Question

The capacities of two bottles are in the ratio 5: 3. If the smaller bottle is emptied thrice and the larger bottle once into a vessel; and in another vessel, only the larger bottle is emptied twice then find the ratio of the liquids in both the vessels.

• A. 5: 7
• B. 7: 5
• C. 9: 10
• D. 2: 5

Answer 1

The correct option is B

7: 5

Given: The ratio of capacities of two bottles = 5: 3.

$\therefore$ Let the capacity of bottles be 5$x$ and 3$x$.

In vessel 1 the quantity of liquid present = 3$\times$3$x$ + 1$\times$5$x$

= 9$x$ + 5$x$

= 14$x$

In vessel 2 the quantity of liquid present = 2$\times$5$x$

= 10$x$

$\therefore$ Ratio of liquids present in both vessels = 14$x$: 10$x$

= 14: 10

= 7: 5