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

11.4 should be the right answer

Answer 2

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\\ \\ = (80)/(100) * 38\; =\; (3040)/(100)\; =\; \$30.40\\ \\ Cost \; of \; Shirt \; after\; 2^(nd)\; discount(10\%)\\ \\ (100 - 10)\%\; of\; $30.40=90\%\; of\; \$30.40\\`

`=(90)/(100) * 30.40 = (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\% * \$38=\; (70)/(100) * 38 =(2660)/(100)=\$26.6`