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CAT 2022 Slot 1 Paper

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Question : 51 of 66

Marks: +1, -0

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

1680
1176
2520
1440

Solution:

It is given,

7 C = 30 P = 9 A

and Ankita bought

4 C, 14 P

and

6 A

.

Let

7 C = 30 P = 9 A = 630 k

C = 90 k, P = 21 k

, and

A = 70 k

Cost price of

4 C, 14 P

and

6 A = 4 (90 k) + 14 (21 k) + 6 (70 k) = 1074 k

Marked up price

= 1074 k + 1752

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

S . P - C . P = \text{profit}

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

\frac{1074 k}{6} = 716

k = 4

Money spent on buying almonds

= 420 k = 420 \times 4 =

Rs 1680

The answer is option A.

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