Question

9. Ram, Shyam and Tarun can complete a job in 4 days, 8 days and 16 days respectively. They start the work and Ram leaves after a day. The other two complete the job. Tarun got 24000 out of the total 90000 paid to the three. As Ram was unwell on the first day, he could not work at his usual capacity. Find the percentage of his usual capacity at which he worked on the first day. (A) 60% (B) 75% (C) 80% (D) 90%​

Answer 1

Step-by-step explanation:

Let the amount with ram, shyam, Tarun & varun

Let the amount with ram, shyam, Tarun & varun be r,s,t and v

Let the amount with ram, shyam, Tarun & varun be r,s,t and vr+s+t+v=240

Let the amount with ram, shyam, Tarun & varun be r,s,t and vr+s+t+v=240r=1/2(s+t+v)

Let the amount with ram, shyam, Tarun & varun be r,s,t and vr+s+t+v=240r=1/2(s+t+v)r=1/2(240−r)

Let the amount with ram, shyam, Tarun & varun be r,s,t and vr+s+t+v=240r=1/2(s+t+v)r=1/2(240−r)r=240/3

Let the amount with ram, shyam, Tarun & varun be r,s,t and vr+s+t+v=240r=1/2(s+t+v)r=1/2(240−r)r=240/3r=80rs

Let the amount with ram, shyam, Tarun & varun be r,s,t and vr+s+t+v=240r=1/2(s+t+v)r=1/2(240−r)r=240/3r=80rss=1/3(r+v+t)

Let the amount with ram, shyam, Tarun & varun be r,s,t and vr+s+t+v=240r=1/2(s+t+v)r=1/2(240−r)r=240/3r=80rss=1/3(r+v+t)s=1/2(240−s)

Let the amount with ram, shyam, Tarun & varun be r,s,t and vr+s+t+v=240r=1/2(s+t+v)r=1/2(240−r)r=240/3r=80rss=1/3(r+v+t)s=1/2(240−s)s=240/4=60rs

Let the amount with ram, shyam, Tarun & varun be r,s,t and vr+s+t+v=240r=1/2(s+t+v)r=1/2(240−r)r=240/3r=80rss=1/3(r+v+t)s=1/2(240−s)s=240/4=60rst=1/4(240−t)

Let the amount with ram, shyam, Tarun & varun be r,s,t and vr+s+t+v=240r=1/2(s+t+v)r=1/2(240−r)r=240/3r=80rss=1/3(r+v+t)s=1/2(240−s)s=240/4=60rst=1/4(240−t)t=240/5

Let the amount with ram, shyam, Tarun & varun be r,s,t and vr+s+t+v=240r=1/2(s+t+v)r=1/2(240−r)r=240/3r=80rss=1/3(r+v+t)s=1/2(240−s)s=240/4=60rst=1/4(240−t)t=240/5t=48rs

Let the amount with ram, shyam, Tarun & varun be r,s,t and vr+s+t+v=240r=1/2(s+t+v)r=1/2(240−r)r=240/3r=80rss=1/3(r+v+t)s=1/2(240−s)s=240/4=60rst=1/4(240−t)t=240/5t=48rsv=240−(t+s+r)

Let the amount with ram, shyam, Tarun & varun be r,s,t and vr+s+t+v=240r=1/2(s+t+v)r=1/2(240−r)r=240/3r=80rss=1/3(r+v+t)s=1/2(240−s)s=240/4=60rst=1/4(240−t)t=240/5t=48rsv=240−(t+s+r)v=240−(48+60+80)

Let the amount with ram, shyam, Tarun & varun be r,s,t and vr+s+t+v=240r=1/2(s+t+v)r=1/2(240−r)r=240/3r=80rss=1/3(r+v+t)s=1/2(240−s)s=240/4=60rst=1/4(240−t)t=240/5t=48rsv=240−(t+s+r)v=240−(48+60+80)v=52rs

correct option is (c)=52

Answer 2

Here you go. I answered it in the image below. It keeps getting deleted for some reason