary spent on various bills = 80% of 43.2x
= \(\frac{4}{5}\) × 43.2x = 34.56x
Remaining salary = 100x – (10 + 18 + 28.8 + 34.56)x
= (100 – 91.36)x
= 8.64x
Money in bank and saved for his own expenditure = Rs. (5000 + 1480)
= 6480
According to question ,
8.64x = Rs. 6480
x = \(\frac{6480}{8.64}\)
x = 750
100x = 750 × 100
So , Total salary Rs. 75,000