Question

Three partners a, b and c area invest rs.1600, rs.1800, and rs. 2300 respectively in a business. How should they divide the profit rs. 1938 ?



a.Rs. 544, rs. 612, rs. 782



b.Rs. 540, rs. 616, rs. 782



c.Rs. 544, rs. 610, rs. 784



d.Rs. 540, rs. 610, rs. 788

Answer 1

option : a

We can solve it step-wise:

Take the three numbers in a ratio: 1600 : 1800 : 2300

Reduce it to lowest terms: 16 : 18 : 23

Add the three: 16+18+23 = 57

Now do it like this: One No of Ratio / Sum of Ratios * Profit

16/57 * 1938 which will come out to be Rs. 544

18/57 * 1938 which will come out to be Rs. 612

23/57 * 1938 which will come out to be Rs. 782

Check: On adding the three products: 544+612+782 which will come out to be Rs. 1938!

Answer 2

According to the question

The ratio of  A, B and C,

$A : B : C = 1600 : 1800 : 2300$

$16 : 18 : 23 = 16x : 18x : 23x$

Now, $16x + 18x + 23x = 57x$

A’s share = $\frac{16x}{57x}$ × 1938

A = Rs. 544

B's share = $\frac{18x}{57x}$ × 1938

B = Rs. 612

C's share = $\frac{23x}{57x}$ × 1938

C = Rs. 782

Answer:- a. Rs. 544, rs. 612, rs. 782

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