Question

A,Band C enter into a partenership .A invest Rs800 for 4 month .B invest Rs.1200 for 8 months and C invest Rs.1400 for 10 month. they gain Rs 1340 together. Find the value of share of A

Answer 1

A invested rs.800 for 4 month.
So A's total investment = 800×4= rs.3200

B invested Rs.1200 for 8 month.
So B's total investment=1200×8=Rs.9600

And C's total investment = 1400×10 = Rs.14000.
So ratio of investment of A, B and C =
3200:9600:14000 = 8:24:35
Sum of ratio = 67

Given, their total gain= Rs.1340

So, A's share = 8÷67 ×1340 = Rs.160

(8÷67 will be written in fraction. So, 1340 will be divided by 67 as 67 is denominator so 1340÷67=20 then 20 will be multiplied by 8 as 8 is numerator, so the final ans. = 8×20 = Rs.160)

Answer 2

The value of the share of A will be ₹160.

Given,

A, B, and C entering a partnership. Investments are:

A = ₹800 for 4 months,

B = ₹1200 for 8 months,

C = ₹1400 for 10 months.

Total gain = ₹1340.

To find,

The value of the share of A.

Solution,

It can be seen here, that three persons are given to be entering into a partnership, with their investments as follows.

A invests ₹800 for 4 months,

B invests ₹1200 for 8 months,

C invests ₹1400 for 10 months.

Firstly, we need to determine the total investments of all of them. So,

A's total investment = ₹800 × 4 = ₹3200,

B's total investment = ₹1200 × 8 = ₹9600, and

C's total investment = ₹1400 × 10 = ₹14000.

Now, we have to find the ratio of amounts in which all three have invested. Thus, the ratio of their investments will be

A: B: C = 3200: 9600: 14000

Simplifying,

A: B: C = 8: 24: 35

As we know that the share of profit for a person in a partnership is in proportion to the amount invested by the person.

Here, the total gain is given to be ₹1340.

So A's share will be

$=\frac{8}{8+24+35} \times 1340$

$=\frac{8}{67} \times 1340$

$=8 \times 20$

= ₹160.

⇒ A's share = ₹160.

Therefore, the value of the share of A will be ₹160.

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