Recent questions tagged ratio-proportion

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The number of coins collected per week by two coin-collectors $A$ and $B$ are in the ratio $3: 4$. If the total number of coins collected by $A$ in $5$ weeks is a multipl...
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The number of coins collected per week by two coin-collectors $A$ and $B$ are in the ratio $3: 4$. If the total number of coins collected by $A$ in $5$ weeks is a multipl...
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In a company, $20 \%$ of the employees work in the manufacturing department. If the total salary obtained by all the manufacturing employees is one-sixth of the total sal...
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A container has 20 L of milk. 4 L of milk is replaced with an equal quantity of water. What was will be the final quantity of milk in the container if the process is repe...
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A tea shop offers tea in cups of three different sizes. The product of the prices, in $\text{INR},$ of three different sizes is equal to $800.$ The prices of the smallest...
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A basket of $2$ apples, $4$ oranges and $6$ mangoes costs the same as a basket of $1$ apple, $4$ oranges and $8$ mangoes, or a basket of $8$ oranges and $7$ mangoes. Then...
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The amount Neeta and Geeta together earn in a day equals what Sita alone earns in $6 \; \text{days}.$The amount Sita and Neeta together earn in a day equals what Geeta al...
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A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is $3:2,$ while the ratio of the shares of Sunil and Mita is $4:5.$ I...
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One year ago the ratio between A’s and B's salary was 3:4. The ratio's of their individual salaries between previous year's and present year's salaries are 4:5 and 2:3 re...
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$A$ and $B$ entered into partnership with capitals in the ratio $4$ and $5$. After $3$ months, A withdrew $\frac{1}{4}$ of his capital and $B$ withdrew $\frac{1}{5}$ of h...
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The rates of simple interest in two banks $A$ and $B$ are in the ratio $5: 4$. A person wants to deposit his total savings in two banks in such a way that he received equ...
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A man invests some money partly in $3\%$ stock at $96$ and partly in $4\%$ stock at $120$. To get equal dividends from both, he must invest the money in the ratio :$16 : ...
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If the ratio of the areas of two squares is $9:1$, the ratios of their perimeters is:$9:1$$3:1$$3:4$$1:3$
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$A$ and $B$ start a business with initial investments in the ratio $12:11$ and their annual profits were in the ratio $4:1$. If $A$ invested the money for $11$ months, $B...
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Four milkmen rented a pasture. $A$ grazed $18$ cows for $4$ months, $B$ $25$ cows for $2$ months, $C$ $28$ cows for $5$ months and $D$ $21$ cows for $3$ months. If $A$’s ...
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A man invests an amount of $\text₹15,860$ in the names of his three sons $A,B$ and $C$ in such a way that they get the same interest after $2,3$ and $4$ years respectivel...
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On a scale of a map, $0.6$ cm represents $6.6$ km. If the distance between two points on the map is $80.5$ cm, the actual distance between these points is:$9$ km$72.5$ km...
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Assume that a sum of money is divided equally among $n$ girls. Each girl will receive $\$60.$ If another girl is added to the group and the sum is divided equally among a...
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Adrian starts a start-up with a capital of Rs. $85,000.$ Brian joins in the start-up with Rs. $42,500$ after sometime. For how much period does Brian join, if the profits...
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$1/4$th of $60\%$ of a number is equal to $2/5$th of $20\%$ of another number. What is the respective ratio of the first number to that of second number?$8:15$$5:9$$8:13$...
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How many one rupee coins, $50$ paise coins and $25$ paise coins of which the numbers are proportional to $4, 5$ and $6$ are together worth ₹$32$?$16, 20, 24$$12, 16, 20$...
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$A$ & $B$ together have ₹$1210$. If $4/15$ of $A's$ amount is equal to $2/5$ of $B's$ amount, how much amount does $B$ have?₹$664$₹$550$₹$484$₹$460$
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Seats for Mathematics, Physics and Biology in a school are in the ratio of $5 : 7 : 8$. There is a proposal to increase these seats by $40\%, 50\%$ and $75\%$ respectivel...
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In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by $6$. The revised scor...
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The scores of Amal and Bimal in an examination are in the ratio $11: 14$. After an appeal, their scores increase by the same amount and their new scores are in the ratio ...
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Raju and Lalitha originally had marbles in the ratio $4:9$. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to th...
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If $a, b, c$ are three positive integers such that $a$ and $b$ are in the ratio $3:4$ while $b$ and $c$ are in the ratio $2:1$, then which one of the following is a possi...
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If $a$ and $b$ are integers of opposite signs such that $\left ( a+3 \right )^{2}:b^{2}= 9:1$ and $\left ( a-1 \right )^2 : \left ( b-1 \right )^2= 4:1$ , then the ratio ...
2 2 votes
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A stall sells popcorn and chips in packets of three sizes: large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio $7: 17: 1...
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The cost of diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio $1 : 2 : 3 : 4.$ When the pieces were...
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The cost of diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weight in the ratio $1: 2 : 3: 4.$ When the pieces were so...
2 2 votes
1 1 answer
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Amala, Bina, and Gouri invest money in the ratio $3:4:5$ in fixed deposits having respective annual interest rates in the ratio $6:5:4$. what is their total interest inco...
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In a bag there are total of $150$ coins in three denominations $₹1,₹2$ and $₹5$ with at least one coin of each denomination being present in the bag. The total value of t...
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Q.Rekha and Kallu have a certain number of red and black marbles with them. The ratio of red marbles to black marbles with them is 7 : 1 and 9 : 1 respectively. If the to...
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X,Y and Z are 3 quantities.X varies inversely with Y when z is constant.Y varies inversely with Z when X is constant.When Y=8,Z=7 and X=30.Find X if Y=16 and Z=21
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$96$ is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?38404248
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From a container of wine, a thief has stolen 15 litres of wine and replaced it with same quantity of water. He repeated the same process and thus in three attempts the ra...
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A man buys spirit at Rs. 60 per litre, adds water to it and then sells it at Rs. 75 per litre. What is the ratio of spirit to water if his profit in the deal is 37.5%?9 :...
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Choose the best alternative:One man can do as much work in one day as a woman can do in 2 days A child does one-third the work in a day as a woman. If an estate-owner hir...