Example 3. A dealer mixes tea costing * 6.92 per kg, with tea costing 7.77 per kg and sells themixture at * 8.80 per kg and earns a profit of 17 1/2% on his sale price. In what proportion doeshe mix them?
Answers
Answer: there are two methods to this answer, pls mark as brainliest
Step-by-step explanation:
Method 1
6.92x + 7.77y =
82.5
100
82.5
100
×8.80(x+y)
6.92x + 7.77y = 7.26x + 7.26y
0.34x = 0.51y
x/y = 0.51/0.34 = 51/34 = 3/2
x:y = 3:2
Method 2
1 kg mixture is sold at Rs. 8.8 and there is a profit of 17.5 % on the sale price.
i.e., Profit in selling 1 kg mixture =
8.8
×
17.5
100
8.8
×
17.5
100
= 1.54
Cost Price of 1 Kg mixture = 8.8 - 1.54 = Rs.7.26
Applying rule of alligation
Unit price
of tea 1
6.92 Unit price
of tea 2
7.77
Unit price of the mixture
7.26
7.77-7.26=0.51
7.26- 6.92=0.34
Required ratio = = 0.51 : 0.34 = 51 : 34 = 3 : 2
it is important to note the statement "profit of 17 .5 % on sale price".i.e., the trader gains profit of 17.5% on selling price and not on cost price. if question was mentioning "profit was 17.5%", then answer would have been different.