Question

Rs.750 are divided among A, B and C in such a manner that A:B is 5:2 and B:C is 7:13. What is A’s share?

Answer 1

a : b= 5:2
b:c =7: 13
b should be same in both
so a:b = 35 : 14
b:c==14:26
so a:b:c =35:14:26
so 35+14+26 =75
so 35/75 ×750 =350 share of a

Answer 2

Answer:  A's share is Rs. 350.

Step-by-step explanation:  Given that Rs. 750 is divided among A, B and C in such a manner that  A : B is 5 : 2 and B : C is 7 : 13.

We are to find A's share.

We have

$A:B=5:2\\\\\Rightarrow \dfrac{A}{B}=\dfrac{5}{2}=\dfrac{5\times7}{2\times7}=\dfrac{35}{14},\\\\\\B:C=7:13\\\\\\\Rightarrow \dfrac{B}{C}=\dfrac{7}{13}=\dfrac{7\times2}{13\times2}=\dfrac{14}{26}.$

So, we get

$A:B:C=35:14:26.$

Let the shares of A, B and C be 35x, 14x and 26x respectively.

Then, we have

$35x+14x+26x=750\\\\\Rightarrow 75x=750\\\\\Rightarrow x=\dfrac{750}{75}\\\\\Rightarrow x=10.$

Therefore, A's share is given by

$=35\times10=350.$

Thus, A's share is Rs. 350.