# Recent questions tagged ratio-proportion

1 vote
1
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 size and the medium size are in the ratio $2:5.$ If the shop owner decides to increase ... largest size unchanged, the product then changes to $3200.$ The sum of the original prices of three different sizes, in $\text{INR},$ is
2
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 the number of mangoes in a basket of mangoes that has the same cost as the other baskets is : $12$ $10$ $11$ $13$
1 vote
3
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 alone earns in $2 \; \text{days}.$ The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is $7 : 3$ $3 : 2$ $11 : 3$ $11 : 7$
4
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 $4:5.$ If the difference between the largest and the smallest of these three shares is $\text{Rs.} 400,$ then Sunil’s share, in rupees, is
5
6
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 respectively. At present the total of their salary is Rs.8580. The salary of A now is : a) Rs.3800 b) Rs.3300 c) Rs.3900 d) Rs.3120
7
$A$ 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 his capital. The gain at the end of $10$ months was ₹ $760$. The share of $A$ in this profit is ₹ $360$ ₹ $330$ ₹ $430$ ₹ $380$
8
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 equal half-yearly interest from both. He should deposit the savings in Banks $A$ and $B$ in the ratio: $5:2$ $2:5$ $4:5$ $5:4$
9
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 : $16 : 25$ $4 : 3$ $4 : 5$ $3 : 5$
10
If the ratio of the areas of two squares is $9:1$, the ratios of their perimeters is: $9:1$ $3:1$ $3:4$ $1:3$
11
$A$ 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, $B$ invested for: $3$ months $4$ months $\dfrac{11}{3}$ months $6$ months
12
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 share of rent in $₹360$, the total rent of the field (in rupees) is: $1,500$ $1,600$ $1,625$ $1,650$
1 vote
13
A can contains a mixture of two liquids $A$ and $B$ in proportion $7:5$. When $9$ litres of mixture are drawn off and the can is filled with $B$, the proportion of $A$ and $B$ becomes $7:9$. How many litres of liquid $A$ was contained by the can initially? $25$ $10$ $20$ $21$
14
A man invests an amount of $₹15,860$ 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 respectively. If the rate of simple interest is $5\%$, then the ratio of the amounts invested among $A,B$ and $C$ will be $10:15:20$ $110:115:120$ $\dfrac{1}{10} : \dfrac{1}{15}:\dfrac{1}{20}$ $\dfrac{1}{110}:\frac{1}{115}:\frac{1}{120}$
1 vote
15
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 all the girls, each child girl gets a$\$50$ share. What is the sum of money? $\$3000\$300$ $\$110\$10$
16
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 at the end of the year are divided in the ratio of $3:1?$ $5$ months $6$ months $7$ months $8$ months
17
The ratio between Sumit's and Prakash's age at present is $2:3$. Sumit is $6$ years younger than Prakash. The ratio of Sumit's age to Prakash's age after six years will be : $1:2$ $2:3$ $3:4$ $3:8$
1 vote
18
$1/4$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? $8:15$ $5:9$ $8:13$ $4:7$
19
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 ₹$32$? $16, 20, 24$ $12, 16, 20$ $20, 24, 28$ $24, 28, 32$
20
$A$ & $B$ 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? ₹$664$ ₹$550$ ₹$484$ ₹$460$
21
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 $75\%$ respectively. What will be the ratio of increased seats? $2:3:4$ $6:7:8$ $6:8:9$ None of the above options
1 vote
22
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 scores of Anjali, Mohan, and Rama were in the ratio $11:10:3$. Then Anjali's score exceeded Rama's score by $24$ $26$ $32$ $35$
23
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 $47 : 56$. The ratio of Bimal's new score to that of his original score is $5:4$ $8:5$ $4:3$ $3:2$
24
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 that with Lalitha became $5:6$. What fraction of her original number of marbles was given by Lalitha to Raju? $1/4$ $7/33$ $1/5$ $6/19$
1 vote
25
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 possible value of $(a + b+c)$? $201$ $205$ $207$ $210$
1 vote
26
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 $a^{2}:b^{2}$ is $9:4$ $81:4$ $1:4$ $25: 4$
27
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 $7: 17: 16$ for popcorn and $6: 15: 14$ for chips. If the total number of popcorn packets in its stock is the ... of chips packets, then the numbers of jumbo popcorn packets and jumbo chips packets are in the ratio $1:1$ $8:7$ $4:3$ $6:5$
28
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 sold, the merchant got $\text{Rs. }70,000$ less. Find the original price of the diamond. $\text{Rs. }1.4 \text{ lakh}$ $\text{Rs. }2\text{ lakh}$ $\text{Rs. }1 \text{ lakh}$ $\text{Rs. }2.1 \text{ lakh}$
29
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 sold, the merchant got $\text{Rs. 70,000}$ less. Find the original price of the diamond _____________
30
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 income (in Rs) after a year, if Bina’s interest income exceeds Amala’s by Rs $250$? $6350$ $7250$ $7000$ $6000$
31
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 the Re.$1$ coins is at least $50\%$ of the total value of the coins in the bag. If there are $23\:₹5$ coins in ... least $3\%$ of the total value of the coins in the bag, find the number of $₹2$ coins in the bag. $2$ $3$ $4$ $1$
32
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 total number of marbles with the two persons is 90, what can be the number of red marbles with Kallu? a.Either 9 or 45 b.Either 10 or 50 c.Either 36 or 72 d.Either 18 or 36
33
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
34
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? A. 38 B. 40 C. 42 D. 48
35
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 ratio of wine and water became 343:169. The initial amount of wine in the container was ____ litres.
36
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 : 1 10 : 1 11 : 1 None of these
1 vote
37
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 hires 39 pairs of hands, men, woman and children in the ratio 6 : 5 :2 and pays them in all Rs ... work. What must the daily wages of a child be, if the wages are proportional to the amount of work done? Rs. 14 Rs. 5 Rs. 20 Rs. 7
Two liquids A and B are in the ratio $5: 1$ in container $1$ and in container $2$, they are in the ratio $1: 3$. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio $1 : 1$? $2:3$ $4:3$ $3:2$ $3:4$
The value of each of a set of silver coins varies as the square of its diameter if thickness remains constant, and it varies as the thickness if the diameter remains constant. If the diameters of two coins are in the ratio $4:3$ what should the ratio of their thicknesses be if the value of the first is $4$ times that of the second? $16:9$ $9:4$ $9:16$ $4:9$
Krishna distributed $10$ acres of land to Gopal and Ram who paid him the total amount in the ratio $2:3$. Gopal invested a further Rs.$2$ lakh in the land and planted coconut and lemon trees in the ratio $5:1$ on equal area of land. There were a total of $100$ lemon trees. ... equal. What was the ratio of yields per acre of land for coconuts & lemons? $3 : 2$ $2 : 3$ $1 : 1$ cannot be determined.