PYQ Vault

Alligation: ratio or quantity to mix for a target cost price

This type of question, asked 4 times: 14 Jul 2023 S2, 10 Sep 2024 S2, 26 Sep 2024 S3, 22 Sep 2025 S3. All 4 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jul 2023 S2

    60
    In what ratio must water be mixed with milk, costing₹32 per litre, in order to get a mixture costing₹28 per litre?

    Tap an option to check your answer.

  2. Question 2

    10 Sep 2024 S2

    67
    A merchant has 1000 kg of sugar, part of which he sells at a 10%10\% profit and the rest at a 40%40\% profit. He gains 20%20\% on the whole. The quantity sold at 40%40\% profit is:

    Tap an option to check your answer.

  3. Question 3

    26 Sep 2024 S3

    59
    How much rice of ₹4 per kg should be mixed to 15 kg of rice of ₹10 per kg, so as to make a mixture worth ₹6.50 per kg?

    Tap an option to check your answer.

  4. Question 4

    22 Sep 2025 S3

    66
    A merchant wants to mix two types of tea priced at Rs. 300300/kg and Rs. 240240/kg. In what ratio should they be mixed to sell the mixture at Rs. 270270/kg without profit or loss?

    Tap an option to check your answer.