Ratio Proportion and Partnership

A sum of money is to distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Tk. 1000 more than D, what is B's share?

• ক. Tk. 500
• খ. Tk. 1500
• গ. Tk. 2000
• ঘ. None of these

A starts business with Tk. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B's contribution in the capital?

• ক. Tk. 7500
• খ. Tk. 8000
• গ. Tk. 8500
• ঘ. Tk. 9000

In what ratio must tea at Tk. 62 per kg be mixed with tea at Tk. 72 per kg so that the mixture must be worth Tk. 64.50 per kg?

• ক. 3 : 1
• খ. 3 : 2
• গ. 4 : 3
• ঘ. 3 : 5

In a 500m race, the ratio of the speeds of two comtestants A and B is 3 : 4. A has start of 140m. Then A wins by:

• ক. 60m
• খ. 40m
• গ. 20m
• ঘ. 10m

X and Y invested in a business. They earned some profit which they divided in the ratio of 2 : 3. If X invested Tk. 40,000 the amount invested by Y is:

• ক. Tk. 45,000
• খ. Tk. 50,000
• গ. Tk. 60,000
• ঘ. Tk. 80,000

The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250. The sum of the numbers is:

• ক. 30
• খ. 50
• গ. 60
• ঘ. 90

A certain amount is distributed among A, B and C. A gets 3/10 and B gets 1/4 of the whole amount, If C gets Tk. 81, then B gets:

• ক. Tk. 45
• খ. Tk. 32
• গ. Tk. 36
• ঘ. Tk. 40

If x : y = 5 : 3, then (8x – 5y) : (8x + 5y) =?

• ক. 3 : 12
• খ. 8 : 13
• গ. 3 : 11
• ঘ. 5 : 11

Taka 1105 was divided between A, B and C. The amount of money received by A & B were in the ratio 1 : 2. The amount of money received by B & C were in the ratio 3 : 4. How much money did A receive?

• ক. Tk.1500
• খ. Tk.100
• গ. Tk.205
• ঘ. Tk.195

A sum of money is distributed among x, y & z in the proportion 5 : 7 : 10. What is the largest amount of taka not exceeding 1000 which could be distrubuted among them without using a fraction of a taka?

• ক. 968
• খ. 990
• গ. 989
• ঘ. 999

Three individuals contributed Tk.8000 each toward the purchase of a computer. If they bought the computer on sale for Tk.19500 plus 10% sales tax, how much money should be refunded to each individual?

• ক. Tk.1500
• খ. Tk.1950
• গ. Tk.650
• ঘ. Tk.850

A jar contains 10 pencils, some sharpened and unsharpened. Each of the following could be the ratio of sharpened to unsharpened pencils except?

• ক. 4 : 1
• খ. 3 : 2
• গ. 1 : 1
• ঘ. 9 : 1

In making a ratio set the costs of labor and material are in the ratio 3 : 2. A manufacturer sells a set of Tk.150 to make a gain of 25% on the cost. What is the cost of the meterial for the set?

• ক. Tk.54
• খ. Tk.48
• গ. Tk.40
• ঘ. Tk.72

A football team had a ratio of win to loss of 3 : 1. After wining 6 games in a row the team's ratio of win to loss became 5 : 1. How many games had the team won before it the six games?

• ক. 9
• খ. 6
• গ. 3
• ঘ. 12

A certain pole casts a shadow 24 feet long. At the same time another pole which is 3 feet high casts a shadow 4 feet long. How high is the first pole given that the heights and shadows are in proportion?

• ক. 20
• খ. 21
• গ. 18
• ঘ. 19

A person buys some pens and pencils. The pen costs Tk.7 ech and pencil costs Tk.3 each. If he spends exactly Tk.81 and buys the maximum numbers of pen possible under these conditions, what is the ratio of pen to pencil?

• ক. 3 : 2
• খ. 2 : 3
• গ. 4 : 3
• ঘ. 5 : 3

Company A owns 40% of the stock in the XYZ Corporation. Company B owns 15000 shares. Company C owns rest of the shares. If company C owns 25% more share than company A, how many shares does company A own?

• ক. 60000
• খ. 75000
• গ. 90000
• ঘ. 45000

The 20"-diameter wheels of a car rotates at rate of 24 revolutions per minute, while the 30"-diameter wheels of another car travels at a rate of 18 revolutions per minute. What is the ratio of the speed of the second car to that of the first?

• ক. 4 : 3
• খ. 6 : 5
• গ. 9 : 8
• ঘ. 1 : 1

A certain 90-miles trip took 2 hours. Exactly 1/3 rd of the distance was traveled by rail and this part of the trip took 1/5 th of the travel time. What was the average rate in miles per hour of the rail promotion trip?

• ক. 45 mph
• খ. 60 mph
• গ. 75 mph
• ঘ. 12 mph

Two blends of tea costing $2.80 and $3.20 per kg respectively, are mixed in the proportion 2 : 3. The mixture is sold at $4.80 per kg. What was the percentage of profit?

• ক. 57.9
• খ. 60
• গ. 50.7
• ঘ. 50.9

Coffee A normally costs Tk.100 per lb. It is mixed with coffee B, which normally costs Tk.70 per lb, to from a mixture that costs Tk.88 per lb. If there are 10 lbs of the mix, how many pounds of coffee A is used in the mixture?

• ক. 4
• খ. 6
• গ. 5
• ঘ. 7

A jar contains white, red and green marbles in the ratio 2 : 3 : 4. Five more green marbles are added to make the ratio 2 : 3 : 5. How many white marbles are there in the jar?

• ক. 8
• খ. 10
• গ. 4
• ঘ. 6

A room has a floor area of 150 sq. feet. If the length & breadth of the room are in the ratio 3 : 2, then what is the length of the floor in feet?

• ক. 20
• খ. 9
• গ. 10
• ঘ. 15

Business partners A, B and C agree to divide their total profit for the year in the ratio 4 : 7 : 8 respectively. If A's share of the profit is Rs.16000, what was the total profit of the business partners for the year?

• ক. Rs.64000
• খ. Rs.76000
• গ. Rs.30000
• ঘ. Rs.3000000

Divide Rs.5625 among A, B and C so that A receive 1/2 as much as B & C and B 1/4 of what A and C together receive?

• ক. 1125, 1870, 2630
• খ. 2625, 1875, 1125
• গ. 1875, 1125, 2625
• ঘ. 6

A man buys some shirts and some ties. Shirts cost Tk.70 each and the ties cost Tk.30 each. If the man spends exactly Tk.810 and buys the maximum number of shirts possible under these condition, what is the ratio of shirts to ties?

• ক. 5 : 3
• খ. 4 : 3
• গ. 3 : 2
• ঘ. 4 : 1

Whichof the ratio is the greatest?

• ক. 3 : 7
• খ. 5 : 9
• গ. 7 : 11
• ঘ. None

Jahirul and Jalil agree to form a partnership. The partnership agreement requires that Jahirul invests Tk.7000.00 less than one half of what Jalil invests. If the total investment is Tk.125000.00, how much does Jolil invest?

• ক. Tk.163200
• খ. Tk.258000
• গ. Tk.78666.67
• ঘ. Tk.46333.33

For a certain student the average of five test scores is 83. If four of the scores are 81, 79, 85 and 90. What is the score of the fifth test?

• ক. 83
• খ. 82
• গ. 81
• ঘ. 80

35% of Tahia's income is equal to 25% of Noria's income. The ratio of their income is--

• ক. 7 : 5
• খ. 4 : 3
• গ. 4 : 7
• ঘ. 5 : 7

The ratio of boys and girls in a class is 1 : 2 and the classroom has 24 students. How many boys would have to be admited to make ratio of boys to girls 1 : 1?

• ক. 6
• খ. 8
• গ. 10
• ঘ. 12

If a : b = 4 : 7 and b : c = 5 : 6, then a : b : c =?

• ক. 7 : 6
• খ. 20 : 35 : 30
• গ. 20 : 35 : 42
• ঘ. 24 : 42 : 30

In a class the ratio of the number of boys to girls is 5 : 3. What percent of the students of the class are girls?

• ক. 37.5%
• খ. 50%
• গ. 60%
• ঘ. 62.5%

In a school the ratio of boys to girls is 3 : 7. If there are 150 boys and girls in the school, how many boys are there?

• ক. 45
• খ. 75
• গ. 90
• ঘ. 105

Two-fifths of the caps in box are red, one-fourth is blue and the rest are green. What is the ratio of the green caps to the blue caps?

• ক. 5 : 8
• খ. 5 : 7
• গ. 7 : 8
• ঘ. 8 : 7

If 36 students in a class are female and the ratio of female students to male students is 9 : 11, what percentage of the class is female?

• ক. 25%
• খ. 33.33%
• গ. 45%
• ঘ. 66.66%

If there are 300 calories in 100 grams of a certain food, how many calories are there in a 30 gram portion of that food?

• ক. 90
• খ. 100
• গ. 900
• ঘ. 1000

The ratio of the number of boys to the number boys to the number of girls in a certain school club is 3 : 4. If there are 5 more girls than boys in the club, how many girls are in the club?

• ক. 20
• খ. 8
• গ. 12
• ঘ. 15

Let A, B and C shares profit at the ratio of 2 : 3 : 7 and A and B together get Tk.1500 less than C gets. How much A will get:

• ক. 2000
• খ. 1200
• গ. 1500
• ঘ. 750

Two-fifths of the socks in box are red, one-third is blue and the rest are green. What is the ratio of the green socks to the blue socks?

• ক. 4 : 5
• খ. 5 : 6
• গ. 6 : 7
• ঘ. 7 : 8

If Anwar's salary is 25% greater than that of Babu, what is the ratio of the salary of Babu and Anwar?

• ক. 3/4
• খ. 4/5
• গ. 4/3
• ঘ. 25/85

Saif, Noman and Morshed divided a sum of money among thenselves in the ratio 2 : 3 : 7. Find the share of Saif if the total share of Saif and Noman together is Tk.1500 less than that of Morshed.

• ক. Tk.2000
• খ. Tk.1200
• গ. Tk.1500
• ঘ. Tk.2500

In a class there are 32 females. The ratio of female to male is 16 : 9. What is the percentage of female in that class?

• ক. 32%
• খ. 36%
• গ. 56.25%
• ঘ. 64%

Business Partners A, B and C agree to divide their total profit for the year in the ratios 1 : 2 : 2 respectively. If B's share of the profits is Tk,27200, what was the total profit of the business partners for the year?

• ক. Tk.64000
• খ. Tk.30000
• গ. Tk.76000
• ঘ. Tk.68000

A, B and C enter into partnership with investments in the ratio of 5 : 7 : 8. If at the end of the year A's share of profit is Tk.42360, ow much is the total profit?

• ক. Tk.169440
• খ. Tk.183000
• গ. Tk.196700
• ঘ. Tk.168440

If x : y = 2 : 3, and m : n = 9 : 4, find the ratio xn : ym.

• ক. 27 : 8
• খ. 3 : 2
• গ. 2 : 3
• ঘ. 8 : 27

After taking 30 socks out of the washing machine, Shamim noticed that the ratio of blue socks to brown socks to black shoks was 2 : 3 : 5. How many black socks were in the washing machine?

• ক. 21
• খ. 15
• গ. 9
• ঘ. 6

Three boys have marbles in the ratio of 19 : 5 : 3. If the boy with the least number has 9 marbles, how many marbles does the boy with the highest number have?

• ক. 57
• খ. 15
• গ. 76
• ঘ. 38

Saif, Dr. Nazma and Shakil divided a sum of money among themselves in the ratio 2 : 3 : 7. Find the share of Saif if the total sare of Saif and Dr. Nazma together is Tk.1500 less than that of Shakil?

• ক. Tk.2000
• খ. Tk.1200
• গ. Tk.1500
• ঘ. Tk.2500

Cheese, egg and beef sandwiches were made for a picnic in a ratio of 5 to 7 to 8. If the total of 120 sandwiches were made, how hany egg sandwiches were made?

• ক. 15
• খ. 30
• গ. 38
• ঘ. 42

The ratio between the length and breadth of a field is 7 : 5. The perimeter of the field is 360 meter. What is the area of the field?

• ক. 31000 sq. meter
• খ. 31500 sq. meter
• গ. 7875 sq. meter
• ঘ. 8775 sq. meter

Find the amount of dividend per share received annually by a stock holder for the following: par value Tk.10, dividend rate 4% and dividend payable annually.

• ক. Tk.5
• খ. Tk.0.40
• গ. Tk.0.60
• ঘ. None of these

The ratio of the angles of a triangle is 2 : 3 : 4. What is the largest angle in degrees?

• ক. 30
• খ. 60
• গ. 80
• ঘ. 90

If A : B = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, what is the ratio between A to D?

• ক. 5 : 4
• খ. 13 : 4
• গ. 16 : 35
• ঘ. 13 : 20

Quantity A : 1 - 1/27 and Quantity B : 8/9 + 1/81--

• ক. Quantity in A is greater
• খ. Quantity in B is greater
• গ. The two quantities are equal
• ঘ. The relationship indeterminate

On a shipping trip, Karim spent 1/3 of his money for a jaket and another Tk.5 for a hat. If he still had 1/2 of his money left, how much money did he save originally?

• ক. Tk.18
• খ. Tk.24
• গ. Tk.30
• ঘ. Tk.50

The ratio of ages of a father and his son was 5 : 1. What is the age of the son after five years, if the ratio of their ages is 3 : 1 by this time?

• ক. 7
• খ. 10
• গ. 12
• ঘ. 14