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Directions: Study the following questions carefully and choose the right answer
1
A and B entered into a partnership investing Rs. 16,000 and Rs. 12,000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more. After 3 more months, C joins the business with a capital of Rs. 21,000. The share of B exceeds that of C, out of a total profit Rs. 26,400 after one year by :
» Explain it
C


Hence, option C is correct.

2
At the beginning of a partnership business, the capital of B was 3/2 times that of A. after 8 months B withdrew 1/2 of his capital and after 10 months A withdrew 1/4th of his capital. At the end of the year. if the profit incurred is Rs. 53,000. Find the amount received by A.
» Explain it
D
Initially, A's capital = Rs. x

B's capital = Rs. 3x  
2

Ratio of the equivalent capitals of A and B for 1 month

=   ( x × 10 +  3x  × 2 )  :  ( 3x  × 8 +  3x  × 4 )
4 2 4

=   ( 10x +  3x  × 2 )  : (12x + 3x)
4

= 23 : 30
 
A's share =  23  × 53000 = ₹ 23000.
53

Hence, option D is correct.

3
In a business A and C invested amounts in the ratio 2 : 1 whereas A and B invested amounts in the ratio 3 : 2. If their annual profit be Rs. 157300, then B’s share in the profit is
» Explain it
D
Annual profit = 157300

A : B = 3 : 2 ⇔ 6 : 4

A : C = 2 : 1 ⇔ 6 : 3

A : B : C = 6 : 4 : 3

B's share =  4  × 157300  =  4 × 12100 = 48400/-
13

Hence, option D is correct.

4
P, Q and R invested Rs. 45k, Rs. 70k and 90k respectively to start a business. At the end of two years, they earned a profit of Rs. 164k. What will be the Q’s share in the profit?
» Explain it
A
Ratio of amount invested by P, Q, R

= 45k : 70k : 90k

= 9 : 14 : 18

Total profit = ₹ 164K

Q's share =  14  × 164k = 14 × 4k = ₹56k.
41

Hence, option A is correct.

5
A, B and C are partners of a company. During a particular year A received one-third of the profit, B received one-fourth of the profit and C received the remaining Rs. 5,000. How much did A receive ?
» Explain it
B
Profit earned by C = 1 –  ( 1  +  1 )  = 1 –  7  =  5
3 4 12 12

So,

5  = 5,000
12

∴    1  →   12,000

∴    Profit received by A =  1  × 12,000 = Rs. 4,000
3

Hence, option B is correct.