Aptitude - Partnership
1.
A, B and C invested Rs. 26000, Rs. 34000 and Rs. 10000 respectively in a business. At the end of the year, they earn a profit of Rs. 3500. B's share of profit is :
Answer
A : B : C = 26000 : 34000 : 10000 = 13 : 17 : 5
B's share = Rs. 35000 x 17 35 = Rs. 1700
Answer :
Option CExplanation :
A : B : C = 26000 : 34000 : 10000 = 13 : 17 : 5
B's share = Rs. 35000 x 17 35 = Rs. 1700
2.
A and B invest in a business in the ratio of 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 8550, then total profit is :
Answer
Let the total profit be Rs. x.
Paid to charity = 5% of Rs. x = Rs. 5 100 x x = Rs. x 20
Balance = Rs. x − x 20 = Rs. 19x 20
A's share = Rs. 19x 20 x 3 5 = Rs. 0.57x
⇒ 0.57x = 8550 ⇒ x = 15000
Hence, total profit = Rs. 15000
Answer :
Option CExplanation :
Let the total profit be Rs. x.
Paid to charity = 5% of Rs. x = Rs. 5 100 x x = Rs. x 20
Balance = Rs. x − x 20 = Rs. 19x 20
A's share = Rs. 19x 20 x 3 5 = Rs. 0.57x
⇒ 0.57x = 8550 ⇒ x = 15000
Hence, total profit = Rs. 15000
3.
A, B and C rented a video cassette at a rent of Rs. 350. If they use it for 6 hrs, 10 hrs and 12 hrs respectively, the rent to be paid by C, is :
Answer
Ratio of rents = 6 : 10 : 12 = 3 : 5 : 6
Money paid by C = Rs. 350 x 6 14 = Rs. 150
Answer :
Option DExplanation :
Ratio of rents = 6 : 10 : 12 = 3 : 5 : 6
Money paid by C = Rs. 350 x 6 14 = Rs. 150
4.
A began a business with Rs. 4500 and was joined afterwards by B with Rs. 5400. If the profits at the end of the year were divided in the ratio 2 : 1, B joined the business after :
Answer
Suppose B remained in the business for x months. Then,
A : B = (4500 x 12) : (5400 x x) = (54000 : 5400x) = (10 : x)
∴ 10x = 21 ⇒ 2x = 10 ⇒ x = 5
Thus, B remaine din the business for 5 months.
So, B joined the business after 7 months.
Answer :
Option DExplanation :
Suppose B remained in the business for x months. Then,
A : B = (4500 x 12) : (5400 x x) = (54000 : 5400x) = (10 : x)
∴ 10x = 21 ⇒ 2x = 10 ⇒ x = 5
Thus, B remaine din the business for 5 months.
So, B joined the business after 7 months.
5.
A, B and C start a business, each investing Rs. 20000. After 5 months A withdrew Rs. 5000, B Rs. 4000 and C invested Rs. 6000 more. At the end of year, a total profit of Rs. 69900 was recorded. What is the share of B ?
Answer
A : B : C = (20000 x 5 + 15000 x 7) : (20000 x 5 + 16000 x 7) : (20000 x 5 + 26000 x 7)
A : B : C = 205000 : 212000 : 262000 = 205 : 212 : 282
B's share = Rs. 69900 x 212 699 = Rs. 21200
Answer :
Option BExplanation :
A : B : C = (20000 x 5 + 15000 x 7) : (20000 x 5 + 16000 x 7) : (20000 x 5 + 26000 x 7)
A : B : C = 205000 : 212000 : 262000 = 205 : 212 : 282
B's share = Rs. 69900 x 212 699 = Rs. 21200
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