Question

Q1. The ratio of Ram's money to Shyam's money is 3:8. If Ram gives 1/2
of his money to Shyam,
what will be the new ratio of Ram's money to Shyam's money?​

Answer 1

Answer:

3:19

Step-by-step explanation:

Let's assume the ratio of ram's money =3k

and shyam's money =8k

half of ram's share=3/2=1.5

new share of shyam=8+1.5=9.5

new ratio=1.5/9.5*10/10=15/95

=3/19

Answer 2

The new ratio of Ram's money to Shyam's money would be 3: 19.

Explanation:

Given : The ratio of Ram's money to Shyam's money is 3:8.

Let Ram's money be 3x and Shyam's money be 8x.

If Ram gives $\dfrac{1}{2}$ of his money to Shyam , then the total money Shyam have now = $8x+\dfrac{1}{2}(3x)=8x+\dfrac{3}{2}x=\dfrac{16+3}{2}x=\dfrac{19}{2}x$

Money Ram had left now = $3x-\dfrac{1}{2}(3x)=\dfrac{6x-3x}{2}=\dfrac{3x}{2}$

Now , the new ratio of Ram's money to Shyam's money would be $\dfrac{\dfrac{3x}{2}}{\dfrac{19x}{2}}$

$=\dfrac{3}{19}$  (Simplified)

Hence, the new ratio of Ram's money to Shyam's money would be 3: 19.

# Learn more :

Mother devided the money among ram shyam and meena in the ratio 2:3:5 if meena got rupees 150.find the total amount and the money received by ram and shyam

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