An amount is divided among three persons P, Q, and R in the ratio of 4:7:9 respectively. If another person S receives an amount which is 1/5th of the combined amount of P, Q, and R, and the difference between the amount received by P and S together and the amount received by R and Q together is Rs. 1800, then find the average amount received by S and R (in Rs).
Let the amount received by P, Q, and R be 4x, 7x and 9x respectively.
And the amount received by S = (4x+7x+9x)/5=4x
ATQ,
(7x+9x)-(4x+4x)=1800
8x=1800
x=225
Required average amount = (4x+9x)/2 = 6.5x
=6.5×225 =Rs 1462.5
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