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The ratio, in which tea costing Rs. 192 per kg is to be mixed with tea costing Rs. 150 per kg so that the mixed tea when sold for Rs. 194.40 per kg, gives a profit of 20%.
Answer & Solution
Correct Answer:
Option
A
CP of first tea = Rs. 192 per kg.
CP of Second tea = Rs. 150 per kg.
Mixture is to be sold in Rs. 194.40 per kg, which has included 20% profit. So,
SP of Mixture = Rs. 194.40 per kg.
Let the CP of Mixture be Rs. X per kg. Therefore,
X + 20% of X = SP
$$\frac{{6{\text{X}}}}{5}$$ = 194.40
6X = 194.40 *5
X = Rs. 162 per kg.
Let N kg of first tea and M kg of second tea to be added.
Now, Using Alligation, We get,
$$\frac{{\text{N}}}{{\text{M}}} = \frac{{12}}{{30}}$$ N : M = 2 : 5
$$\frac{{\text{N}}}{{\text{M}}} = \frac{{12}}{{30}}$$ N : M = 2 : 5
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LoginHence, the ans is 5:2
1152x+900=972x+972y
180x=72y
x:y=2:5
Applying rule of Alligation :
192 ································ 150
················· 162 ····················
12 : 30 or 2 : 5 (Ans.)
Price of tea B=150 per kg
If mixture is sold at price 194.40 per kg then you will get 20% profit.
So calculate cost price of mixture.
The equation will be like-
Let the price of mixture= X
Means, you will get 20% profit of X.
Then:
X + (20/100 *X)=194.40
After solving this equation
The Cost price of mixture will be 162 per kg (approx).
Now have a look on the explaination given above to solve this question.
Plz step by step solution bateyn thanks