Alligations or Mixture

1 200 g of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?

2 A person buys two watches for ₹ 1,000. He sells one watch at a loss of 5% and the other at a gain of 20% and on the whole he gains ₹ 50. Find the cost price of each watch:

3 Jagatram, a milk seller has certain quantity of milk to sell. In what ratio, he should mix water to gain 5% by selling the mixture at the cost price?

4 How many kilograms of salt at ₹ 4/kg must a person mix with 25 kg of salt at ₹ 7/kg, so that he may on selling the mixture at ₹ 6/kg, gain 20% on the outlay?

5 A milkman bought 15 L of milk and mixed 3 L of water in it. If the price per kg of the mixture becomes ₹ 22, what is cost price of the milk per litre?

6 How much water must be added to a vessel which contains 80 litres of milk at cost price ₹ 3.5/litre so that the cost of milk reduces to ₹ 2/litre?

7 A trader has 50 kg of pulses, part of which he sells at 8% profit and rest at 18% profit. He gains 14% on the whole. What is the quantity sold at 18% profit?

8 In a mixture of 60 L the ratio of acid and water is 2 : 1. If the ratio of acid and water is to be 1 : 2, then the amount of water (in litres) to be added to the mixture is

9 Find the ratio in which rice at ₹ 7.20/kg be mixed with rice at ₹ 5.7/kg to produce a mixture worth T 6.3/kg:

10 300 g of salt solution has 40% salt in it. How much salt should be added to make it 50% in the solution?