A product is sold for Rs. $2051.73$ after two successive discounts of $10%$ and $15%$ respectively. If the product is marked at a price $20%$ above its cost price, find the cost price of the product.

A product is sold for Rs. $2051.73$ after two successive discounts of $10%$ and $15%$ respectively. If the product is marked at a price $20%$ above its cost price, find the cost price of the product. 

Let the cost price be Rs. $x$

Marked price $= (100 + 20)%$ of $x = 1.2x$

Selling price $= (100 – 15)%$ of $(100 – 10)%$ of $1.2x = 0.85 × 0.9 × 1.2x$

$= 0.918x$

$0.918x = 2051.73$

$x = 2235$

Cost price of product is Rs. $2235$

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