**PartnerShip MCQ**
1. Ram, Sham & Ghansham contribute Rs 40,000 Rs 50,000 Rs 60,000 towards a business. The ratio of their efforts is 3:7:5 respectively. If profits at the end of the year is Rs 77,000, what are the shares of Ram, Sham & Ghansham??

Investment Ratio is = 4:5:6 & efforts Ratio is = 3:7:5 so profit must be shared = 4*3:5*7:6*5 = 12:35:30 Ram = 77,000*12/77 = 12,000 Sham = 77,000*35/77 = 35,000 Ghansham = 77,000*30/77 = 30,000.

1. Amit and Sehwag invested Rs 90,000 & Rs 60,000 respectively in a business. Amit was the sleeping partner while Sehwag managed the business. Sehwag got 25% of the profits for being the working partner. The profit for the year was Rs 60,000. How much does Amit receive as profit? What is his return on investment?

Profit to be shared = 60,000 * 3/4 = Rs 45,000(as Rs 15,000 is given to Sehwag for managingthe show). Ratio of profit to be shared = 90,000 : 60,000 = 9:6 Amit = 9/15 * 45,000 = 27,000 Return on investment = 27,000/90,000*100 = 30%

Q3. A started a business with Rs 80,000 and is joined afterwards by B with Rs 120,000. After how many months did B Join if profit are shared equally ?

If profits are shared equally, effective investments for the month are same. 80,0000*12 = 120,000 * X , X is the number of months B invested X = 8 B Joined after 12 - 8 = 4 months

Q4. Three partner ABC invest Rs 1600, Rs 1800 & Rs 2300 respectively in a business. How should they divide a profit of Rs 1938 ?

The profit divided in the ratio of the capitals 16:18:23 A Share is 1938*16/57 = 544 B share is 1938*18/57 = 612 c Share is 1938*23/57 = 782

Q5. ABC enter into partnership. A advances Rs 1200 for 4 months, B Rs 1400 for 8 months and C Rs 1000 for 10 months. They gain Rs 585 altogether. Find the share of each.

A share is 585*12/65 = 108, B share is 585*28/65 = 252, C share is 585*25/65 = 225

Q6. ABC invested capitals in the ratio 5:6:8. At the end of the business term, they received the profits in the ratio 5:3:12. Find the ratio of time for which they contributed their capitals ?

If investment ratio A:B:C and profit ratio P:Q:R the ratio of time = P/A: Q/B:R/C required ratio is 5/5:3/6:12/8 => 2:1:3

Q7. A B & C invested capitals in the ratio 2:3:5, the timing of their investments being in the ratio 4:5:6. in what ratio would their profit be distributed. ?

We should know that if the there investments be in the ratio A:B:C and the duration for their investments be in the ratio X:Y:Z, then the profit would be distributed in the ratio AX:BY:CZ. Thus following the same rule the required ratio = 2*4:3*5:5*6 => 8:15:30

Q8. A began a business with Rs 450 and was joined afterwards by B with Rs 300. When did B join if the profits at the end of the year were divided in the ratio 2:1 .

Suppose B joined the business for X months. Then we have 450*12/300*X=1/2, =>300*2X-450*12, => X+450*12/2*300= 9 months, => Therefore, B joined after 12-9 = 3 months