An organisation bought two paintings of an artist for Rs.9,00,000 and Rs.20,00,000 and two more paintings from another artist for Rs.30,21,636 and Rs.1,71,61,084.Let us find how much has been spent on painting.

In a partnership business of two men, capital and profit share of 1st man are Rs 12,000 and Rs 20,000 respectively. If the total profit of this business is Rs 30,000 then calculate the capital of 2nd man.

At the starting of the year two friends Bhaskar and Indrajit starts a joint business with capital Rs. 20,000 and Rs, 25,000. After some months Bhaskar invests Rs. 10,000 more in the business. At the end of the year they make a profit of Rs. 3100 and Bhaskar gets Rs. 1600 as profit. After how many months of startind the business Bhasker invests the capital of Rs. 10,000?

The ratio fo the Costs of two houeses is 4 : 3 and the cost of the secon house is Rs. 4,20,000. Let's find the cost of the first house. If the cost of the first house was Rs. 70,000 more then let's find the ratio of their costs.

During retirement, Binoy get Rs. 1,96,150. He donated rs. 20,000 for school library and the remaining amount he devided among his wife, son and daughter in the ratio of 5 : 4 : 4 . Let's find how much money he gave each of them.

(Allocation problem) A cooperative society of farmers has 50 hectare of land to grow two crops X and Y. The profit from crops X and Y per hectare are estimated as rs. 10,500 and Rs. 9,000 respectively. To control weeds, a liquid herbicide has to be used for crops X and Y at rates of 20 litres and 10 litres pre hectare. Further, no more than 800 litres of herbicide should be used in order to protect fish and wild life using a pond which collects drainage from this land. How much land should be allocated to each crop so as to maximise the total profit of the society?

A,B,C have started a partnership business by investing Rs 6,000 Rs 8,000 and Rs 9,000. After few months A has invested Rs 3000 more. At the end of the year, if the total profit is Rs 3,000 and the profit share of C is Rs 10,800, then find the period for which A's capital of Rs 3,000 has been invested.

Chanchala's father borrows some money to build his house. He returned Rs. 2000. more than frac(1)(3)rd of the money be borrowed. However he still has to repay Rs. 27,000. Let's find the amount of money he borrowed.

Let's divide Rs. 9,000 among three friends in such a way that the second friends get's twice the amount the first friend gets, and the thrid friend gets half of the total sum of money two friend have got. Let's calculate how much amount of each friend will get.

A trust fund has Rs. 30,000 that must be invested in two different types of bonds. The first bond pays 5% interest per year, and the second bond pays 7% interest per year. Using matrix multiplication, determine how to divide Rs. 30,000 among the two types of bonds. If the trust fund must obtain an annual total interest of: (a) Rs. 1800 (b) Rs. 2000

There are two types of fertilisers F_(1) and F_(2),F_(1) consists of 10% nitrogen and 6% phosphoric ancid and F_(2) consists of 5% nitrogen and 10% phosphoric acid. After testing the soil conditions, a farmer finds that she needs atleast 14 kg of nitrogen and 14 kg of phosphoric acid for her crop. If F_(1) costs Rs. 6/kg and F_(2) costs Rs. 5/kg determine how much of each type of fertiliser should be used so that nutrient requirements are met at a minimum cost. What is the minimum cost?