1. **Problem statement:** The usual profit made by a jeweller on a watch is 35%. During a sale, 20% is taken off the market price. The watch was sold for 3672 during the sale. Find the cost price of the watch.
2. **Formula and explanation:**
- Let the cost price be $C$.
- Usual profit is 35%, so usual selling price $S = C + 0.35C = 1.35C$.
- During the sale, 20% is taken off the market price (which is the usual selling price), so sale price $= 0.8 \times S = 0.8 \times 1.35C = 1.08C$.
- Given sale price is 3672, so $1.08C = 3672$.
3. **Calculation:**
$$
1.08C = 3672
$$
Divide both sides by 1.08:
$$
\cancel{1.08}C = \frac{3672}{\cancel{1.08}}
$$
$$
C = \frac{3672}{1.08} = 3400
$$
4. **Answer:** The cost price of the watch is 3400.
Jeweller Profit Bd49Bb
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