 Hello and welcome to this session. In this session we will discuss the following question and the question says, Jane had 500 shares of face value $100 in a company paying X% dividend. Later she sold one-fifth shares when the price rose to $180 and the remaining shares when the price again rose by 30%. Then she invested the total proceeds in 15% $100 of a company at $180 and increased her income by $6,800. Finds the value of X. Let's start the solution now. We are given that Jane had 500 shares of face value $100 and the rate of dividend is X%. So annual income from 500 shares of $100 each paying X% dividend is equal to number of shares into face value into dividend since the annual income from one share is face value of one share into dividend. Therefore annual income from 500 shares is number of shares multiplied by annual income from one share that is face value into dividend. This is equal to number of shares is 500 into face value which is 100 into dividend which is X% that is X upon 100 dollars. The zeros get cancelled. So this is equal to 500 X dollars. It is given that later she sold one-fifth shares when the price rose to $180. So the selling price of one-fifth shares that is one-fifth of 500 which is equal to 100 at $180 per share is equal to the number of shares that is 100 into $180. This is equal to $18,000. It is also given that she sold the remaining shares when price again rose by 30%. So new increased price per share is equal to 130 upon 100 into price of one share which is $180. This is equal to $234. Now the total number of shares is 500 and out of those one-fifth shares that is 100 were sold at $180 per share. So the remaining shares are 400 in number and selling price of remaining 400 shares when the price rose by 30% is equal to 400 into new increased price per share which is $234. This is equal to $93,600. So the total income from sale of shares is equal to $18,000 plus $93,600. This is equal to $111,600. It is given that then she invested the total proceeds in 15% $100 of a company at $180. So this total amount is invested in $180 shares. Therefore number of shares purchased $180 per share is equal to 111600 which is the total income upon price of one share which is $180. Zero gets cancelled and $18,620 times is $11,160. So this is equal to $620. Now the annual income from dividend these shares is equal to number of shares into face value into rate of dividend. So this is equal to number of shares is $620 into face value of one share which is given to be $100 into rate of dividend which is 15% so $15,500. These zeros get cancelled. So this is equal to $9,300. Now we are given that she increased her income by $6,800. Now the difference of income is $9,300 minus $500x. So difference in income is equal to $9,300 minus $500x. But increase in income is given to be $1,800. Therefore $9,300 minus $500x is equal to $6,800. This implies $500x is equal to $9,300 minus $6,800. This implies $500x is equal to $2,500. This implies $x is equal to $2,500 upon $500. Zeros get cancelled and $5,5 times is $25. So this is equal to $5. Therefore $x is equal to 5%. So dividend is equal to 5%. This is the final answer. With this we end our session. Hope you enjoyed the session.