Question : An item is sold at two successive gains of 30% and 20%. If the final selling price is Rs. 31,200, of the item what is the cost price (in Rs.) of the item?
Option 1: 15000
Option 2: 20000
Option 3: 22250
Option 4: 24000
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Correct Answer: 20000
Solution :
Let $x$ be the cost price.
When profit = 30%, Selling price = $x$ + 30% of $x$ = 130% of $x$
When profit = 20%,
Final selling price = 130% of $x$ + 20% of 130% of $x$ = 130% of $x$ + 26% of $x$ = 156% of $x$
Final selling price = Rs. 31,200
156% of $x$ = 31,200
$\therefore x$ = $\frac{3120000}{156}$ = Rs. 20,000
Hence, the correct answer is 20,000.
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