 Hello and welcome to the session. In this session we discuss the following question which says, if 6 men or 5 women can earn Rs 900 per day, how much would 10 men and 10 women earn per day? Before moving on to the solution, let's see when are two quantities x and y in direct proportion? x and y are said to be in direct proportion if they increase or decrease together in such a manner that the ratio of the corresponding values remains constant. That is if x upon y is equal to k, where k is a positive number, then we say x and y are in direct proportion. And if we have that y and y2 are the values of y corresponding to the values x1, x2 of x respectively, then we have x1 upon y1 is equal to x2 upon y2. This is the key idea to be used for this question. Now let's proceed with the solution. Now we need to find how much would 10 men and 10 women earn per day? So we take let 10 men earn Rs x per day and let 10 women earn Rs y per day. Now consider this table in which we have number of men and their earnings per day in rupees. Now in the question we have that 6 men earn Rs 900 per day. So we write here 6 that is when number of men are 6, their earnings per day is Rs 900 and we need to find the earnings per day of 10 men. So when number of men are 10, we have their earnings per day would be x as we have assumed it to be x. Now more the number of men, more would be their earnings per day. So we have that the number of men, their earnings directly proportional to each other. So this would mean 6 upon 900 is equal to 10 upon x. So from here we get x is equal to 900 into 10 upon 6. Now 6, 150 times is 900 and so this is equal to 1500. Thus we get earnings of 10 men is equal to Rs 1500. Now consider this table with number of women and earnings per day. Now in the question we have that 5 women earn Rs 900 per day. So we write here in the given table for women, then we have 5 women then their earnings per day is Rs 900 and when we have 10 women we have assumed their earnings to be y. Now in the same way as the number of men and their earnings per day were in direct proportion, here the number of women and earnings per day are also in direct proportion. So we have 5 upon 900 is equal to 10 upon y and this would give us y is equal to 10 into 900 upon 5. 5, 2 times is 10 and this is equal to 1800. Thus we get earnings per day of 10 women is equal to Rs 1800. Now hence we have and 10 women Rs 1500 that is earnings per day of 10 men plus earnings per day of 10 women that is 1800 and this is equal to Rs 3300. So 10 men and 10 women earn Rs 3300 per day. Thus our final answer is Rs 3300. So this completes the session. Hope you have understood the solution for this question.