Divide ₹ 4340 between A, B and C so that A‘s share : B’s share : C’ share $= \frac{1}{2} ∶ \frac{1}{3} ∶ \frac{1}{5}$

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Solution

A,B and C so that A‘s share : B’s share : C’ share $= \frac{1}{2} ∶ \frac{1}{3} ∶ \frac{1}{5}$
Lcm of 2, 3, 5 is 30

$= \frac{1}{2} ∶ \frac{1}{3} ∶ \frac{1}{5} = \frac{1}{2} \times 30 ∶ \frac{1}{3} \times 30 ∶ \frac{1}{5} \times 30 = 15 ∶ 10 ∶ 6$

$A^{'} s s h a r e = \frac{15}{(15 + 10 + 6)} \times 4340 = ₹ 2100$

$B^{'} s s h a r e = \frac{10}{(15 + 10 + 6)} \times 4340 = ₹ 1400$

$C^{'} s s h a r e = \frac{6}{(15 + 10 + 6)} \times 4340 = ₹ 840$

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Divide ₹ 4340 between A, B and C so that A‘s share : B’s share : C’ share =12∶13∶15

A,B and C so that A‘s share : B’s share : C’ share =12∶13∶15 Lcm of 2, 3, 5 is 30 =12∶13∶15=12×30∶13×30∶15×30=15∶10∶6 A′sshare=15(15+10+6)×4340=₹2100 B′sshare=10(15+10+6)×4340=₹1400 C′sshare=6(15+10+6)×4340=₹840

Divide ₹ 4340 between A, B and C so that A‘s share : B’s share : C’ share $= \frac{1}{2} ∶ \frac{1}{3} ∶ \frac{1}{5}$