Question

If Latha contributed ₹20, Sita contributed ₹30 and Gita contributed ₹50 to buy a cake, the total volume of the cake is 300 cm${}^3$ and decided to divide it in the ratio of contribution then what volume of cake did Gita get?

• A. 120 cm${}^3$
• B. 60 cm${}^3$
• C. 90 cm${}^3$
• D. 30 cm${}^3$

Answer 1

The correct option is A

120 cm${}^3$

Given that Latha contributed ₹20, Sita contributed ₹30 and Gita contributed ₹50.

Now the ratio of their contribution
= 20: 30: 50 = 2: 3: 5

$\therefore$ Now let the volume of cake they got be 2$x$, 3$x$, 5$x$.

$\because$ The total volume of the cake is 300 cm${}^3$.

$\Rightarrow$ 2$x$+3$x$+5$x$ = 300

$\Rightarrow$ 10$x$ = 300

$\Rightarrow$ $x$ = 30

$\therefore$ The volume of cake Gita should get
= 4$x$

= 4$\times$30

= 120 cm${}^3$