Question

Rs 2250 is divided among three friends Amar, Bijoy and Chandra in such a way that 1/6th of Amar's share, 1/4th of bijoy's share and 2/5th of the Chandra's share are equal. Fine Amar's share.

Rs 720
Rs 1080
Rs 450
Rs 1240

Answer 1

Answer :

The Share of Amar is 6X = 6 × 180 = Rs. 1080

Step by step explanation :

Hey Mate,

Given Data,

Rs 2250 is divided among three friends Amar, Bijoy and Chandra.

A = Amar ; B = Bijoy ; C = Chandra

(1/ 6) of A = (1/ 4) of B = (2/ 5) of C  ......... (Given)

(1/ 6) of A = (1/ 4) of B = (2/ 5) of C  = X

So,

A = 6X ; B = 4X ; C = (5/ 2)X

Now,

6X + 4X + (5/2)X = 2250

12X + 8X + 5X = 4500

25X = 4500

X = 180

So,

The Share of Amar is 6X = 6 × 180 = Rs. 1080

The Share of Bijoy is 4X = 4 × 180 = Rs. 720

The Share of Chandra is (5/ 2)X = (5/ 2) × 180 = Rs. 450

Answer 2

Answer:

$Amar \: share = Rs\:1080$

Step-by-step explanation:

Let Amar share = A,

Bijoy share = B,

Chandra share = C,

and

Let Rs 2250 is divided among three friends Amar, Bijoy and Chandra in such a way that 1/6th of Amar's share, 1/4th of bijoy's share and 2/5th of the Chandra's share are equal to x

$\frac{1}{6} \: of A = x\implies A = 6x --(1)$

$\frac{1}{4} \: of B = x\implies B = 4x --(2)$

$\frac{2}{5} \: of C = x\implies C = \frac{5x}{2} --(3)$

$Now,\\</p><p>A+B+C=Rs\:2250$

$\implies 6x+4x+\frac{5x}{2}=2250$

$\implies \frac{(12x+8x+5x)}{2}=2250$

$\implies \frac{25x}{2}=2250$

$\implies x = 2250 \times \frac{2}{25}\\=90\times 2\\=180$

Therefore,

$Amar \: share = A = 6x \\= 6 \times 180\\=Rs\: 1080$

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