A dealer buys an article listed at ₹100 and get 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%?

The correct answer is Option 1: ₹91.08.

Step 1: Calculate the effective cost price after successive discounts
The list price of the article is ₹100.
First discount = 10% of ₹100 = ₹10.
Price after first discount = ₹100 - ₹10 = ₹90.

Second discount = 20% of ₹90.
$\text{Discount}=90\times \frac{20}{100}=\text{₹18}$

Purchase price after both successive discounts:
$\text{Purchase Price}=90-18=\text{₹72}$

Step 2: Calculate the total cost price including transportation
The dealer spends 10% of the cost price (purchase price) on transportation.
$\text{Transportation cost}=72\times \frac{10}{100}=\text{₹7.20}$

Total cost price (CP) for the dealer:
$\text{Total CP}=72+7.20=\text{₹79.20}$

Step 3: Calculate the selling price to earn a profit of 15%
To earn a profit of 15% on the total cost price:
$\text{Selling Price (SP)}=\text{Total CP}\times \left(1+\frac{15}{100}\right)$

$\text{SP}=79.20\times 1.15=\text{₹91.08}$

Thus, the dealer should sell the article at ₹91.08 to earn a profit of 15%.