divide ₹760 among A, B, C such that A gets 5/6 of what B gets and the ratio between the shares of B and C is 3:4. HINT : Let B's share be ₹3x and C's share be ₹4x.
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Answer:
The amount received by A = Rs. 200
The amount received by B = Rs. 240
The amount received by C = Rs. 320
Step-by-step explanation:
We know that the ratio between the shares of B and C is 3:4.
Let the multiplying factor be x
=> B will get 3x and C will get 4x
Since it is given that A gets 5/6 of what B gets
=> A = 5/6 * 3x = 5x/2
Given that the total sum is Rs. 760.
=> A's share + B's share + C's share = 760
=> 3x + 4x + 5x/2 = 760
=> 7x + 5x/2 = 760
=> 14x + 5x = 1520
=> 19x = 1520
=> x = 80
Therefore, amount received by B = 3x = 3*80 = Rs.240
and the amount received by C = 4x = 4*80 = Rs. 320
and the amount received by A = 5x/2 = 5*80/2 = Rs. 200
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