Question

divide Rs. 7056 between A and B in such a way that 1/4 of A's share exceeds 1/5 of B's share by 211.50​​

Answer 1

ANSWER;

A = 4056.75

B = 2999.25

STEP BY STEP EXPLANATION;

A + B = 7056

A = 7056 - B

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1/4 of A's share exceeds 1/5 of B's share by 211.50​

A/4 = B/5 + 211.50

5A = 4B + 4230 (Multiply by 20 both side)

4(7056 - B) = 4B + 4230

28224 - 4B = 4B + 4230

8B = 23994

B = 2999.25

A = 7056 - B = A = 7056 - 2999.25 = 4056.75

Answer 2

A + B = 7056

A = 7056 - B ----- (1)

Given that 1/4 of A's share exceeds 1/5 of B's share by 211.50

1/4 of A = 1/5 of B + 211.50

1/4×A - 1/5×B = 211.50

A/4 - B/5 = 211.50

Lcm of 4,5 = 20

A/4 × 5/5 = 5A/20

B/5 × 4/4 = 4B/20

5A/20 - 4B/20 = 211.50

5A - 4B = 211.50

20

5A - 4B = 211.50 × 20

5A - 4B = 4230 ------ (2)

substitute (1) in (2)

5(7056 - B) - 4B = 4230

5 × 7056 - 5B - 4B = 4230

35280 - 9B = 4230

9B = 35280 - 4230

B = 31050

9

B = Rs. 3450

A = 7056 - 3450

A = Rs. 3606