how many kg of sugar worth ₹3.60 per kg should be mixed with 8 kg of sugar worth ₹4.20 per kg ,such that by selling the mixture at ₹4.40 per kg ,there may be a gain of 10%
Answers
If 'x'kg of sugar worth RS 3.60/KG
is mixed with 8Kg of suger worth Rs4.20/Kg,then
(X*3.6+8*4.2)/(x+8)
=4.4*(100/110)
Answer is 4KG
Concept:
Proportions can be defined as an equation in which two ratios are said to be equal to each other.
Given:
A sugar worth ₹3.60 per kg is mixed with 8 kg of sugar worth ₹4.20 per kg and sold the mixture at ₹4.40 per kg with a gain of 10%.
Find:
The quantity of sugar worth ₹3.60 per kg should be mixed with 8 kg of sugar worth ₹4.20 per kg.
Solution:
The selling price of mixed sugar per kg = Rs 4.40 with a 10% Gain.
The cost price of sugar = 4.40 × 100/110 = Rs 4 per kg.
Applying the law of mixture 1st: 2nd, the ratio of the decrease and increase in the cost,
(4.20 - 4) : (4.00 - 3.60) = 20 : 40 = 1 : 2
The ratio of the decrease and increase in the cost is equal to the ratio of the kilograms of sugar.
Let, the 1st type quantity be x. Using the proportions,
x : 8 :: 1 : 2
2x = 8
x = 4
Hence, the quantity of 1st type of sugar is 4 kg.
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