A man's salary is 201c50,000 per annum. If he resigns in the middle of the year, what his salary?

Mshahara $S$ unabadilika moja kwa moja na idadi ya siku $D$ anazofanya kazi, na kinyume na mzizi wa pili wa idadi ya saa $H$ anazofanya kazi kwa siku.
Hii inaweza kuandikwa kama:

$$S = k \frac{D}{\sqrt{H}}$$

Ambapo $k$ ni kipimo cha uwiano.

Tunapewa $S = 1200$ anapofanya kazi siku $D = 18$ na saa $H = 6$ kwa siku.
Badilisha thamani hizi kwenye mlinganyo:

$$1200 = k \frac{18}{\sqrt{6}}$$

Ili kupata $k$, tunapanga upya mlinganyo:

$$k = \frac{1200 \sqrt{6}}{18}$$ $$k = \frac{200 \sqrt{6}}{3}$$

Badilisha thamani ya $k$ kwenye mlinganyo mkuu:

$$S = \frac{200 \sqrt{6}}{3} \frac{D}{\sqrt{H}}$$

Sasa tunataka kujua mshahara wake anapofanya kazi siku $D = 20$ na saa $H = 4$ kwa siku.
Badilisha thamani hizi kwenye mlinganyo kamili:

$$S = \frac{200 \sqrt{6}}{3} \frac{20}{\sqrt{4}}$$ $$S = \frac{200 \sqrt{6}}{3} \frac{20}{2}$$ $$S = \frac{200 \sqrt{6}}{3} \times 10$$ $$S = \frac{2000 \sqrt{6}}{3}$$

Ili kupata thamani ya nambari, tunakokotoa:

$$S \approx \frac{2000 \times 2.4494897}{3}$$ $$S \approx \frac{4898.9794}{3}$$ $$S \approx 1632.99$$

Mshahara wake mpya ni:

$$*1632.99*$$