Maria working as a salesperson sold out goods whose marked price are Ksh. 340,000 at a 3% discount. Calculate…

Question

Maria working as a salesperson sold out goods whose marked price are Ksh. 340,000 at a 3% discount. Calculate the percentage at which she earned a commission of Ksh. 16,490.

ScanSolve AI Tutor · Accepted Answer

Huu hapa ni ufumbuzi wa swali la 11:

Tunapewa usemi $\frac{\sin \theta - \cos \theta}{\sin \theta + 2\cos \theta}$ na kwamba $\tan \theta = \frac{8}{15}$ .

Gawanya kila neno katika namba (numerator) na denomineta (denominator) kwa $\cos \theta$ .
Hii itaturuhusu kutumia thamani ya $\tan \theta$ .
$\frac{\frac{\sin \theta}{\cos \theta} - \frac{\cos \theta}{\cos \theta}}{\frac{\sin \theta}{\cos \theta} + \frac{2\cos \theta}{\cos \theta}}$
Tunajua kuwa $\frac{\sin \theta}{\cos \theta} = \tan \theta$ na $\frac{\cos \theta}{\cos \theta} = 1$ .
Hivyo usemi unakuwa:
$\frac{\tan \theta - 1}{\tan \theta + 2}$
Badilisha thamani ya $\tan \theta = \frac{8}{15}$ kwenye usemi.
$\frac{\frac{8}{15} - 1}{\frac{8}{15} + 2}$
Rahisisha namba na denomineta.
Kwa namba: $\frac{8}{15} - 1 = \frac{8}{15} - \frac{15}{15} = \frac{8 - 15}{15} = \frac{-7}{15}$
Kwa denomineta: $\frac{8}{15} + 2 = \frac{8}{15} + \frac{30}{15} = \frac{8 + 30}{15} = \frac{38}{15}$
Gawanya namba kwa denomineta.
$\frac{\frac{-7}{15}}{\frac{38}{15}} = \frac{-7}{15} \times \frac{15}{38}$
Futa 15 kutoka namba na denomineta:
$\frac{-7}{38}$
Jibu la mwisho ni:
$-\frac{7}{38}$

Maria working as a salesperson sold out goods whose marked price are Ksh. 340,000 at a 3% discount. Calculate the percentage at which she earned a commission of Ksh. 16,490.

Answer

Step-by-step solution

Gawanya kila neno katika namba (numerator) na denomineta (denominator) kwa $\cos \theta$ .

Badilisha thamani ya $\tan \theta = \frac{8}{15}$ kwenye usemi.

Rahisisha namba na denomineta.

Gawanya namba kwa denomineta.

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More Mathematics Questions

Maria working as a salesperson sold out goods whose marked price are Ksh. 340,000 at a 3% discount. Calculate the percentage at which she earned a commission of Ksh. 16,490.

Answer

Step-by-step solution

Gawanya kila neno katika namba (numerator) na denomineta (denominator) kwa cos⁡θ\cos \thetacosθ.

Badilisha thamani ya tan⁡θ=815\tan \theta = \frac{8}{15}tanθ=158​ kwenye usemi.

Rahisisha namba na denomineta.

Gawanya namba kwa denomineta.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Gawanya kila neno katika namba (numerator) na denomineta (denominator) kwa $\cos \theta$ .

Badilisha thamani ya $\tan \theta = \frac{8}{15}$ kwenye usemi.