A and B each has same money. If A gives Rs 30 to B, then B will have twice the money left with A. But if B gives Rs 10 to A, then A will have thrice as much as is left B. How much money does each have ? Solve this situation graphically.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : Sarvesh and Naresh, each has some money. If Sarvesh gives ? 50 to Naresh, then Naresh will have twice the money left with Sarvesh. But if Naresh gives ? 20 to Sarvesh, then Sarvesh will have thrice as much as is left with Naresh. How much money does each have ?

Solve it graphically Shruti and Swati each have certain number of pens. Shruti says to Swati, “If you give me 10 of your pens, I will have twice the number of pens left with you. Swati replies, ‘‘If you give me 10 of your pens, I will have the same number of pens as left with you. Find the number of pens with Shruti and Swati separately.

Rani had Rs 18.50.She bought one ice-cream for Rs.11.75 .How much money does she have now?

I buy a T.V. for Rs.10,000 and sell it at a profit of 20%. How much money do I get for it?

If Rs.250 is to be amongst Ravi, Raju and Roy, so that Ravi gets two parts, Raju three parts and Roy five parts. How much money will each get? What will it be in percentages?

If A and B are two sets such that A uu B has 20 elements, A has 8 elements and B has 16 elements, how many elements does A nn B have ?

Bansi has 3 times as many two-rupee coins as he has five-rupee coins. If he has in all a sum of Rs 77, how many coins of each denomination does he have?

Two schools A and B want to award their selected students on the values of sincerity, truthfulness and helpfulness. The school A wants to award Rs. X and Rs y each and Rs Z each of the three respective values to 3,2 and 1 students respectively with a total award money of Rs 1600. School B wants to spend Rs 2300 to award its 4,1 and 3 students on respective values (b giving the same award money for the three values as before). If the total amount of award for one prize on each value is Rs 900 , using matrices find the award money for each value. Apart from these three values, suggest one more value which should be considered for award.

A company sells two different products A and B. The two products in a common production process which has a total capacity of 500 man hours. It takes 5 hours to produce a unit of A and 3 hours to produce to unti of B. the demand in the market shows that the maximum number of unit of A that can be sold is 70 that for B is 125. Profit on each unit of A is Rs.20 and that on B is Rs.15. How many units of A and B should be produced to maximize the profit? solve it graphically.