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How much water must be added to 60 litres of milk at 1.5 litres for Rs. 20 So as to have a mixture worth Rs.10 2/3 a litre?
15 ltrs
14 ltrs
12 ltrs
10 ltrs
C.P. of 1.5=3/2 litre of milk = Rs. 20
C.P. of 1 litre of milk = Rs. 20×2/3 = Rs. 40/3
C.P. of 1 litre of water =0
From question,
Mean price Rs.10 2/3 = Rs. 32/3
By the rule of alligation, we have:
C.P of 1 litre C.P of 1 litre
of water of milk
(0) (Rs.40/3)
\ / Mean Price
(Rs.32/3)
/ \
(40/3−32/3) (32/3−0)
=8/3 =32/3
Ratio of water and milk = 8/3:32/3
=8:32 = 1:4
Thus, Quantity of water to be added to 60 litres of milk: (Note it is extra water that is to be added and final solution is not of 60 litre but more than that).
(1/4×60)litres =15 litres
Hence, option 1 is the correct answer.
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