Mixtures and Alligation - Quant/Math -
Warning: include(/source/catyear.txt) [function.include]: failed to open stream: No such file or directory in /home/ascent/public_html/india-mba/iim/cat/questionbank/Archives/October2002/arith1110.php on line 29

Warning: include() [function.include]: Failed opening '/source/catyear.txt' for inclusion (include_path='.:/usr/lib/php:/usr/local/lib/php') in /home/ascent/public_html/india-mba/iim/cat/questionbank/Archives/October2002/arith1110.php on line 29

Question 4 the day: October 11, 2002
The question for the day is from the topic of Mixtures and Alligation.

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?

(1)

20 kgs

(2)

12.5 kgs

(3)

16 kgs

(4)

200 kgs

Solution:

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 /kg of the mixture = Rs.32/kg.

i.e. (x * 42) + (25 * 24) = 32 (x + 25)
=> 42x + 600 = 32x + 800
=> 10x = 200 or x = 20 kgs.