CAT 2022 Slot 1 QA Question 17: Amal buys $110$ kg of syrup and $120$ kg of juice, syrup being $20\%$ less costly than juice, per kg. He sells $10$ kg of syrup at $10\%$ profit and $20$ kg of juice at $20\%$ profit. Mixing the remai

Question

Amal buys $110$ kg of syrup and $120$ kg of juice, syrup being $20\%$ less costly than juice, per kg. He sells $10$ kg of syrup at $10\%$ profit and $20$ kg of juice at $20\%$ profit. Mixing the remai

Accepted Answer

Let the cost price of syrup be $S$ per kg. Since syrup is $20\%$ less costly than juice, the cost price of juice is $1.25S$ per kg.
Total cost price = $110S + 120(1.25S)$
$= 110S + 150S = 260S$
Revenue from the initial separate sales:
$10$ kg syrup at $10\%$ profit = $10S 	imes 1.1 = 11S$
$20$ kg