₹480 is divided equally among 'x' children. If the number of children were 20 more, then each would have got ₹12 less . Find 'x'.

₹7500 were divided equally among a certain number of children. Had there been 20 less children, each would have received ₹100 more. Find the original number of children.

A trader buys x articles for a total cost of ₹600.

(i) Write down the cost of one article in terms of x.

If the cost per article were ₹5 more, the number of articles that can be bought for ₹600 would be four less.

(ii) Write down the equation in x for the above situation and solve it to find x.

A shopkeeper buys a certain number of books for ₹960. If the cost per book was ₹8 less, the number of books that could be bought for ₹960 would be 4 more. Taking the original cost of each book to be ₹x, write an equation in x and solve it to find the original cost of each book.