cat 2022 Question 9

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 for the mixture in order to make a profit of ₹1752. She sells 4 kg of the mixture at this marked price and the remaining at a 20% discount on the marked price, thus making a total profit of ₹744. Then the amount, in rupees, that she had spent in buying almonds is

Accepted Answer

It is given,

$7C = 30P = 9A$ and Ankita bought $4C, 14P$ and $6A$.

Let $7C = 30P = 9A = 630k$

$C = 90k$, $P = 21k$, and $A = 70k$

Cost price of $4C, 14P$ and $6A$ = $4(90k)+14(21k)+6(70k) = 1074k$

Marked up price = $1074k + 1752$

S.P = $\frac{1}{6}(1074k + 1752)$ + $\left(\frac{4}{5}\right)\left(\frac{5}{6}\right)(1074k + 1752)$ = $\frac{5}{6}(1074k + 1752)$

S.P - C.P = profit

$1460 - \frac{1074k}{6} = 744$

$\frac{1074k}{6} = 716$

$k = 4$

Money spent on buying almonds = $420k = 420*4 = Rs 1680$

The answer is option C.

Question 9.

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Question 9.

Question Explanation

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