Mr. Gupta has a choice to invest in ten-rupee shares of two firms at ₹ 13 or at ₹ 16. If the first firm pays 5% dividend and the second firm pays 6% dividend per annum, find :

(i) which firm is paying better.

(ii) if Mr. Gupta invests equally in both the firms and difference between the returns from them is ₹ 30, find how much, in all, does he invest?

A man invested ₹ 45,000 in 15% ₹ 100 shares quoted at ₹ 125. When the M.V. of these shares rose to ₹ 140, he sold some shares, just enough to raise ₹ 8,400. Calculate :

(i) the number of shares he still holds;

(ii) the dividend due to him on these remaining shares.

Divide ₹50,760 into two parts such that if one part is invested in 8% ₹ 100 shares at 8% discount and the other in 9% ₹ 100 shares at 8% premium, the annual incomes from both the investments are equal.

Vivek invests ₹ 4,500 in 8%, ₹ 10 shares at ₹ 15. He sells the shares when the price rises to ₹ 30, and invests the proceeds in 12% ₹ 100 shares at ₹ 125. Calculate :

(i) the sale proceeds

(ii) the number of ₹ 125 shares he buys

(iii) the change in his annual income from dividend.