To determine how much the worker saves per week, we need to follow these steps:
1. Convert the fractional expenses to decimal form:
- Tea expense: [tex]\( ₹20 \frac{2}{5} \)[/tex]
- Fraction [tex]\( \frac{2}{5} \)[/tex] as a decimal is [tex]\( 0.4 \)[/tex]
- Tea expense becomes [tex]\( ₹20 + ₹0.4 = ₹20.4 \)[/tex]
- Lunch expense: [tex]\( ₹50 \frac{1}{2} \)[/tex]
- Fraction [tex]\( \frac{1}{2} \)[/tex] as a decimal is [tex]\( 0.5 \)[/tex]
- Lunch expense becomes [tex]\( ₹50 + ₹0.5 = ₹50.5 \)[/tex]
- Miscellaneous expense: [tex]\( ₹84 \frac{4}{5} \)[/tex]
- Fraction [tex]\( \frac{4}{5} \)[/tex] as a decimal is [tex]\( 0.8 \)[/tex]
- Miscellaneous expense becomes [tex]\( ₹84 + ₹0.8 = ₹84.8 \)[/tex]
2. Calculate the total daily expenses:
- Add up all the daily expenses:
[tex]\[
₹20.4 (tea) + ₹50.5 (lunch) + ₹84.8 (miscellaneous) = ₹155.7
\][/tex]
3. Calculate the daily savings:
- Subtract the total daily expenses from the daily wage:
[tex]\[
₹200 (daily wage) - ₹155.7 (total daily expenses) = ₹44.3
\][/tex]
4. Calculate the weekly savings:
- Multiply the daily savings by the number of days in a week (7):
[tex]\[
₹44.3 \times 7 \approx ₹310.1
\][/tex]
Thus, the worker saves approximately ₹310.1 per week.
