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Download Partnership Questions PDF with Explanation for IBPS Clerk Mains 2021, SBI Clerk, CET, RRB Scale I Pre and SBI PO Pre 2021 at Smartkeeda

Direction : Read the following questions carefully and choose the right answer.
1
Dholak and Tabla entered in a partnership business in which Tabla invested Rs. 50,000. At the end of 4 months Tabla withdrew Rs. 7500 and at the end of another 5 months he again withdrew Rs. 9000. Dholak had left his investment intact, then what was his investment if at the end of one – year he received 40% of the total profit? 
» Explain it
C
Let the investment of Dholak = Rs. a then 
 
Ratio of profit sharing of Dholak to Tabla = 40 : 60 = 2 : 3
 
According to the question, 
 
a × 12: (50000 × 4 + 42500 × 5 + 33500 × 3) = 2: 3 
 
By solving, a = Rs. 28500 
 
Hence, option C is correct.
2
Amit and Aarnav invest Rs. 30,000 and Rs. 20,000 respectively for a business at the start of a year. In each of the next six months after the first month Amit keeps on adding Rs. 1000 while Aarnav keeps on removing Rs. 1000. In the remaining months Amit keeps on removing Rs. 1000 while Aarnav keeps on adding Rs. 1000 every month. Akhil joined them with Rs. 55,000 three months after the start and continued till the end of the year. What will be the difference in the shares of Akhil and Amit after a year if the total profit at the end of the year is Rs. 219000?
 
» Explain it
B
Amit’s investment: 1000 [30 + (31 + 32 + 33 + 34 + 35 + 36) + (35 + 34 + 33 + 32 + 31)]

= 1000 [30 + 36 + 2 (31 + 32 + 33 + 34 + 35)]

= 1000 [66 + 2 (165)]

= 1000 [396] = Rs. 396000

Aarnav’s investment: 1000 [20 + (19 + 18 + 17 + 16 + 15 + 14) + (15 + 16 + 17 + 18 + 19)]

= 1000 [20 + 14 + 2(15 + 16 + 17 + 18 + 19)]

= 1000 [34 + 2 (85)]

= 1000 [204] = Rs. 204000

Akhil’s investment : 55000 × 9 = Rs. 495000

Ratio of Profits: 396000 : 204000 : 495000 = 396 : 204 : 495

Difference in the shares of Akhil and Amit

(495 – 396) × 219000  =  99 × 219000  = Rs. 19800
396 + 204 + 495 1095

Hence, option B is correct.
3
Two friends A and B invest in a business in partnership. B borrows 20% of A’s salary, combines it with 60% of his salary and invests with A, who puts all of his remaining salary. One year later the ratio of profit of A and B is 5 : 3 respectively and B returns Rs. 21000 to A which he borrowed from him. What is the difference between salary of A and B?
» Explain it
B
Let salary of A = Rs. 10a and salary of B = Rs. 10b

Investment by B = Rs. (2a + 6b), investment by A = Rs. 8a

Ratio of investment = ratio of profit

8a  =  5
2a + 6b 3

a  =  15
b 7

B returns 21000 to A, so 2a = 21000

Investment of A = 8a = 84000

Salary of A = 10a = Rs.105000

Investment of B =  84000 × 3  = Rs. 50400 → 2a + 6b
5

=> 6b = 50400 – 21000 = 29400

Salary of B = 10b =  29400 × 10  = Rs.49000
6

Difference = Rs. (105000 – 49000) = Rs.56000

Hence, option B is correct.
4
Sudhir and Tushar invested Rs. x and Rs. 3x respectively in a business. The time periods of Sudhir and Tushar is in the ratio 2:3. If the profit share of Tushar is Rs. 270000, then find the total profit if they continue the business for 3 more years?
» Explain it
C
                       Sudhir                  Tushar
Capital              x                           3x     
 
Time period      2                            3 
 
Profit share     2x                            9x
 
Profit share of Tushar = Rs. 270000 
 
Given that, 9x = 270000
 
x = Rs. 30000
 
total profit = 2x + 9x = 11x
 
total profit = 330000
 
Total profit for 1 year = 330000
 
Time period = 1 + 3 = 4 years
 
Total period for 4 years = Rs. 1320000

Hence, option C is correct.
5
Rocky, Molly and Monty invest Rs. 20,000, 20,000 and 30,000 respectively for a business at the start of a year.  They continued with same investment till 6 months. In the remaining months Rocky keeps on removing Rs. 2000, Molly keeps on adding Rs. 1000 while Monty keeps on removing Rs. 3000 every month. If the total profit is Rs. 336000, then what is the share of Molly?
» Explain it
B
Rocky’s investment = 20000 x 6 + 1000 {18 + 16 + 14 + 12 + 10 + 8}

→ 120000 + 1000{78} = Rs. 198000

Molly’s investment = 20000 x 6 + 1000 {21 + 22 + 23 + 24 + 25 + 26}

→ 120000 + 1000{141} = Rs. 261000

Monty’s investment = 30000 × 6 + 1000 {27 + 24 + 21 + 18 + 15 + 12}

→180000 + 1000{117} = Rs. 297000

Ratio of their investments = 198000 : 261000 : 297000

→ 22 : 29 : 33

Given that total investment is Rs. 336000

Molly’s share =  29 × 336000
84

Molly’s share = Rs. 116000

Hence, option B is correct.