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Mixtures & Alligations

The document presents a series of mathematical problems related to mixtures and alligations, including the mixing ratios of different qualities of rice, potatoes, and sugar to achieve specific costs and profit margins. It also discusses a scenario involving the repeated replacement of liquid in a vessel with water and the resulting quantity of liquid remaining. The document includes multiple-choice answers for each question.

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Thakur jai Singh
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8 views3 pages

Mixtures & Alligations

The document presents a series of mathematical problems related to mixtures and alligations, including the mixing ratios of different qualities of rice, potatoes, and sugar to achieve specific costs and profit margins. It also discusses a scenario involving the repeated replacement of liquid in a vessel with water and the resulting quantity of liquid remaining. The document includes multiple-choice answers for each question.

Uploaded by

Thakur jai Singh
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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MIXTURES & ALLIGATIONS :

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Q-1. In what ratio should a quality of rice costing ₹ 7.20 per
kg be mixed with a rice of another quality costing ₹ 9.40,
so that the cost of the mixture becomes ₹ 8.50 per kg?

(A) 1 : 3 (B) 9 : 13 (C) 3 : 7 (D) 11 : 15

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Q-2. How much quantity of potatoes (in kg) costing ₹10 per
kg be mixed with 120 kg of another type of potato costing
₹2.85 per kg, so that on selling the mixture at ₹4.80 per kg
a profit of 20% can be made?

(A) 115 (B) 11.5 (C) 60 (D) 23


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Q-3. How much quantity of sugar (in kg) costing ₹ 20 per


kg be mixed with 20 kg of sugar costing ₹ 15 per kg, so
that on selling the resulting mixture for ₹ 22.50 per kg a
profit of 25% can be made?

(A) 30 (B) 20 (C) 40 (D) 10


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The amount of liquid in a vessel is X units. If Y units of that
liquid is taken out and then is replaced with same amount
of water, and then Y units of the mixture is removed and
replaced by same amount of water, and this process is
repeated N times, then the amount of liquid remaining in
the vessel will be

= X(1–Y/X)N
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Q-4: A milkman takes out 11 kg of pure milk from a vessel
and replaces it with the same amount of water. He repeats
this process two more times. If initially there was 110 kg of
pure milk in the vessel, then now how much quantity of
milk (in kg) will be left in the vessel?
(A) 81 (B) 88 (C) 80.19 (D) None of these
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