Question

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I want the answer right

Answer 1

Answer:the answer is  20.0kgs

Step-by-step explanation:

As the trader makes 25% profit by selling the mixture at Rs.40/kg, his cost per kg of the mixture = Rs.32/kg.  

Step 2:

C.P of  1 kg of rice of  1st kind = Rs. 42

C.P of  1 kg of rice of  2nd kind = Rs. 24

Mean price = Rs. 40

By the rule of Alligation, we have:

C.P. of 1kg of                    C.P. of 1kg of

rice of 1st                          rice of 2nd

kind (Rs. 42)                      kind (Rs. 24)

 

                   \                    /

                    Mean Price

                        (Rs. 32)

                  /                    \

 

      40 - 24          :            42 - 32  

         (8)                              (10)

Let the amount of Basmati rice being mixed be x kgs.

8:10(45)⇒x=x:25=(x25)=20 Kgs.

Alternatively:

Let the amount of Basmati rice being mixed be x kgs.

As the trader makes 25% profit by selling the mixture at Rs.40/kg, his cost per kg of the mixture = Rs.32/kg.  

i.e. (x×42)+(25×24)=32(x+25)

⇒ 42x+600=32x+800

⇒ 10x=200  

⇒ x=20kgs.