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Standard IX

Mathematics

Theorems on Equal Ratios

The ratio of ...

Question

The ratio of toggle-bolt prices in year $X$ to toggle-bolt prices in year $Y$ was $4$ to $3$ . If the ratio of prices in year $Y$ to prices in year $Z$ was $3$ to $2$ , what was the ratio of prices in year $X$ to prices in year $Z$ ?

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1

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1

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Solution

The correct option is B $2$ to $1$
Given that,
$X : Y = 4 : 3$ and $Y : Z = 3 : 2$
Since in both the conditions, Y is same,
Hence $X : Y : Z = 4 : 3 : 2$
We need, $X : Z = 4 : 2 = 2 : 1$
So the answer is option B

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The ratio of toggle-bolt prices in year X to toggle-bolt prices in year Y was 4 to 3. If the ratio of prices in year Y to prices in year Z was 3 to 2, what was the ratio of prices in year X to prices in year Z?

The correct option is B 2 to 1Given that,X:Y=4:3 and Y:Z=3:2Since in both the conditions, Y is same,Hence X:Y:Z=4:3:2We need, X:Z=4:2=2:1So the answer is option B

The ratio of toggle-bolt prices in year $X$ to toggle-bolt prices in year $Y$ was $4$ to $3$ . If the ratio of prices in year $Y$ to prices in year $Z$ was $3$ to $2$ , what was the ratio of prices in year $X$ to prices in year $Z$ ?

The correct option is B $2$ to $1$
Given that,
$X : Y = 4 : 3$ and $Y : Z = 3 : 2$
Since in both the conditions, Y is same,
Hence $X : Y : Z = 4 : 3 : 2$
We need, $X : Z = 4 : 2 = 2 : 1$
So the answer is option B