Question

Section 2 of 3 Quantitative
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Question #4
GRevisit
Choose
The ratio of children going for a picnic to the ratio of children not going is 8:3. If the total number of children were 55
out of which 3 who were not going earlier are now ready to go, what is the new ratio?
08:1
O 9.2
O 51:4
0 43:12​

Answer 1

Given:

The ratio of children going for a picnic to the ratio of children not going is 8:3.

If the total number of children were 55  out of which 3 who were not going earlier are now ready to go.

To find:

The new ratio

Solution:

Let's assume,

"8x" → represent the no. of children going for a picnic

"3x" → represents the no. of children not going for a picnic

Total no. of children = 55

∴ 8x + 3x = 55

⇒ 11x = 55

⇒ x = $\frac{55}{11}$

⇒ x = 5 ..... (i)

We are given that 3 of them who were not going earlier are now going, so,

The no. of children going for a picnic now becomes = 8x + 3

and

The no. of children not going for a picnic now becomes = 3x - 3

Now,

The new ratio of children going for a picnic to the ratio of children not going becomes,

= $\frac{8x\: +\:3}{3x \:-\: 3}$

substituting the value of x from (i), we get

= $\frac{(8\times 5)\: +\: 3}{(3\times 5)\:-\:3}$

= $\frac{40\: +\: 3}{15\:-\:3}$

= $\bold{\frac{43}{12}}$ ← option (d)

Thus, the new ratio is → $\underline{\bold{\frac{43}{12} }}$.

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