Alligations is an important chapter for IBPS exams. This technique can be applied to many other chapter of Quantitative aptitude. Today I am explain applications of Alligation method to various Quantitative Aptitude topics.
Solution :-Ques 1.
Gold is 19 times as heavy as water and copper 9 times. In what ratio should these materials be mixed so that the mixture may be 15 times as heavy as water.
![alligations alligations](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjM6-0rAn9OD4sSUO3gyYtDAMeTScuFNEY2rIeaJ2hos0uAxl1cKfvkR6_BKSr1lHPHzvwgXN8jLMGoXWP6_LvVRLe13OIozZMm_Pa39K5d4s8EucaNPn0Yagsx9g1GAM3vu4iwa71mlR8/s640/l.png)
![alligation examples alligation examples](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiqEyS6Va0XxwHHgum9IfRUIPdWd1O32k2NJgEVikfFiN_s9FSE_yKQRysW_-G1JJnilY-WsIGx6KUpU19S5VSSpNQBe1qc4U5Qg15jQwug6PKNvrdFZW5P8FWLyt8Dz-2TdWiZhezoktw/s400/b.png)
Solution :-Ques 2.
How much chicory at Rs. 4 a kg should be added to 15 kg. of teat Rs 10 a kg. so that the mixture be worth Rs. 6.50 a kg?
![mixtures mixtures](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEih9afwqxiDclMwZbPyxKtAEF_T3K4sl7JOyw7sdGjIbRGxi-Kmq6vkiB5aReyJT6WTnwvPzDxRHFHaoa2NCXooMVYZBdptpZvNKpSZ7lvCSp_g57n9jN-vilEbM3upbTkDWZsfFFDvaPs/s1600/c.png)
Solution :-Ques 3.
A mixture of 40 litres of milk and water contains 10% water. How much water must be added to make water 20% in the new mixture?
![mixture examples mixture examples](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7GrhgYXZvcZQXWJAUVSnqBw5iww465zuowxhXebnKF0aqaxmdcIUeyK1ZjHn93ZpqfzIZxuRY8bONMIMIXmI-0Ayly6nNySgEoFtlmtYT9_UsIoeEBeDDVwYvfp_xIAQgMShd0u0D7iI/s640/d.png)
Solution :-Ques 4.
A sum of Rs. 6.40 is made up of 80 coins which are either 10-paise or five-paise coins. How many are of 5-p.?
Solution :-Ques 5.
In a zoo, there are rabbits and pigeon. If heads are counted, there are 200 and if legs are counted, there are 580. How many pigeons are there?
Solution :-Ques 6.
A man has 30,000 rupees to lend on loan. He lent some of his capital to Mohan at an interest rate of 20% per annum and the rest to Suresh at an interest rate of 12% per annum. At the end of one year he got 17% of his capital as interest. How much did he lend to Mohan?
Ques 7.
A vessel of 80 litre is filled with milk and water. 70% of milk and 30% of water is taken out of the vessel. It is found that the vessel is vacated by 53%. Find the initial quantity of milk and water.
![mixtures mixtures](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgKgCmCx_G1NBsmGgvRNNrXmmsiiigmjQMs_SPZQoDsm5mcAa6q1VsQyShie9UtrSeVxO3CEXf_Ejl4530RRBs_OqW2BaSs9Uqb4BD02GltC672KRa45oxlhZGyrroDV5zVjqip6g5QHgQ/s400/h.png)
Ques 8.
Mohan’s expenditure and savings are in the ratio os 4:1. His income increases by 20%. If his savings increase by 12%, by how much % should his expenditure increase?
![mixtures mixtures](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_G_8vw1cI7wnEEUTDEpLyt_ii4_0iSWY4v6u3RW5jFCR7HsaV4Nc8s_M8kkXH8gzQ4k-P5-vm9fIqM0jW2e-fqJxPr2EQf-_P9bBBEGQsmFS3cICSHdCnoMR4Zf2yN_STPqAfmOarRl8/s400/i.png)
Ques 9.
Mukesh earned Rs. 4000 per month. From the last month his income increased by 8%. Due to rise in prices, his expenditure also increased by 12% and his savings decreased by 4%. Find his increased expenditure and initial saving.
![mixtures mixtures](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiSu3Ji4KxQzvxnnPGdlicfOwKKXkwvgfeXMeB1Fq3NpuxI4pmZFn4z1XbO6OkGe4E59Z0Z64kTCTKgnd02aupHulgMsSpei4O9Bq4PqB9HWhIRqpM9ZX0R3ipi-FT70O6qOMfXDEFa4-I/s320/j.png)
Ques 10.
A man has 60 pens. He sells some of these at a profit of 12% and the rest at 8% loss. On the whole, he gets a profit of 11%. How many pens were sold at 12% profit and how many 8% loss?
![mixtures mixtures](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEidYooU_Thm5RdtOicn7meTfXhG89XqOEGTK2Efjwa84bdq3twihr3i7Hki144j7DGVjY-QXwOhj2H7xmdgMm64VVEEeJc8pLe1j9RkUoOqx_z0oxQEuMq_2hkc4DNJMyP5xsYkrqVon_s/s640/k.png)