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A customer purchased two units of the same item, one from a shopkeeper and one from a whole seller. The whole seller sold the items to the shopkeeper and customer at 15% profit while the shopkeeper sold the item to the customer at 20% profit. If the difference between the price of both units for the customer is Rs. 96.6, then what is the total cost of both the units for the customer?

A customer purchased two units of the same item, one from a shopkeeper and one from a whole seller. The whole seller sold the items to the shopkeeper and customer at 15% profit while the shopkeeper sold the item to the customer at 20% profit. If the difference between the price of both units for the customer is Rs. 96.6, then what is the total cost of both the units for the customer? Correct Answer Rs. 1062.6

Let the price of the item for the whole seller be 100x.

Price of item for customer when purchased from whole seller = 115% of 100x = 115x

Price of item for customer when purchased from shopkeeper = 120% of 115x = 138x

According to the question:

138x – 115x = 96.6

x = 4.2

Total cost of both the units for customer = 115x + 138x = Rs. 1062.6

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