Question

A food item contains the ingredients of maida, water and sugar. If the ratio of maida and water is 7:5 and the ratio of water and sugar is 4:3, then what is the ratio of all three?

• A. 14: 10: 15
• B. 28: 20: 15
• C. 28: 4: 3
• D. 28: 10: 15

Answer 1

The correct option is B

28: 20: 15

Given, the ratio of maida and water is 7:5.

$\therefore$ let maida used = $7x$ and water used= $5x$

Given, the ratio of water and sugar is 4:3.

$\therefore$ let water used = $4y$ and sugar used = $3y$

$\therefore$ $5x$ = $4y$ ($\because$ Both of them are quantity of water used)

$\Rightarrow$ $y$ = $\frac{5}{4}x$--------(1)

Now substituting $y$ in quantity of sugar used we get

sugar used = $3y$

= $3\times$$\frac{5}{4}$$x$

= $\frac{15}{4}$$x$

$\therefore$ ratio of maida, water and sugar = $7x:5x:\frac{15}{4}x$

= $7:5:\frac{15}{4}$

= $28:20:15$