Question

divide ₹1500 among A, B and C such that B` share is five -sixth of A ` share and C share is fourth-fifth of B​

Answer 1

Answer:

A , B , C will get a share of 600/- , 500/- , 400/- out of the total sum of 1500 rupees.

Step-by-step explanation:

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So we're given,

total sum to be divided is TOT.= 1500/-

Let, Share of A = A, Share of B = B and similarly Share of C = C

also, from the question we have,

B = 5/6 of A = 5A/6

and C = 4/5 of B i.e., 4/5 of 5/6 of A

=4/5 * 5/6 * A

i.e., C = 4/6 of A = 4A/6

WKT, A + B + C = 1500/-(TOT)

i.e., A + 5A/6 + 4A/6 = 1500/-

⇒ 6A + 5A + 4A = 1500/- * 6

⇒15 * A = 1500 * 6

⇒ A / 6 = 1500 / 15

⇒ A / 6 = 100

⇒ A = 600/-

which means A will get a share of 600/- out of the 1500/- total sum.

WKT, B = 5A/6 , so,

⇒ B = 5 * 600 /6

⇒ B = 500/-

which means B will get a share of 500/- out of the 1500/- total sum

also, WKT, C = 4A/6

⇒ C = 4 * 600/6

⇒ C = 400/-

which means C will get a share of 400/- out of the 1500/- total sum

Finally, we conclude that A , B , C will get a share of 600/- , 500/- , 400/- out of the total sum of 1500 rupees.

CHECK : A + B + C = 600 + 500 + 400 = 1500 RUPEES TOTAL

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