Examveda
Examveda

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%.

A. 2 : 5

B. 3 : 5

C. 5 : 3

D. 5 : 2

Answer: Option A

Solution(By Examveda Team)

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,
Alligation mcq Solution1
$$\frac{{\text{N}}}{{\text{M}}} = \frac{{12}}{{30}}$$
N : M = 2 : 5

Join The Discussion

Comments ( 11 )

  1. Sandra Alice
    Sandra Alice :
    1 year ago

    The formula is d-m/m-c . So the ans should be 5:2

  2. Aakanksha Rana
    Aakanksha Rana :
    2 years ago

    162

  3. Md Hasan
    Md Hasan :
    2 years ago

    192x+150y=194.4(x+y)×100/120
    1152x+900=972x+972y
    180x=72y
    x:y=2:5

  4. Md Helal
    Md Helal :
    4 years ago

    CP of mixture = 194.40*(5/6) = 162
    Applying rule of Alligation :
    192 ································ 150
    ················· 162 ····················
    12 : 30 or 2 : 5 (Ans.)

  5. Lokesh Golu
    Lokesh Golu :
    6 years ago

    Price of tea A=192 per kg
    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.

  6. Manpreet Kaur
    Manpreet Kaur :
    6 years ago

    From this trick we learn that if we are taking c.p. then c.p. is used in whole quest.

  7. Tousif Ahamad
    Tousif Ahamad :
    7 years ago

    Can't understand your solution. Please explain it more precisely.

  8. Rajesh Kumar
    Rajesh Kumar :
    7 years ago

    sir solution anupaat kaise devide kiya
    Plz step by step solution bateyn thanks

  9. Mahendra Singh
    Mahendra Singh :
    7 years ago

    kaise hua hai ye

  10. Kumar Chandan
    Kumar Chandan :
    7 years ago

    Answer has been updated now.

  11. Happy Sharma
    Happy Sharma :
    7 years ago

    plz give ans with step by step

Related Questions on Alligation