A) 3:17
B) 5:17
C) 7:17
D) none of these
Correct Answer: D
Solution :
Ram can do work in 20 days Ram's 1 day's work \[SI=Rs.1920\]th Let Shyam complete the work in x days. \[\frac{PTR}{100}=Rs.1920\] Shyam's 1 day's work \[\frac{P\times 2\times 15}{100}=1920\] Now, Ram's efficiency is 30% more than Shyam. \[P=Rs.6400.\] \[A=8000{{\left( 1+\frac{5}{2\times 100} \right)}^{2}}=Rs.8405\] \[\Rightarrow \]\[=25000\times \left( 1+\frac{4}{100} \right)\times \left( 1+\frac{5}{100} \right)\times \left( 1+\frac{8}{100} \right)\]\[=25000\times \frac{26}{25}\times \frac{21}{20}\times \frac{27}{25}=29,484.\]\[=1,75,000\times {{\left( 1-\frac{20}{100} \right)}^{3}}\] \[=1,75,000\times \frac{4}{5}\times \frac{4}{5}\times \frac{4}{5}=Rs.89,600\]Shyam's 1 day's work \[P\left[ {{\left( 1+\frac{10}{100} \right)}^{2}}-1 \right]=525\] and Ram's 1 day's work \[P\times \frac{21}{100}=525\] \[\Rightarrow \]Ratio of work done by Shyam to work done by Ram \[P=Rs.2500\]
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