Joseph bought two varieties of rice, costing 5 cents per ounce and 6 cents per ounce each, and mixed them in some ratio. Then he sold the mixture at 7 cents per ounce, making a profit of 20 percent. What was the ratio of the mixture?

In what proportion must rice at $0.8 per pound be mixed with rice at $0.9 per pound so that the mixture cost $0.825 per pound?

A farmer mixes two brands $P$ and $Q$ of cattle feed. Brand $P$ costing Rs. 250 per bag, contains 3 units of nutritional element A, 2.5 units of element B and 2 units of element C. Brand $Q$ costing Rs. 200 per bag contains 1.5 units of nutritonal element A, 11.25 units of element B and 3 units of element C. The minimum requirements of nutrients A,B and C are 18 units, 45 units and 24 units respectively. Determine the number of bags of each brand which should be mixed in order to produce a mixture having a minimum cost per bag? What is the minimum cost of the mixture per bag?

A line segment of length 7.5 cm was wrongly measured as 7.2 cm. What was the error per cent ?

Two liquids are at temperatures ${20}^{\circ }C\text{and}{40}^{\circ }C$. When same mass of both of them is mixed, the temperature of the mixture is ${32}^{\circ }C$. What is the ratio of their specific heats?

A tea connoisseur wants to mix two varieties of tea in order to makes a special variant. He wants to use Green Tip priced at $100/Ib and Cinnamon Dew priced at $135/Ib respectively. In what ratio should he mix them so that the average price of the mixture comes to $150/Ib if he wants to makes a 25% profit by selling it ?

A trader mixes two varieties of salt, viz. A and B. The cost price of A was Rs 28 per kg and of B was Rs 21 per kg. If he mixes these two varities in the ratio $2:5$ , at what price per kg should he sell the mixture to make an profit of $5\%$ ?

A firm manufactures two types of products, A and B, and sells them at a profil of 3 per unit to type B product and 5 perunit of type A product. Both product is processed on two machines M1and M2 One unit of type A requires one minute of processing time on M1 and two minutes of processing time on M2i whereas one unit of type B requires one minute of processing time on M1 and one minute on M Machines sells them at a profit of 5 per unit of type A and M, and M, are respectively available for at most 5 hours and 6 hours in a day. Find out how many units of each type of product the firn should produce a day in order to maximize the profit. Solve the problem graphically [CHSE 2000]

A fruit-seller bought bananas at the rate of 3 for Rs. 8 and sold them at the rate of 2 for Rs. 7. Find his gain or loss per cent.

A mixture of $N{H}_{4}N{O}_3\text{and}{\left(N{H}_4\right)}_{2}HP{O}_4$ contain $30.40\%$ mass per cent of nitrogen. What is the mass ratio of the two components in the mixture?

Karim bought 150 dozens pencils at Rs 10 a dozen. His overhead expenses were Rs 100. He sold them at Rs 1.20 each. What was his profit or loss percent?