SSC CGL MATHS QUIZ

A milkman buys some milk. If he sells it Rs.7 per litre, he loss Rs.500, but he sells it at Rs.8 per litre he gains Rs.450. How much milk did he purchase?

In a class of 70 students, there are 28 girls and rest are boys. Average marks scored by the girls is $45.6$. What is the average marks of the boys it the class average is 54 ?

Salt costing at Rs. 30/kg and 25/kg are mixed in the ratio $4: 7$ by weight. If $36.36 \%$ of the mixture is sold at Rs. $41.25 / \mathrm{kg}$ then at what rate (in Rs./kg) must the remaining mixture be sold so that there is a profit of $20 \%$ on the whole transaction?

A vessel is filled with liquid, 3 parts of which are water and 5 parts are milk. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half milk.

80 liter mixture of milk and water contains 10% milk. How much milk must be added to make water percentage in the mixture as 80% ?

The ratio of milk and water in $55 \mathrm{~kg}$ of mixture is $7: 4 .$ The quantity of water must be added to make the ratio $7: 6$ is:

Milk contains 5% water, what quantity of pure milk should be added to 10 liters of milk to reduce this to 2%?

Two alloys A and B have silver and copper in the ratio 5 : 1 and 7 : 2 respectively. In what ratio should they be mixed for 80% silver in the mixture?

Three containers have their volumes in the ratio $3: 4: 5$. They are full of mixture of milk and water. The mixture contain milk and water in the ratio of $(4: 1),(3: 1)$ and $(5$ :2) respectively. The contents of all three container are poured into a fourth container. The ratio of milk and water in the fourth container is:

A solution contains acid and water in the ratio 16 : a . When $450 \mathrm{ml}$ of this solution is mixed with 70 ml water, the ratio of acid and water becomes $4: 9$ what is the value of a?