Ratios Questions

A man is delayed in reaching his workplace by 30 minutes due to bad traffic as he can drive at
9
7
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of his usual speed. What is his usual time (in hours and minutes) of travel?

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. $32/\text{kg}$?

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?

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?

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 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.

$A$, $B$, and $C$ entered into a partnership business by investing $\text{Rs. }64000$, $\text{Rs. }52000$, and $\text{Rs. }36000$ respectively for a certain period of time. If $A$ receives $\text{Rs. }35584$ as annual profit, what amount will $C$ receive as his share in the profit?

If the surface areas of two spheres are in the ratio $4:9$, then the ratio of their volumes will be:

Which of the following ratios is greatest?

A trader mixes three varieties of groundnuts costing Rs. $50$, Rs. $20$ and Rs. $30$ per kg in the ratio $2:4:3$ in terms of weight and sells the mixture at Rs. $33$ per kg. What percentage of profit does he make?

Amal and Bimal started a business. Amal invested $\text{Rs. }500$ for $9$ months and Bimal invested some money for $6$ months. If they make a total profit of $\text{Rs. }69$ in a year and Bimal gets a profit share of $\text{Rs. }46$, the capital invested by Bimal in the business is:

If $2x^2+5y^2+2z^2-2xy-6yz=0$, then $x:y:z$ is:

Gold and Copper are heavier than water by $19$ and $9$ times respectively. In what proportion should they be mixed to form an alloy so that it will be heavier than water by $15$ times?

Satyajit is younger than Diganta by $8$ years. If their ages are in the ratio of $5:7$, then how old is Satyajit?

In a joint business, the ratio of the capitals of three friends was $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$. After $4$ months, the first friend withdrew half of his capital and $8$ months thereafter, $\text{Rs. }2024$ was recorded as their total profit. What was the share of profit of the first friend?

Sanket earns twice as much in the month of March as in each of the other months of the year. What part of his entire annual earnings was earned in March?

In a distribution of students in a town, the total number of graduate students is $27300$ and institute S comprises $21\%$ of them. The total number of post-graduate students is $24700$ and institute S comprises $19\%$ of them. What is the ratio between the number of students studying at post-graduate and graduate levels respectively from institute S?

If the current ratio of the father's age to the son's age is $4:1$ and the product of their ages is $256$, what will be the ratio of their ages after $5$ years?

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?

Walking $\frac{3}{4}\text{th}$ of her normal speed, Athira is $15\text{ minutes}$ late in reaching her office. What is the usual time taken by her to cover the distance between her home and office?

If the loss incurred on selling an article is $23\%$, then what will be the ratio of its cost price and selling price?

In what ratio must a mixture of $40\%$ acid be mixed with that of $60\%$ acid to get a mixture of $49\%$ acid?

A dairyman pays $6.4$ per litre of milk. He then adds water in the milk and sells the mixture at $8$ per litre, thereby making a $37.5\%$ profit. What is the proportion of water to milk, in the milk received by the customers?

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)?

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?

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?

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?

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?

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.

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?

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 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 $1:1$?