Business and Profit Sharing Quiz

A started a business with a capital of ` 50,000. After 3 months, B jointed him with a certain amount of capital. At the end of a year of A's starting the business, the profit was shared in the ratio 3 : 2. How much (in `) did B invest ?

• 3,60,000

• 3,20,000

• 4,00,000

• 4,20,000

Answer explanation

A's capital for 12 months = 50000 * 12 = 600000. B's capital for 9 months = x * 9. Profit ratio 3:2 means 600000:9x = 3:2. Solving gives x = 400000. Thus, B invested ` 4,00,000.

An amount of 48,000 is divided between two brothers Anil and Aditya in the ratio 11 : 13. What is the share of Aditya?

• `24,000

• `26,000

• `2,000

• `22,000

Answer explanation

The total parts in the ratio 11:13 are 24. Aditya's share is (13/24) * 48000 = 26000. Thus, Aditya's share is `26,000.

A and B have together `2,300. If 2/5 of A's amount is equal to 8/26 of B's amount, How much amount (in `) does B have?

• 1,300

• 1,150

• 1,200

• 1,000

Answer explanation

Let A's amount be x and B's amount be y. We have x + y = 2300 and (2/5)x = (8/26)y. Solving these equations gives y = 1300. Thus, B has `1,300.

A certain sum of money is divided among A, B and C. A gets one-third of the amount. B gets thrice as much as what C gets, and C gets `1200 less than what A gets find the share of A (in `)?

• 1,200

• 3,600

• 4,800

• 2,400

Answer explanation

Let A's share be x. Then, C's share is x - 1200, and B's share is 3(x - 1200). The total is x + (x - 1200) + 3(x - 1200) = 5x - 3600. Since A gets one-third, x = 2400. Thus, A's share is 2400.

`21,150 is distributed among A, B and C. The share of A is 4/5 of the share of B, and the share of B is 3/4 of the share of C. After receiving their respective sums, C gives some money out of her share to A so that after the transfer, the ratio of the sums A and C have 7:9. What part of her initial share did C transfer to A?

• 1/5

• 1/12

• 1/8

• 1/10

Answer explanation

Let A = 4x, B = 5x, C = 20/3x. Total = 21,150 gives x = 1500. A = 6000, B = 7500, C = 10000. After transfer, A = 6000 + k, C = 10000 - k. Ratio 7:9 leads to k = 1500, so C transfers 1500/10000 = 1/10.

A, B and C are partners in a business with a total capital of `33,000. The profit at the end of the year is `15,000 that is to be divided in proportion to their capitals. A receives `4,500 and B receives `5,500 as their shares in profit. Find C's capital (in `)?

• ` 11,000

• ` 13,000

• ` 12,000

• ` 14,000

Answer explanation

A + B + C = 33,000. A's share = 4,500, B's share = 5,500. Total profit = 15,000. A's capital ratio = 4,500/15,000, B's = 5,500/15,000. Let C's share = 15,000 - (4,500 + 5,500) = 5,000. C's capital = 11,000.

Two employees Anita and Sarita are paid a total amount of Rs. 6600 per month. If Anita is paid 120% of the amount given to Sarita, then what amount will Sarita get?

• `3000

• `30000

• `5000

• `4500

Answer explanation

Let Sarita's salary be x. Then, Anita's salary is 1.2x. The equation is x + 1.2x = 6600. Solving gives 2.2x = 6600, so x = 3000. Thus, Sarita gets Rs. 3000.

Shweta and Harish completed a project with an income of `28,000. In this project Shweta worked for 20 days and Harish worked for 30 days. If their daily wages are in the ratio of 5 : 6, then Shweta's share is:

• ` 12,000

• ` 16,000

• ` 10,000

• ` 18,000

Answer explanation

Shweta's daily wage is 5x and Harish's is 6x. Total work done is 20*5x + 30*6x = 100x + 180x = 280x. Shweta's share = (100x/280x) * 28000 = 10000. Thus, Shweta's share is `10,000.

A certain sum of money was divided among three friends : Rajeev, Kewal and Amit in the ratio of 2 : 3 : 7. If Amit’s share is ` 15 more than that of Kewal, then what is the sum of money which was divided?

• `45

• `57

• `27

• `180

Answer explanation

Let the shares be 2x, 3x, and 7x for Rajeev, Kewal, and Amit respectively. Given 7x = 3x + 15, we find 4x = 15, so x = 3. Total = 2x + 3x + 7x = 12x = 36. Thus, the total sum is 45.

If the share of Rajeev is 15 more than that of Kewal, then what is the sum of money which was divided?

• `45

• `57

• `27

• `180

Answer explanation

Let Kewal's share be x. Then Rajeev's share is x + 15. The total sum is x + (x + 15) = 2x + 15. Setting this equal to 45 gives 2x + 15 = 45, leading to x = 15. Thus, the total sum is 45.