The cost price of three varieties of apples namely A, B and C is Rs. 20/kg, Rs. 40/kg and Rs. 50/kg respectively. Find the selling price of one kg of apple in which these three varieties of apples are mixed in the ratio of 2 : 3 : 5 such that there is a net profit of 20% ?
(a) Rs. 48
(b) Rs. 48.6
(c) Rs. 49.2
(d) Rs. 49.8
(e) Rs. 54.4
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Answer:
The selling price of the mixed apples should be option C) Rs 49.2
Step-by-step explanation:
since three varieties of apples are mixed in the ratio of 2 : 3 : 5
=> In one kg of the mixed apple, weight of A, B and C are 200 gms, 300 gms and 500 gms
cost of apple A = 20/kg
=> cost of 200 gms of apple A = 20 x 200/1000 = 4
cost of apple B = 40/kg
=> cost of 300 gms of apple B = 40 x 300/1000 = 12
cost of apple C = 50/kg
=> cost of 500 gms of apple C = 50 x 500/1000 = 25
hence cost of 1 kg of mixed apple = 4 + 12 + 25 = Rs 41
20% profit of 41 = 20 x 41/100 = 8.2
hence selling price = cost price + profit
= 41 + 8.2
= 49.2
Hence the selling price of the mixed apples should be option C) Rs 49.2
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