Mathematics Mcqs

A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year’s profit of Rs.210 where as B does not. In what ratio should they divide the second year’s profit?

by
A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his of the first year’s profit of Rs.210 where as B does not. In what ratio should they divide the second year’s profit?

A. 39:40
B. 40:39
C. 3:4
D. 4:3
Explanation:
3: 4
A = 3/7*210 = 90
390: 400
39:40

A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A’s share is?

by
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A’s is?

A. Rs.7500
B. Rs.7200
C. Rs.6000
D. Rs.5750
Explanation:
x* 12 : 2x* 6: 3x* 4
1:1:1
1/3 * 18000 = 6000

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?

by
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?

A. Rs.2400
B. Rs.3600
C. Rs.2850
D. Rs.2000
Explanation:
First persons investment = x
Second persons investment = x + 1000
Third persons investments = x + 2000
x + x + 1000 + x + 2000 = 9000
3x = 6000
x = 2000
Ratio = 2000 : 3000 : 4000
2:3:4
4/9 * 54000 = 2400

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

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

A. Rs.2450
B. Rs.3600
C. Rs.2500
D. Rs.3100
Explanation:
A:B:C = 2/3:1/6:1/6 = 4:1:1
x * 2/100 * 2/3 = 200
B capital = 15000*1/6 = 2500

Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?

by
Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?

A. 1/3 rd
B. 2/5 th
C. 2/3 rd
D. 1/5 th
Explanation:
3h = 5c
6c = 10s
A = 21h*3 + 15c*2
= 63h + 30c
= 105c + 30c = 135c
B = 15c*6 + 40s*7 1/2
= 90c + 300s
= 90c + 180c = 270c
A:B = 135:270
27:52
A = 27/79 = 1/3

A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?

by
A began business with Rs.45000 and was joined afterwards by B with Rs.5400. When did B join if the profits at the end of the year were divided in the ratio of 2:1?

A. 4 months
B. 6 months
C. 7 months
D. 9 months
Explanation:
45*12 : 54*x = 2: 1
x = 5
12 -5 = 7

A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.

by
A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the of C in a total profit of Rs.7400.

A. 1750
B. 1900
C. 8600
D. 10300
Explanation:
65 * 6 : 84 * 5 : 100 * 3
26:28:20
C = 74000 * 95/100 = 7030 * 20/74 => 1900

A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.

by
A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.

A. Rs.4500
B. Rs.5200
C. Rs.1800
D. Rs.3000
Explanation:
A:B:C = 5:6:4
Let the total profit = 100 – 30 = 70
5/15 * 70 = 70/3
A = 70/3 + 30 = 160/3
B + C = 100 – 160/3 = 140/3
A-(B+C) = 160/3 – 140/3 = 20/3
20/3 —- 200
100 —- ? => 3000