Question

Lasya alone can do a work in 16 days. Srimukhi’s efficiency is 20 % lesser than that of Laya. If Rashmi and Srimukhi together can do the same work in 12 days, then find the efficiency ratio of Rashmi to that of Lasya?
A) 19 : 7
B) 30 : 19
C) 8 : 15
D) 31 : 17

Answer 1

✒✒.Lasya alone can do a work in 16 days. Srimukhi’s efficiency is 20 % lesser than that of Laya. If Rashmi and Srimukhi together can do the same work in 12 days, then find the efficiency ratio of Rashmi to that of Lasya?
A) 19 : 7
B) 30 : 19
C) 8 : 15
D) 31 : 17✔✔✔

Answer 2

Question -: Lasya alone can do a work in 16 days. Srimukhi’s efficiency is 20 % lesser than that of Laya. If Rashmi and Srimukhi together can do the same work in 12 days, then find the efficiency ratio of Rashmi to that of Lasya?
A) 19 : 7
B) 30 : 19
C) 8 : 15
D) 31 : 17

Answer:   C) 8 : 15 

➡️Given Lasya can do a work in 16 days.

➡️Now, time taken by Srimukhi alone to complete the work =
$16 \times \frac{100}{80}$

Time taken by Rashmi = n days

=>
$\frac{12 \times 20}{20 - 12} = \frac{12 \times 20}{n}$

=> n= 30 days.

➡️Required ratio of efficiencies of Rashmi and Lasya

=>  
$\frac{1}{30} :: \frac{1}{60}$

= 8 : 15.