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Let us take a question on mixtures. We will try to solve it using five different methods A 80 liter solution contains 20% alcohol by volume. A part of the solution is removed and replaced with pure alcohol to bring the alcohol concentration to 25%. What is the volume of the solution that was removed? Method 1 - Using basic percentage computations and setting up an equation Volume of alcohol in the 80 liters solution = 20% of 80 = 20 × 80 ÷ 100 = 16 liters Let volume of solution removed = v liters This will also have 20% alcohol ⇒ Volume of alcohol removed = 20 × v ÷ 100 = 0.2v liters Volume of alcohol added = v liters (Note: replace imples adding a quantity equal to what was removed) Thus, total alcohol volume = (16 - 0.2v + v) = (16 + 0.8v) liters Total solution volume = 80 liters Thus, required percent = [(16 + 0.8v) ÷ 80] × 100 Thus, we have: [(16 + 0.8v) ÷ 80] × 100 = 25 ⇒ 16 + 0.8v = 20 ⇒ v = 5 liters - Answer Method 2 - Using the fact that the concentration of alcohol remains u...

Post-College Readiness According to the 𝗘𝗰𝗼𝗻𝗼𝗺𝗶𝗰 𝗦𝘂𝗿𝘃𝗲𝘆 2023-24, about 51.25% of the country’s youth is deemed employable, according to estimates. It is a shocking statistic and something needs to be done to improve this. The effort has to come from the students by working towards improving their profile and aligning it with the industry requirements and also from the institutes by providing the students with a proper launch-pad. In this video I have talked about various ways students can engage themselves in order to improve their profile: 1. 𝘎𝘦𝘵 𝘳𝘦𝘭𝘦𝘷𝘢𝘯𝘵 𝙘𝙤𝙧𝙚 𝙨𝙠𝙞𝙡𝙡𝙨 (𝘣𝘦𝘺𝘰𝘯𝘥 𝘵𝘩𝘦𝘪𝘳 𝘤𝘰𝘶𝘳𝘴𝘦 𝘤𝘶𝘳𝘳𝘪𝘤𝘶𝘭𝘶𝘮) 2. 𝘌𝘯𝘨𝘢𝘨𝘦 𝘪𝘯 𝙝𝙖𝙘𝙠𝙖𝙩𝙝𝙤𝙣𝙨 𝘢𝘯𝘥 𝙘𝙤𝙙𝙞𝙣𝙜 𝙥𝙡𝙖𝙩𝙛𝙤𝙧𝙢𝙨 𝘢𝘯𝘥 - 𝘓𝘦𝘦𝘵𝘊𝘰𝘥𝘦, 𝘏𝘢𝘤𝘬𝘦𝘳𝘙𝘢𝘯𝘬, 𝘊𝘰𝘥𝘦𝘸𝘢𝘳𝘴 𝘦𝘵𝘤. 3. 𝘒𝘯𝘰𝘸 𝘩𝘰𝘸 𝘵𝘰 𝘸𝘳𝘪𝘵𝘦 𝘢 𝘱𝘳𝘰𝘱𝘦𝘳 𝘾𝙑 𝘵𝘩𝘢𝘵 𝘪𝘴 𝘼𝙏𝙎 (𝘈𝘱𝘱𝘭𝘪𝘤𝘢𝘵𝘪𝘰𝘯 𝘛𝘳𝘢𝘤𝘬𝘪𝘯𝘨 𝘚𝘺𝘴𝘵𝘦𝘮) 𝘧𝘳𝘪𝘦𝘯𝘥𝘭𝘺 4. 𝘗𝘳𝘦𝘱𝘢𝘳𝘦 ...

How to solve Removal and replacement questions We often get questions involving  removal and replacement of mixtures where a part of a mixture is removed and replaced by some other solution. Say, a vessel contains different constituents in some given ratio. A fraction of the solution is removed and some quantity of some constituent is added to the solution. This process is repeated multiple times and the final ratio of constituents in the mixture has to be determined. Though this looks very complicated, we can solve it simply, in fact, in a single line! We just need to understand the fact that if a fraction,  f  of the solution is removed, the same fraction of each constituent also gets removed, and hence, the fraction  (1-f)  of each constituent is left, and as a result, after removal, the ratio of the constituents remains unchanged. This is very easy to understand. Say, you have a sugar solution in a glass and you drink a part of it. The remaining part would t...

Percentage & Percentage change Percent (read as per cent) means ‘every hundred’, or, essentially, ‘out of 100’. If we are given a fraction, we can simply convert it to a percentage by multiplying 100. Say, we have ½, which, when multiplied with 100 becomes ½ x 100 = 50%. What do we mean by a percentage change? Say, a person has 20 chocolates. If his number of chocolates is increased by 10%, what does it mean? First of all, let us see what is doesn’t mean: after the increase, the number of chocolates with him is  NOT  20 + 10 = 30, nor is it 20 +  10 / 100  = 20.1 When we talk of a percent increase, we must understand on what  BASE VALUE  is the percentage change working on. In this case, obviously, the 10% increase is 10% of the number of chocolates he has, i.e. 20. Thus, the number of chocolates with him would become: 20 + 10% of 20 = 20 + 20 x  10 / 100  = 22 Observe that:  20 + 20 x  10 / 100  = 20 x (1 +  10 / 100 ) = 2...

How to write your Resume for B-School Cambridge Dictionary says – a resume is a  short  written description of your education, qualifications, previous jobs and sometimes also your personal interests. The resume should be able to quickly familiarize the reader with your career’s major highlights and your unique skills and achievements. Let us look at a few important points on how a resume should be.   1. Brevity is the key Do not make the resume a collection of all that you have achieved throughout your life. Remember that a resume should give a clear idea about you as an individual. Too much information crammed in a short document doesn’t achieve any purpose. People would have to search for the important points themselves and as a result, may miss out on the more important points, or worse still, simply skip it 2. Keep it organised Your name should be at the top, along with your email and contact number. All experiences, achievements, educational details should be l...