Divide ₹1380 among A,B and C so that the amount A recieves is 5 times as much as C's share and is 3 times as much as B's share.
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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
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
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