Question

rupees 5100 is divided among three workers Sita Shanti and Rani in such a way that two times of Sita's share three times of Shanti's share and 1/2 of rani's share is equal find the share of each

Answer 1

Rupees 5100 is divided among three workers Sita, Shanti and Rani then the share of each is Rs. 900, Rs. 600 & Rs. 3600 respectively.

Step-by-step explanation:

It is given that

Rs. 5100 is divided among Sita, Shanti & Rani such that,

 2 times of Sita’s share = 3 times of Shanti’s share = ½ of Rani’s share

So, let [2 * Sita’s share] = [3 * Shanti’s share] = [½ * Rani’s share] = k …… [k = any constant]  

⇒ Sita’s share = k/2, Shanti’s share = k/3 and Rani’s share = 2k

∴ The ratio of shares among Sita, Shanti & Rani is,

= ½ : 1/3 : 2

Multiplying by l.c.m = 6 throughout  each ratio

= 3 : 2 : 12

Thus,  

The share of each of them will be as follows:

Sita’s share = $\frac{3}{3+2+12} * 5100 = \frac{3}{17} * 5100$ = Rs. 900

Shanti’s share = $\frac{2}{3+2+12} * 5100 = \frac{2}{17} * 5100$ = Rs. 600

And

Rani’s share = $\frac{12}{3+2+12} * 5100 = \frac{12}{17} * 5100$ = Rs. 3600

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