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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
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)
