Question

A person spends 25% of his income on goods of daily use. Furthermore, he spends 18% of the rest on house rent and 16% of the rest on travel. After that, only ?861 is left with him. What is his salary?

Answer 1

By calculating the percentage of income left after spending on goods, house rent, and travel, and knowing that ₹861 is left, we deduce that the person's initial salary is approximately ₹16674.

Step-by-step explanation:

To calculate the person's salary we first need to understand that after spending 25% on goods of daily use, 75% of his income is left. Then, he spends 18% on house rent, which leaves him with 82% of the remaining income. Finally, he spends 16% on travel from the amount left after paying rent, keeping 84% of the rest. The money left after all these expenses is ₹861.

The steps to calculate his initial income are:

• First, we find the percentage of income left after spending on rent and travel from the remnant: 0.75 (after goods) × 0.82 (after rent) × 0.84 (after travel) = 0.5166 (51.66% of original income).
• The resulting 51.66% is equivalent to the remaining ₹861. Therefore, we need to find 100% (the full salary).
• To find the full salary, we divide the remaining amount by the percentage left: ₹861 / 0.5166.

Let's do the math:

₹861 ÷ 0.5166 = ₹16674.47 (approximately)

Therefore, the person's full salary is approximately ₹16674.