Partnership - Aptitude MCQ Questions - 06

Question 1

An observer 2 m tall is $10 \sqrt 3$ m away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The height of the tower is:

	A. 14 m
	B. 12 m
	C. 10 m
	D. None of these

Question 2

Two partners invest Rs. 125000 and Rs. 85000 respectively in a business and agree that 60% of the profit should be divided equally between them and the remaining profit is to be divided into ratio of their capitals. If one partner gets Rs. 300 more than the other. Find the total profit made in the business ?

	A. Rs. 3739.50
	B. Rs. 3937.50
	C. Rs. 3749.50
	D. Rs. 3947.50

Question 3

Two brother invested Rs. 50000 and Rs. 70000 respectively in a business and agreed that 70% of the profits should be divided equally between them and the remaining profit in the ratio of investment. If one brothers gets Rs. 90 more than the other. Find the total profit made in the business ?

	A. Rs. 1200
	B. Rs. 1400
	C. Rs. 1600
	D. Rs. 1800

Question 4

A and B started a business investing amount of Rs. 185000 and Rs. 225000 respectively. If B's share in the profit earned by them is Rs. 9000 then what is the total profit earned by them together ?

	A. Rs. 17400
	B. Rs. 16400
	C. Rs. 16800
	D. Rs. 17800

Question 5

From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 200 m high, the distance of point P from the foot of the tower is:

	A. 346 m
	B. 400 m
	C. 312 m
	D. 298 m

Question 6

A, B and C enter into a partnership. They invest Rs. 40000, Rs. 80000 and Rs. 120000 respectively. At the end of the first year, B withdraws Rs. 40000, while at the end of the second year, C withdraws Rs. 80000. In what ratio will the profit be shared at the end of 3 years ?

	A. 2 : 3 : 5
	B. 3 : 4 : 7
	C. 4 : 5 :9
	D. None of these

Question 7

The angle of elevation of the top of the tower from a point on the ground is $sin-1(3/5).$ If the point of observation is 20 meters away from the foot of the tower, what is the height of the tower?

	A. 9 m
	B. 18 m
	C. 15 m
	D. 12 m

Question 8

A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 45º. What is the distance between the base of the tower and the point P?

	A. 9 units
	B. 3√3 units
	C. Data inadequate
	D. 12 units

Question 9

The angles of depression and elevation of the top of a wall 11 m high from top and bottom of a tree are 60° and 30° respectively. What is the height of the tree?

	A. 22 m
	B. 44 m
	C. 33 m
	D. None of these

Question 10

A, B and C enter into a partnership. A invests some money at the beginning, B invests double the amount after six months and C invest thrice the amount after eight months. If the annual profit be Rs. 27000; C's share (in Rs.) is ?

	A. Rs. 8625
	B. Rs. 9000
	C. Rs. 10800
	D. Rs. 11250

Question 11

X and Y enter into a partnership with capitals in the ratio 5 : 6 and at the end of 8 months, X withdraws. If they receive profit in the ratio of 5 : 9. Find how long Y's capital was used.

	A. 8 months
	B. 9 months
	C. 11 months
	D. 12 months

Question 12

To a man standing outside his house, the angles of elevation of the top and bottom of a window are 60° and 45° respectively. If the height of the man is 180 cm and he is 5 m away from the wall, what is the length of the window?

	A. 8.65 m
	B. 2 m
	C. 2.5 m
	D. 3.65 m

Question 13

When the sun's altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70m. What is the height of the tower?

	A. 35 m
	B. 140 m
	C. 60.6 m
	D. 20.2 m

Question 14

A vertical tower stands on ground and is surmounted by a vertical flagpole of height 18 m. At a point on the ground, the angle of elevation of the bottom and the top of the flagpole are 30° and 60° respectively. What is the height of the tower?

	A. 9 m
	B. 10.40 m
	C. 15.57 m
	D. 12 m

Question 15

A and B stared a boutique investing amounts of Rs. 35000 and Rs. 56000 respectively. If A's share in the profit earned by them need is Rs. 45000, then what is the total profit earned ?

	A. Rs. 81000
	B. Rs. 127000
	C. Rs. 72000
	D. Rs. 117000

Question 16

A, B and C invested Rs. 47000 for a business. If A subscribes Rs. 7000 more than B and B Rs. 5000 more than C, then out of total profit of Rs. 4700, C receives ?

	A. Rs. 1200
	B. Rs. 4500
	C. Rs. 1000
	D. None of these

Question 17

A ladder 10 m long just reaches the top of a wall and makes an angle of 60° with the wall.Find the distance of the foot of the ladder from the wal (√3 =1.73)

	A. 4.32 m
	B. 17.3 m
	C. 5 m
	D. 8.65 m

Question 18

P and Q started a business in the ratio of 2 : 3. After 1 year P left the business but Q continues. After 2 years he had profit of Rs. 26000. What is the profit of Q?

	A. Rs. 10400
	B. Rs. 13000
	C. Rs. 15600
	D. Rs. 18500
	E. None of these

Question 19

A person, standing exactly midway between two towers, observes the top of the two towers at angle of elevation of 22.5° and 67.5°. What is the ratio of the height of the taller tower to the height of the shorter tower? (Given that tan 22.5° = √2 $-1$ )

	A. 1−2√2 :1
	B. 1+2√2 :1
	C. 3+2√2 :1
	D. 3−2√2 :1

Question 20

Sonia started a business investing Rs. 60000. After 6 months Vivek joined him with an amount of Rs. 140000. After 1 year Kirti also joined them with Rs. 120000. After 2 years the business yielded a total profit of Rs. 450000. What is the share of Vivek in the profit ?

	A. Rs. 140000
	B. Rs. 198500
	C. Rs. 210000
	D. Rs. 215000

Partnership – Aptitude MCQ Questions – 06

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