Ratios Questions

A student appeared in $6$ papers. The maximum marks are the same for each paper. His marks in this paper are in the proportion of $5:6:7:8:9:10$. Overall he scored $60\%$. In how many papers he received less than $60\%$ marks?

The ratio of quantities of sugar in which sugar costing Rs. $40/\text{kg}$ and Rs. $30/\text{kg}$. In what ratio both sugar should be mixed so that there is no gain or loss when the mixture is sold at Rs. $32/\text{kg}$?

Two numbers are in the ratio $5:8$. If $4$ is added to each, the ratio becomes $2:3$. Find the smaller number.

Two numbers are in the ratio $1:3$ and their HCF is $26$. If one number is $78$, then find the other number.

A recipe requires sugar and flour in the ratio of $1:4$ respectively. If you want $2$ cups of sugar, then how many cups of flour are required?

A and B start a business together. A invests ₹ $4,000$ and B invests ₹ $6,000$. At the end of one year, they earn a total profit of ₹ $5,000$. Find A's share of the profit.

A container contains two liquids, $X$ and $Y$, in the ratio $5:3$. When $8\text{ liters}$ of the mixture is drawn off, and the container is filled with liquid $Y$, the ratio of $X$ to $Y$ becomes $2:3$. How many liters of liquid $X$ was in the container initially?

The ratio of glycerin and water in a mixture is $3:1$. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of glycerin and water becomes $1:1$?

In what ratio must the two types of tea at $\text{₹}180\text{/kg}$ and $\text{₹}280\text{/kg}$ respectively be mixed so that the obtained mixture sold at $\text{₹}320\text{/kg}$ earns a profit of $20\%$?

The ratio between the speed of travelling of A and B is $2:3$ and therefore A takes $15$ minutes more than the time taken by B to reach a destination. If A had walked at double the speed, how long would he have taken to cover the distance?

There are Senior officers and Secretaries in an office. If $15$ Secretaries went on leave, then every Secretary has two Senior officers. After that $45$ Senior officers went on leave and now every Senior officer has $5$ Secretaries. Then find out how many Secretaries were there initially.

In an examination, there were two papers, A and B, and the maximum mark in each of the two papers was 10. However, the weights assigned to papers A and B were in the ratio 2:1, respectively. Riddhi scored 8 out of 10 in Paper B, and an overall 70% in the examination. How much did she score in Paper A out of 10?

The initial ratio of water and milk in a mixture of 84 litres is 2:5. What quantity of water (in litres) should be added to the mixture so that the resulting mixture has 50% of water?

Roshan owned a plot of land having an area that was 20% more than the area of the plot owned by Susan, while the area of the plot of land owned by Jacob was 30% more than the area of the plot owned by Roshan. If the area of the plot owned by Susan was 1250 square feet, what was the area (in square feet) of the plot owned by Jacob?

If class A has 11 boys and 18 girls, class B has 13 boys and 17 girls, and class C has 20 boys and 9 girls, which class has the biggest ratio(s) of boys to girls?

A chemistry laboratory requests for a 25% solution of ferrous sulphate. A supplier has 40 millilitres of 20% solution. How many millilitres of 40% solution should be added to make it a 25% solution (correct to two decimal places)?