CAT 2022 Slot 1 QA Question 20: Ankita buys $4$ kg cashews, $14$ kg peanuts and $6$ kg almonds when the cost of $7$ kg cashews is the same as that of $30$ kg peanuts or $9$ kg almonds. She mixes all the three nuts and marks a price

Question

Ankita buys $4$ kg cashews, $14$ kg peanuts and $6$ kg almonds when the cost of $7$ kg cashews is the same as that of $30$ kg peanuts or $9$ kg almonds. She mixes all the three nuts and marks a price

Accepted Answer

Let the common cost of $7$ kg cashews, $30$ kg peanuts and $9$ kg almonds be $k$.
Cost of $1$ kg cashews = $\dfrac{k}{7}$
Cost of $1$ kg peanuts = $\dfrac{k}{30}$
Cost of $1$ kg almonds = $\dfrac{k}{9}$
Total cost = $4 	imes \dfrac{k}{7} + 14 	imes \dfrac{k}{30} + 6 	imes \dfrac{k}{9}$
$= \dfrac{