Question

Find the single discount equivalent to a discount series of 20%,15% and 10%

Answer 1

this picture may help you

Answer 2

$Given \: First \: discount (x) = 20\% , \\Second \: discount (y) = 15\% \:and \\Third \: discount (z) = 10\%$

$Successive \: discount \: of \: 20\% \\and \: 15\% (d) \\= \Big( x + y - \frac{xy}{100}\Big) \\= 20 + 15- \frac{20\times 15}{100} \\= 35- 3 \\= 32\%$

$Now , Final \: single \: discount \\= d + z - \frac{dz}{100} \\=32 + 10 - \frac{32 \times 10}{100} \\= 42 - 3.2\\= 38.8\%\%$

Therefore.,

$\red{ Final \: single \: discount} \green {= 38.8\%}$

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