Question

rs 520 is divide in parts the ratio 1/2:1/3:1/4 what is the value of the first part​

Answer 1

The value of first part is Rs.240

Explanation:

Given:

1. Rs 520 is divide in parts the ratio 1/2 : 1/3 : 1/4

To find:

what is the value of the first part​

let,

a, b, c are the unknown parts

a = 1/2x

b = 1/3x

c = 1/4x

Sum of the parts = Rs.520

1/2x + 1/3 x + 1/4 x = Rs.520

==> The Denominator is different

==> Taking LCM

==> LCM of  2,3,4 is 12

==> The equation will be,

==> 1(6)/2(6)x + 1(4)/3(4)x +1(3)/4(3)x

==> 6/12x + 4/12 x + 3/12x = Rs.520

==> 13/12 x = Rs. 520

==> x = 520 × 12/13

==> x =40× 12

==> x = 480

Substitute x value in

a = 1/2(480)

b = 1/3(480)

c = 1/4(480)

a = Rs.240

b = Rs.160

c = Rs. 120

The value of first part is Rs.240