Question

Divide Rs.4000 among A,B,C, so that their shares may be in the ratio of 5:7:8​

Answer 1

Answer:

A's share = ₹1000

B's share = ₹1400

C's share = ₹1600

Step-by-step explanation:

Given :

Total money = ₹4,000

Divide money in the ratio of A,B,C = 5:7:8

To find :

The share between A , B and C

Taken :

Let the A , B , C share be x

So , to find the share between A,B,C use this formula -:

$\boxed{\sf{5x+7x+8x=Rs.4000}}$

After finding the value of x multiply with the ratio to find the A , B and C 's share .

Solution :

$:\implies\sf{5x+7x+8x=Rs.4000}$

$:\implies\sf{20x=Rs.4000}$

$:\implies\sf{x=\cancel{\dfrac{Rs.4000}{20}}}$

$:\implies\sf{x=Rs.200}$

A's share -:

$:\implies\sf{Rs.200\times5}$

$:\implies\sf{Rs.1000}$

B's share -:

$:\implies\sf{Rs.200\times7}$

$:\implies\sf{Rs.1400}$

C's share -:

$:\implies\sf{Rs.200\times8}$

$:\implies\sf{Rs.1600}$

Answer 2

Answer:

solution here;

total amount = Rs 4000

given ratio of A, B, C = 5:7:8

Let the common multiple be x

therefore the ratio of A, B, C will be 5x, 7x and 8x respectively.

then, 5x + 7x +8x = 4000

or, 20 x = 4000

or, x = 4000÷20

therefore, x = 200

putting x = 200 in the given ratio

A = 5x = 5×200= Rs 1000

B = 7x = 7×200= Rs 1400

C = 8x = 8× 200 = Rs 1600

so, there shares is Rs ( 1000, 1400 and 1600 ) respectively