A person on the tour has Rs 360 on the expenses . If he extends his tour for 4 days ; he has to cut down the daily expenses by Rs 3 . Find the original duration of the tour.

A shopkeeper has a dress costing Rs 400, a bag for Rs175, and a pair of shoes for Rs 250 in his shop. He sells the dress for Rs 450, bag for Rs 175, and the shoes for Rs 220. Find the gain or loss on the three items sold by the shopkeeper.

Vijay had some bananas and he divided them into two lots A and B. He sold the first lot at the rate of RS. 2 for 3 bananas and the second lot at the rate of Rs 1 per banana and got a total of Rs. 400. If he had sold the first lot at the rate of Rs. 1 per banana and the second lot at the rate of Rs.4 for 5 bananas , his total collection would have been Rs 460. Find the total number of bananas he had.

A person plays a game of tossing a coin thrice. For each tail, he is given Rs.3 by the organiser of the game and for each head, he has to give Rs.2 to the organiser. Let X denote the amount gained or lost by the person. Show that X is a random variable and exhibit it as a function on the sample space of the experiment.

Rasheed got a playing top (lattu) as his birthday present, which surprisingly had no colour on it. He wanted to colour it with his crayons. The top is shaped like a cone surmounted by a hemisphere. The entire top is 5 cm in height and the diameter of the top is 3.5 cm. Find the area he has to colour.

A man who swims at a speed of 5km//h wants to cross a 500m wide stream flowing at 4km//h and reach the point which is directly opposite to his starting point. If he reaches a point somewhere else he has to walk back to desitination, his walking speed being 2km//h . Find the minimum time in which he can reah his destination.

A person is paid Rs 150 for each day he works and is find Rs 30 for each day he remains absent. If in 40 days, he earned Rs 3,300, find for how many days did he work?

Daya gets pocket money from his father every day. Out of the pocket money, he saves Rs 2.75 on first day, Rs 3.00 on second day, Rs 3.25 on third day and so on. Find: the total amount saved by him in 30 days.

A person plays a game of tossing a coin thrice. For each head, he is given Rs 2 by the organiser of the game and for each tail, he has to give Rs 1.50 to the organiser. Let X denotes the amount gained or lost by the person. Show that X is a random variable and exhibit it as a function on the sample space of the experiment.

A person plays a game of tossing a coin thrice. For each head, he is given Rs 2 by the organiser of the game and for each tail, he has to give Rs. 1.50 to the organise. Let X denote the amount gained or lost by the person . Thus write the Range of Distribution.

A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs 200 for the first day, Rs 250 for the second day Rs 300 for the third day, etc., the penalty for each succeeding day being Rs 50 more than for the preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days?