Question 69

Four persons hired a taxi for ₹ 6,000. The first person paid one half of the sum of amounts paid by other persons; the second person paid one-third of the sum of amounts paid by the other persons; and the third person paid one-fourth of the sum of amounts paid by the others. The amount paid by the fourth person is

Name: Four persons hired a taxi for ₹ 6,000. The first person paid one half of the sum of amounts paid by other persons; the second person paid one-third of the sum of amounts paid by the other persons; and the third person paid one-fourth of the sum of amounts paid by the others. The amount paid by the fourth person is
Uploaded: 2026-06-19T15:31:06.152009+05:30
Duration: 8 min 52 s
Description: Four persons hired a taxi for ₹ 6,000. The first person paid one half of the sum of amounts paid by other persons; the second person paid one-third of the sum of amounts paid by the other persons; and the third person paid one-fourth of the sum of amounts paid by the others. The amount paid by the fourth person is

Solution

Let price paid be each individual be Rs. $$a,b,c,d$$ respecitvely.

=> $$(a+b+c+d)=6000$$ -------------(i)

Also, $$2a=b+c+d$$ --------------(ii)

Solving above equations, => $$a=2000$$ and $$b+c+d=4000$$

Similarly, $$3b=a+c+d$$, => $$b+1500$$ and $$c+d=2500$$

and $$4c=a+b+d$$, => $$c=1200$$

$$\therefore$$ Amount paid by 4th person = Rs. $$1300$$

=> Ans - (D)

Try SRCC free mock tests now SRCC mocks free

Get AI Help

Video Solution

View More Questions From Linear Equations

SRCC Quant Questions | SRCC Quantitative Ability

SRCC DILR Questions | LRDI Questions For SRCC

SRCC Verbal Ability Questions | VARC Questions For SRCC

Free SRCC Quant Questions

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored

Phone Number

Preferred Time