Question

an amount of rs. 6764 is to be distributed among four friends P, Q, R, and S in the ratio 8:6:3:2. Calculate how much amount will P and R get in total?​

Answer 1

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Given:

Amount of Rs 6764 is distributed among P, Q, R and S in ratio of 8:6:3:2

To find:

Total amount P and R get = ?

Solution:

Let amount owned by

P = 8x

Q = 6x

R = 3x

S = 2x

On adding,

P + Q + R + S = 6764

8x + 6x + 3x + 2x = 6764

19x = 6764

$\\ \\ x = \dfrac{6764}{19} \\ \\ x = 356$

Substituting value of x,

P = 8x = 8 × 356 = Rs 2848

Q = 6x = 6 × 356 = Rs 2136

R = 3x = 3 × 356 = Rs 1068

S = 2x = 2 × 356 = Rs 712

Total amount P and R get = Amount of P + Amount of R

= 2848 + 1068

= 3916

Answer:

Thus, Total amount P and R get in 3916

Verification:

The total amount we calculated should be equal to 6764

2848 + 2136 + 1068 + 712 = 6764

6764 = 6764

LHS = RHS

Basic point:

• Try to solve more such questions to get good hold on it

Answer 2

Answer :-

We are given the total amount and the ratio of amount distributed among P , Q , R and S.

So, Let P = 8x , Q = 6x , R = 3x and S = 2x

Sum of these amounts = 6764

→ $\sf 8x + 6x + 3x + 2x = 6764$

→ $\sf 19x = 6764$

→ $\sf x = \dfrac{6764}{19}$

→ $\sf x = 356$

• Amount of P = 8x = 2848
• Amount of Q = 6x = 2136
• Amount of R = 3x = 1068
• Amount of S = 2x = 712

Amount of P + Amount of R = 2848 + 2136

= 3916

Amount of P + Amount of R = 3916