Question

The ratio compounded of 2 : 3,9 : 4, 5 : 6 and 8: 10 is
(a) 1:1
(b) 1:5
(c) 3:8
(d) none of these
ans with crtc explanation vil b marked as brainlist​

Answer 1

Answer:

A. 1.1

Step-by-step explanation:

1. 2×9×5×8:3×4×6×10. 720:720= 1.1

Answer 2

The ratio compounded of 2 : 3 , 9 : 4 , 5 : 6 and 8 : 10 is 1 : 1

Given :

The ratios 2 : 3 , 9 : 4 , 5 : 6 and 8 : 10

To find :

The ratio compounded of 2 : 3 , 9 : 4 , 5 : 6 and 8 : 10 is

(a) 1 : 1

(b) 1 : 5

(c) 3 : 8

(d) none of these

Concept :

For given two or more ratios, the antecedent of the compound ratio is the product of antecedents of the given ratios and the consequent of the compound ratio is the product of consequents of the given ratios

More precisely for two given ratios a : b and c : d the compound ratio of a : b and c : d is ac : bd

Solution :

Step 1 of 2 :

Write down the given ratios

Here the given ratios are 2 : 3 , 9 : 4 , 5 : 6 and 8 : 10

Step 2 of 2 :

Find the ratio compounded of 2 : 3 , 9 : 4 , 5 : 6 and 8 : 10

We know that for given two or more ratios, the antecedent of the compound ratio is the product of antecedents of the given ratios and the consequent of the compound ratio is the product of consequents of the given ratios

Hence the ratio compounded of 2 : 3 , 9 : 4 , 5 : 6 and 8 : 10

$\displaystyle \sf = (2 \times 9 \times 5 \times 8) : (3 \times 4 \times 6 \times 10)$

$\displaystyle \sf = 720 : 720$

$\displaystyle \sf = 1 : 1$

Hence the correct option is (a) 1 : 1

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