Question

The price of a shirt was $38. It was reduced by 20% and then again by 10%. What would the price of be if it were reduced by 30% from the original

Answer 1

Original Price of the shirt is $38.

Double discount :

Given that it was reduced by 20%, means

$\\ Cost \; of \; Shirt\; after\; 1^{st}\; discount (20\%)\\ \\= \; (100\; - \; 20) \%\; of \; Original Price=\; 80\%\; of\; \ 38\\ \\ = \frac{80}{100} \times 38\; =\; \frac{3040}{100}\; =\; \ 30.40\\ \\ Cost \; of \; Shirt \; after\; 2^{nd}\; discount(10\%)\\ \\ (100 - 10)\%\; of\; 30.40=90\%\; of\; \ 30.40$

$=\frac{90}{100} \times 30.40 = \frac{2736}{100}= \ 27.36 \\ \\ After \; double \; \; discount,(20\%\; of\; Original\; Price, again\; 10\%\; reduced\; )\\\\ Double \; Discounted \; Price = \ 27.36\\ \\ But \; After\; single \; discount\; of\; 30\%\; of\; Original \; Price, \; we\; get\\ \\ (100-30)\%\; of \; \ 38=70\% \times \ 38=\; \frac{70}{100} \times 38 =\frac{2660}{100}=\ 26.6$

Answer 2

11.4 should be the right answer