SOLUTION: A dealer buys oranges of two quantities one at Rs. 12 a dozen and the other at Rs.8 a dozen. These were mixed up and he sells them at 15 per Rs.12 and thereby makes 5%(5percent) on

Question 856535: A dealer buys oranges of two quantities one at Rs. 12 a dozen and the other at Rs.8 a dozen. These were mixed up and he sells them at 15 per Rs.12 and thereby makes 5%(5percent) on his total outlay. The ratio of the number of oranges of the two kinds is ? (A) 2:5 (B)3:5 (C) 4:5 (D)1:5. WHICH IS THE ANSWER FOR THIS PROBLEM.DOES ALLIGATION RULE APPLY ?
Answer by dkppathak(439) (Show Source): You can put this solution on YOUR website!
A dealer buys oranges of two quantities one at Rs. 12 a dozen and the other at Rs.8 a dozen. These were mixed up and he sells them at 15 per Rs.12 and thereby makes 5%(5percent) on his total outlay. The ratio of the number of oranges of the two kinds is ? (A) 2:5 (B)3:5 (C) 4:5 (D)1:5. WHICH IS THE ANSWER FOR THIS PROBLEM.DOES ALLIGATION RULE APPLY ?
lowest price per dozen = Rs 8
highest price per dozen = Rs 12
sp for 15 for Rs 12 = Rs 9.6 per dozen
mixture price will be 9.6 /1.05= per Dozen RS 09.1428
alligation Ratio=highest price-mixture price / mixture price- lowest price

Ratio=12-9.14/9.14-8=2.86/1.14=286/114=143/57=2/5 approxymately
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