Question

1. Find the increased/decreased percentage, when:
(a) In January Rahul worked total of 35 hours. In February he worked 45 hour
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Answer 1

Here,

• Work hour of Rahul in January = 35 hrs
• Work hour of Rahul in February = 45 hrs

Since,

• There is increment in work hour, the work hour has increased by certain percentage.

Let, 35 hrs has increased by x % so as to become 45 hrs.

$\to 35 + \bigg(35 \times \frac{x}{100} \bigg) = 45 \\ \\ \to \: 35 + \frac{35x}{100} = 45 \\ \\ \to \: \frac{3500 + 35x}{100} = 45 \\ \\ \to \: 35(100 + x) = 45 \times 100 \\ \\ \to \: 100 + x = \frac{45 \times 100}{35} \\ \\ \to \: 100 + x = \frac{9 \times 100}{7} \\ \\ \to \: x = \frac{900}{7} - 100 \\ \\ \to \: x = \frac{900 - 700}{7} \\ \\ \to \: x = \frac{200}{7} \: = \red{\sf{28.5 }\: \%}$

Hence,

• There was increase of 28.5% in work hours.

Answer 2

Step-by-step explanation:

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