# patnership

1.

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit is:
A.     Rs. 1425    B.     Rs. 1500
C.     Rs. 1537.50    D.     Rs. 1576

Explanation:

Let the total profit be Rs. 100.

After paying to charity, A’s share = Rs.         95 x     3         = Rs. 57.
5

If A’s share is Rs. 57, total profit = Rs. 100.

If A’s share Rs. 855, total profit =         100     x 855         = 1500.
57

2.

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.
A.     Rs. 1900    B.     Rs. 2660
C.     Rs. 2800    D.     Rs. 2840
3.

A, B and C enter into a partnership in the ratio : : . After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B’s share in the profit is:
A.     Rs. 2100    B.     Rs. 2400
C.     Rs. 3600    D.     Rs. 4000

Explanation:

Ratio of initial investments =         7     :     4     :     6         = 105 : 40 : 36.
2     3     5

Let the initial investments be 105x, 40x and 36x.

A : B : C =         105x x 4 +     150     x 105x x 8         : (40x x 12) : (36x x 12)
100

= 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B’s share = Rs.         21600 x     10         = Rs. 4000.
54

4.

A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
A.     Rs. 8400    B.     Rs. 11,900
C.     Rs. 13,600    D.     Rs. 14,700

Explanation:

Let C = x.

Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.

So, x + x + 5000 + x + 9000 = 50000

3x = 36000

x = 12000

A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.

A’s share = Rs.         35000 x     21         = Rs. 14,700.
50

5.

Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
A.     5 : 7 : 8    B.     20 : 49 : 64
C.     38 : 28 : 21    D.     None of these

Explanation:

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.

Then, 14x : 8y : 7z = 5 : 7 : 8.

Now,     14x     =     5           98x = 40y       y =     49     x
8y     7     20

And,     14x     =     5           112x = 35z       z =     112     x =     16     x.
7z     8     35     5

x : y : z = x :     49     x     :     16     x     = 20 : 49 : 64.
20     5