A wholesaler sells a watch to a retailer at a profit of 25% and the retailer sells it to a customer at a loss of 12%. If the customer pays Rs 1045, what had it cost the wholesaler?a.1149b.751c.950d.1244
Question
A wholesaler sells a watch to a retailer at a profit of 25% and the retailer sells it to a customer at a loss of 12%. If the customer pays Rs 1045, what had it cost the wholesaler?a.1149b.751c.950d.1244
Solution
Let's solve this step by step:
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The customer bought the watch for Rs 1045, which is 88% of the price the retailer bought it for (because the retailer sold it at a 12% loss). So, we can set up the equation 1045 = 0.88 * Retailer's price. Solving for the retailer's price, we get Retailer's price = 1045 / 0.88 = Rs 1187.5.
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The retailer bought the watch from the wholesaler at a price which is 125% of the cost price for the wholesaler (because the wholesaler sold it at a 25% profit). So, we can set up the equation 1187.5 = 1.25 * Wholesaler's cost. Solving for the wholesaler's cost, we get Wholesaler's cost = 1187.5 / 1.25 = Rs 950.
So, the cost for the wholesaler was Rs 950, which corresponds to option c.
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