Question

A and B enter into a partnership with Rs.50000 and Rs. 60000 respectively. C joins them after x months,
contributing Rs.70000 and B leaves 'x months before the end of the year. If they share the profit in the ratio of
20:18:21, then find the value of 'x'.
A)5
B)6
C)4
D)3​

Answer 1

Answer:

c)4

is the ans for given question

Answer 2

The correct option is D)3​

Step-by-step explanation:

Given,

The investment of A = 50000,

Investment of B = 60000,

Investment of C = 70000,

Time for A = 12 months,

For B = (12-x) months

For C = (12-x) months

Since, Profit is jointly proportional to investment and time,

Thus, the ratio of their profits = 50000 × 12 : 60000 × (12-x) : 70000 × (12-x)

According to the question,

50000 × 12 : 60000 × (12-x) : 70000 × (12-x) = 20:18:21

$\implies \frac{50,000\times 12}{60000\times (12-x)}=\frac{20}{18}$

$\frac{10}{12-x}=\frac{10}{9}$

$90 = 120 - 10x$

$10x = 120-90$

$10x = 30$

$\implies x =\frac{30}{10}=3$

Hence, the value of x would be 3.

#Learn more:

A and b enter into a partnership for a year. A contributes rs.1500 and b contributes rs.2000.After 4 months they admit c who contributes rs.2250 if b with draws his contribution after 9 months how would they share a profit of rs.900 at the end of the year

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