CAT 2021 Slot 2 QA Question 1: A person buys tea of three different qualities at ₹ 800, ₹ 500, and ₹ 300 per kg, respectively, and the amounts bought are in the proportion 2 : 3 : 5. She mixes all the tea and sells one-sixth of the

Question

A person buys tea of three different qualities at ₹ 800, ₹ 500, and ₹ 300 per kg, respectively, and the amounts bought are in the proportion 2 : 3 : 5. She mixes all the tea and sells one-sixth of the

Accepted Answer

Take the quantities of the three teas as 12 kg, 18 kg and 30 kg. Then the total quantity is 60 kg, so one-sixth of it is 10 kg.

$	ext{CP} = 12 	imes 800 + 18 	imes 500 + 30 	imes 300 = 27600$
$	ext{Required total SP} = 1.5 	imes 27600 = 41400$
$	ext{SP of 10 kg} = 10 	imes 700 = 7000$

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