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CAT 2017 Question Paper Quantitative Ability for online practice
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© examsnet.com
Question : 1
Total: 34
A milkman purchases 10 litres of milk at Rs. 7 per litre and forms a mixture by adding freely available water which constitutes 16.66% of the mixture. Later on he replaced the mixture by some freely available water and thus the ratio of milk is to water is 2 : 1. He then sold the new mixture at cost price of milk and replaced amount of mixture at twice the cost of milk then what is the profit percentage?
68%
34%
40%
None of these
Validate
Solution:
Given, quantity of milk is 10 I Since, water is 16.66% of the mixture. Therefore, quantity of water added is 21.
Now, after replacement.
10
−
5
x
∕
6
2
−
x
∕
6
+
x
=
2
−
1
⇒
60
−
5
x
12
−
x
+
6
x
=
2
⇒60 - 5x = 24 + 10x
=> x = 2.41
∴ SP= 12x7 + 2.4x14
= 84 + 33.6
=₹117.6 CP
=10x7 = ₹70
Hence, profit =
=
117.6
−
70
70
×
100
=
68
%
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