Question : A wholesaler sells a watch to a retailer at a profit of 33%, and the retailer sells it to a customer at a loss of 20%. If the customer pays Rs. 2,181.2, what does it cost the wholesaler?
Option 1: Rs. 2,050
Option 2: Rs. 2,320
Option 3: Rs. 2,712
Option 4: Rs. 1,780
Correct Answer: Rs. 2,050
Solution :
Let the cost price (CP) for the whole seller be Rs. 100$x$.
When a profit of 33% is added, then selling price (SP) = $\frac{133}{100}$ × 100$x$ = 133$x$
So, the CP for the retailer is 133$x$.
SP of retailer at 20% loss = $\frac{80}{100}$ × 133$x$ = 106.4$x$
For the customer, 106.4$x$ = 2181.2
$\therefore x$ = $\frac{2181.2}{106.4}$ = 20.5
Therefore, the cost price of the whole seller = 100$x$ = (20.5 × 100) = Rs. 2,050
Hence, the correct answer is Rs. 2,050.
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