Question

divide ₹1380 among three persons A,B and C in such a way that the amount received by A is five times greater than C's share and 3 times as much as B's share.

Answer 1

let A's share be x rs

so share of B = x/3

and share of C = x/5

now this sum is 1380

so , x + x/3 + x/5 = 1380

15x/15 + 5x/15 + 3x/15 = 1380

23x /15 = 1380

x = 1380 × 15 / 23

x = 60 × 15

x = 900

so share of A = 900 rs

share of B = 900 /3 = 300 rs

share of C = 900/5 = 180 rs

Answer 2

Total amount = Rs 1380
Let the A's amount be = Rs X
B's amount = X / 3
C's amount = X / 5
Therefore, X + X / 3 + X / 5 = 1380
15X + 5X + 3X = 1380 x 15
23X = 1380 x 15
X = 60 x 15
X = 900
Therefore, A's amount = Rs 900
B's amount = Rs 300
C's amount = Rs 180