Question

If a boy works for six consecutive days for 8 hours, $\frac{7}{12}$ hours, $8\frac{1}{4}$ hours,$6\frac{1}{4}$ hours, $6\frac{3}{4}$ hours, and 7 hours respectively, how much money will he earn at the rate of Rs 36 per hours?

Answer 1

Step 1: Calculating the total number of hour he worked
Total number of hours he worked in 6 days
$=8+7\frac{1}{2}+8\frac{1}{4}+6\frac{1}{4}+6\frac{3}{4}+7$

$=8+\frac{7\times 2+1}{2}+\frac{8\times 4+1}{4}+\frac{6\times 4+1}{4}\frac{6\times 4+3}{4}+7$

$=8+\frac{14+1}{2}+\frac{32+1}{4}+\frac{24+1}{4}+\frac{24+3}{4}+7$

$=8+\frac{15}{2}+\frac{33}{4}+\frac{25}{4}+\frac{27}{4}+7$

Step 2: Convert the fraction into like fractions and find the number of working hours
Total number of hours worked

$=8+\frac{15}{2}+\frac{33}{4}+\frac{25}{4}+\frac{27}{4}+7$

=$\frac{8\times 4+15\times 2+33+25+27+7\times 4}{4}$

=$\frac{32+30+85+28}{4}$

=$\frac{175}{4}hrs$

Step 3: Calculating the total earning of the boy

It is given, the boy earns Rs.36 per hour
So,
Total pay = 36x total number of hours worked

=$36\times \frac{175}{4}$

=Rs 1575
Hence, the total earning of the boy is Rs. 1575