## Algebraic proof of Least value of sum of reciprocals for any number of positive variables

The result of the least value of sum of reciprocals, used in Algebra, represents an important principle of value sharing. Here is a rare algebraic proof.

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Submitted by Atanu Chaudhuri on Sun, 28/07/2019 - 04:56

The result of the least value of sum of reciprocals, used in Algebra, represents an important principle of value sharing. Here is a rare algebraic proof.

Submitted by Atanu Chaudhuri on Sun, 31/03/2019 - 14:39

21st set of profit loss and discount solutions for SSC CGL Tier 2 explains how to solve the 10 selected questions easily and quickly.

Submitted by Atanu Chaudhuri on Sun, 31/03/2019 - 14:24

Solve selected profit loss and discount questions in SSC CGL Tier 2 Set 21 within scheduled time of 12 mins and verify results from given answers.

Submitted by Atanu Chaudhuri on Fri, 29/03/2019 - 21:03

Profit and loss questions and Discount questions with solutions in SSC CGL Tier 2 solution set 20. Learn to solve 10 questions in 12 minutes.

Submitted by Atanu Chaudhuri on Fri, 29/03/2019 - 16:51

Solve 10 profit and loss questions for SSC CGL Tier 2 set 20 in 12 minutes. Verify correctness from answers. Learn to solve from paired solution set.

Submitted by Atanu Chaudhuri on Sun, 24/03/2019 - 22:08

Learn how to solve profit and loss questions from the quick solutions to 10 selected questions in SSC CGL Tier 2 Set 19. Basic to advanced techniques used.

Submitted by Atanu Chaudhuri on Sun, 24/03/2019 - 21:51

Solve the questions in Profit and Loss for SSC CGL Tier 2 Question Set 19 within scheduled time of 12 mins and verify results from answers.

Submitted by Atanu Chaudhuri on Thu, 07/02/2019 - 02:58

In profit and loss problems when price or profit changes by certain percentages, without calculating the actual changed values and just by using the change and its effect, solution can be achieved very fast. We would solve two problems on profit and loss to highlight the power of this technique...

Submitted by Atanu Chaudhuri on Tue, 05/02/2019 - 03:03

We have already treated an interesting type of profit and loss problem with equal sale prices and equal profit and loss figures in two transactions. This session we will be solving such a problem with equal sale prices but with unequal profit and loss percentages very fast and in two ways. We will use basic and rich profit and loss concepts, fraction concepts and mathematical reasoning to achieve the speed and elegance...

Submitted by Atanu Chaudhuri on Sun, 03/02/2019 - 00:15

The chosen problem in this session is awkward and if you attempt to solve it through conventional deductions, it would be tedious and time consuming. You may even lose your way in confusion. Instead, if you are able to identify useful patterns and apply mathematical reasoning, solution would take just a few tens of seconds...