Please submit your concern

Explanation:

Let the price of a kg of peanuts, cashews and almonds is Rs. p, c and a.
Given, 7c = 30p = 9a
⇒ c : p : a = 90 : 21 : 70

Ankita mixes 4 kg cashews, 14 kg peanuts and 6 kg almonds, i.e., total 24 kgs.
Total cost price of the mixture = 4 × 90x + 14 × 21x + 6 × 70x = 1074x.
Cost price/kg = 44.75x/kg

She plans to sells this 24 kg mixture for a Profit of Rs. 1752 i.e, at a profit of 1752/24 = Rs. 73/kg.

She sells 4 kg of this mixture at the original selling price and hence earns a profit of 4 × 73 = Rs. 292.

Total profit she actually earns is Rs. 744.

⇒ Profit earned on remaining 20 kgs = 744 – 292 = Rs. 452.
⇒ Profit originally planned on remaining 20 kgs = 20 × 73 = Rs. 1460.

Cost of this 20 kg = 20 × 44.75x = 895x

⇒ (895x + 1460) × 0.8 = 895x + 452
⇒ 1460 × 0.8 – 452 = 895x × 0.2
⇒ 716 = 179x
⇒ x = 4

∴ Price of 6 kg of almonds = 6 × 70 × 4 = 1680

Hence, option (b).

Feedback

Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.


© 2024 | All Rights Reserved | Apti4All