Question

The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 5 days. The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 4 days. The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is

• A. 15 : 4
• B. 19 : 5
• C. 5 : 19
• D. 4 : 15

Answer 1

Answer:

B. 19 : 5

Given:

The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 5 days.

The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 4 days.

Calculation:

Let Neeta, Geeta, and Sita earn N, G, and S in one day

According to the question,

N + G = 5S      ----(i)

S + N = 4G      ----(ii)

By subtracting (ii) from (i) we get

G - S = 5S - 4G

⇒ 5G = 6S

So, $\frac{G}{S}=\frac{6}{5}$

So the ratio of daily earnings of Geeta and Sita = 6 : 5

Let earnings of Geeta and Sita be 6x and 5x

So,

N + 6x = 5 × 5x

⇒ N + 6x = 25x

⇒ N = 19x

So, Neeta's daily earning is the most, and Sita's is the least

So, required ratio = 19x : 5x

⇒ 19 : 5

∴ The Required answer is 19 : 5.