A dealer buys an article listed at Rs. 100 and gets successive discounts of 10% and 20%. He spends 10% of the cost price on transportation. At what price should he sell the article to earn a profit of 15%?

Single equivalent discount

$=\left(10+20-\frac{10 \times 20}{100}\right) \%$

$=(30-2) \%=28 \%$

∴ C.P. of article = 100 – 28 = Rs. 72

Actual cost price of article $=\frac{72 \times 110}{100}$

$=$ Rs. $79.2$

$\therefore \quad$ For a profit of $15 \%$, Required S.P. $=\frac{79.2 \times 115}{100}$

$\quad=$ Rs. $91.08$