mathematics MCQs – Page 69

Practise multiple-choice questions from mathematics for competitive examinations and subject revision. Review each marked answer and report any item that may be outdated or unclear.

3401. A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
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A. Rs.3800

B. Rs.3600

C. Rs.4200

D. Rs.3240

3402. A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?
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A. Rs. 26000

B. None of these

C. Rs. 28000

D. Rs. 30000

E. Rs. 24000
3403. A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1500. The difference between the profit shares of A and C is?
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A. None of these

B. Rs. 400

C. Rs. 500

D. Rs. 300

E. Rs. 600
3404. A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
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A. Rs.8000, Rs.17000

B. Rs.18000, Rs.7000

C. Rs.9000, Rs.16000

D. Rs.10000, Rs.15000
3405. P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
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A. 17:23

B. 15:23

C. 3:04

D. None of these

E. 3:05

3406. A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that years profit?
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A. 9:10

B. 9:8

C. 3:04

D. 39:49:00

3407. A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
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A. Rs.14000

B. Rs.17000

C. Rs.18000

D. Rs.15000

3408. Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent paid by all the four agencies?
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A. Rs. 6150

B. Rs. 4500

C. Rs. 5250

D. Rs. 4800

E. None of these

3409. A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. As income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
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A. Rs.2450

B. Rs.3600

C. Rs.3100

D. Rs.2500
3410. A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
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A. 180

B. 200

C. 280

D. 120

3411. If 6 (As capital) = 8 (Bs capital) = 10 (Cs capital). Then the ratio of their capitals is:
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A. 3:04:05

B. 6:08:10

C. 12:15:20

D. 20:15:12
3412. Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
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A. Rs.3600

B. Rs.2850

C. Rs.2000

D. Rs.2400
3413. A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
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A. 20:23

B. 34:43:00

C. 32:45

D. 37:45:00

3414. In a partnership between A, B and C. As capital is Rs.5000. If his share of a profit of Rs.800 is Rs.200 and Cs share is Rs.130, what is Bs capital?
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A. Rs.10250

B. Rs.6250

C. Rs.11750

D. Rs.3250

3415. Kashif and Nadeem jointly started a business. Kashif invested three times as Nadeem did and invested his money for double time as compared to Nadeem. Nadeem earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
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A. Rs.24000

B. Rs.28000

C. Rs.20000

D. Rs.16000

3416. A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is Bs investment in the business?
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A. Rs.2400

B. Rs.6000

C. Rs.1800

D. Rs.3600

3417. What is the ratio of Faheems salary to Imrans salary to Naveeds salary if Faheem makes 80,000 rupees ,Imran 70,000 rupees and Naveed makes 50,000 rupees ?
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A. 7:08:05

B. 80:70:60

C. 4:07:05

D. 8:7:5
3418. The ratio of two numbers is 5:9. If each number is decreased by 5, the ratio becomes 5:11. Find the numbers.
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A. 30, 19

B. 15, 34

C. 21, 37

D. 15, 27
3419. p is 50% more than q. Find the ratio of p to q.
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A. 3:2

B. 1:02

C. 1:05

D. 2:01

3420. The number of seats available for Biology and Computer Science in a school is in the ratio 5:8. They are to be increased by 30% and 25% . Find the new ratio.
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A. 3:04

B. 13:20

C. 35:33:00

D. 6:10

3421. x is 20% more than z and y is 80% more than z. Find x:y.
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A. 1:03

B. 1:04

C. 3:04

D. 2:3
3422. Find the value of x when y = 5, if x varies directly as 4y-1 and x = 14 when y = 2.
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A. 10

B. 38

C. 35

D. 28

3423. A, B, C and D divide a sum of money among themselves in the ratio 7:4:3:2. If D gets Rs. 500 less than A, find the total amount.
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A. Rs.2000

B. Rs.100

C. Rs.700

D. Rs.1600
3424. 4 singers, 5 dancers and 3 comperes divide an amount of Rs.130000 among themselves such that 3 comperes get as much as 2 dancers and 3 dancers get as much as 2 singers. Find the amount received by a singer.
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A. Rs.18000

B. Rs.10000

C. Rs.13000

D. Rs.15000
3425. X, Y and Z are quantities of the same kind such that X:Y=5:8 and Y:Z=4:7. Find X:Z.
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A. 5:07

B. 67:56:00

C. 32:35:00

D. 5:14
3426. Divide Rs.2000 into two shares in the ratio 3:2.
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A. Rs.1500,Rs.500

B. Rs.1100, Rs.900

C. Rs.800,Rs.1200

D. Rs.1200,Rs.800
3427. Two kinds of rice, 1st costs Rs.13 per kg and 2nd costs Rs.19 per kg are mixed together. Find the ratio in which the 2 types are mixed so that the mixture costs Rs.14.2 per kg?
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A. 3:01

B. 4:03

C. 3:04

D. 4:1
3428. A journey of 750 km was covered partly by car(x km) and partly by train(y km). If the distance travelled by train was 150 km more than the distance travelled by car, find x:y.
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A. 3:02

B. 3:04

C. 2:3

D. 4:03

3429. In what ratio should the profit be divided if M, N, O invests capital in ratio 2:3:5 and their timing of their investments are in the ratio 4:5:6.
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A. 4:05:06

B. 8:15:30

C. 5:18:28

D. 2:03:05

3430. M:N = 3:4, N:O = 5:7 and O:P = 7:9. Then M:P =________?
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A. 5/12

B. 3-Jan

C. 9-Jul

D. None of these

3431. According to a recipe, 400 grams of flour should be mixed with 500 grams of sugar to bake cookies. If I have only 300 grams of flour, how much sugar should I mix to maintain the same proportion?
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A. 400

B. 375

C. 380

D. 360

3432. The perimeter of a triangle is 81 cm. If the sides are in the ratio 4:3:2, find the length of the largest side.
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A. 36 cm

B. 27 cm

C. 40 cm

D. 45 cm

3433. If a flat costs Rs.4500 per sq. ft, and a commercial space costs Rs.9500 per sq. ft, then what is the ratio of their areas if the total cost of both are the same?
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A. 15:28

B. 9:19

C. 19:9

D. 28:15:00

3434. The length and breadth of a rectangle are in the ratio 5:4. Find its perimeter if its area is 180 cm
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A. 12 cm

B. 54 cm

C. 15 cm

D. 27 cm

3435. In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?
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A. 100

B. 150

C. 200

D. 50

3436. A bag contains 1 rupee, 2 rupee and 5 rupee coins amounting to Rs.264. If the ratio of the number of these coins is 3:5:4, find the number of 1 rupee coins.
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A. 24

B. 8

C. 66

D. 48

3437. If X:Y = 2:3, Y:Z = 4:5. Find X:Y:Z.
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A. 2:03:05

B. 2:07:05

C. 8:12:15

D. 2:08:05

3438. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is :________?
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A. 33

B. 49

C. 27

D. 55

3439. Find the fourth proportion to 3, 7 and 9.
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A. 63

B. 21

C. 27

D. 31

3440. A bag contains 50 paise, 1 rupee and 2 rupee coins in the ratio 2:5:8. If the total amount is Rs. 352, find the total number of coins in the bag.
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A. 160

B. 200

C. 240

D. 250

3441. In what ratio should the profit of Rs.8000 be divided if X starts a business with an investment of Rs. 20000, Y invests Rs.7500 for 4 months and Z invests Rs.15000 after 3 months from the start of the business.
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A. 16:02:03

B. 16 : 2 : 9

C. 6:09:01

D. 8:03:06

3442. In a partnership for a business, Changaz invests Rs.6000 for complete year & Nasir invests Rs.3000 for 6 months. What is Nasirs share if they earn Rs.240 as profit?
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A. 120

B. 48

C. 80

D. 192

3443. Two numbers are in the ratio 5:4 and their difference is 10.What is the largest number?
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A. 40

B. 60

C. 30

D. 50
3444. A class has 90 students. If the ratio of boys and girls is 7:8, find the number of boys in the class.
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A. 48

B. 60

C. 70

D. 42
3445. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number ?
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A. 5 : 3

B. 2:05

C. 3:07

D. 7:03

3446. The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is :__________?
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A. 30

B. 48

C. 58

D. 20

3447. Seats for Mathematics, Physics and Biology in a school are in the ratio 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 ?
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A. 6:07:08

B. None of these

C. 2 : 3 : 4

D. 6:08:09

3448. The ratio of two numbers a and b is 3:5. If 2 is added to both the numbers, the ratio becomes 2:3. Find b.
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A. 15

B. 8

C. 10

D. 5

3449. The ratio of the number of boys and girls in a college is 7 : 8. If the percentage iikcrease in the number of boys and girls be 20% and 10% respectively, what will be the new ratio ?
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A. Cannot be determined

B. 8:09

C. 21 : 22

D. 17:18

3450. If x% of 200=y% of 250, find y:x.
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A. 4:5

B. 5:02

C. 2:05

D. 5:04