₹4800 were divided among P, Q and R, such that 6 times of P = 3 times of Q = 8 times of R. Find the share of R.

Correct option is B

Given:

Total amount = ₹4800

The relationship between the shares of P, Q, and R is given by:

6 × P = 3 × Q = 8 × R

Solution:

Let the common multiple be k. Then we can express the shares as:

P = $$\frac{k}{6}​$$​​

Q = $$\frac{k}{3}​$$​​

R = $$\frac{k}{8}​$$​​

The total sum of the shares is:

P + Q + R = 4800

$$\frac{k}{6} + \frac{k}{3} + \frac{k}{8}$$ = 4800

$$\frac{4k}{24} + \frac{8k}{24} + \frac{3k}{24}$$​ = 4800

$$\frac{15k}{24}$$​ = 4800

15k = 4800 × 24

k = $$\frac{115200}{15}$$​= 7680

Now, the share of R:

R = $$\frac{k}{8} = \frac{7680}{8}$$​ = 960

Thus, The share of R is ₹960.