A man earns 150000 per annum, he has a tax free allowance of 40000 if the tax rate is 25 kobo in Nadia calculate his tax and his take home pay,the amounts are in naira

Since 1 Naira (₦) = 100 kobo, a tax rate of 25 kobo in Naira means ₦0.25 tax for every ₦1 of taxable income. This is equivalent to a 25% tax rate.

$$\text{Tax rate} = \frac{25 \text{ kobo}}{100 \text{ kobo}} = 0.25 \text{ or } 25\%$$

Taxable income is the portion of the annual income that is subject to tax after the allowance.

$$\text{Taxable income} = \text{Annual income} - \text{Tax-free allowance}$$ $$\text{Taxable income} = \text{₦}150,000 - \text{₦}40,000$$ $$\text{Taxable income} = \text{₦}110,000$$

Tax amount is the taxable income multiplied by the tax rate.

$$\text{Tax amount} = \text{Taxable income} \times \text{Tax rate}$$ $$\text{Tax amount} = \text{₦}110,000 \times 0.25$$ $$\text{Tax amount} = \text{₦}27,500$$

The tax is $\boxed{\text{₦}27,500}$.

Take-home pay is the annual income minus the calculated tax.

$$\text{Take-home pay} = \text{Annual income} - \text{Tax amount}$$ $$\text{Take-home pay} = \text{₦}150,000 - \text{₦}27,500$$ $$\text{Take-home pay} = \text{₦}122,500$$

The take-home pay is $\boxed{\text{₦}122,500}$.