How many kgs of Basmati rice costing Rs.42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?
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.
C.P of 1 kg of rice of 1st kind = Rs. 42
C.P of 1 kg of rice of 2nd kind = Rs.
Mean price = Rs. 40 ( 25% profit , so cp will be 32 rs per kg )
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)
/ \
32 - 24 : 42 - 32
(8) (10)
Let the amount of Basmati rice being mixed be x kgs
8 : 10 = x : 25
4/5 = x/25
x = 20 kgs.
Hence, option 4 is the correct answer.
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By: Amit Kumar