Question

Ram and Leela were looking at the price of a car. The price of the car was 50% more than the amount with Ram, and separately, the same price was 20% more than the amount with Leela. Then by what percent is the amount with Ram less than Leela?

Options :
i) 25, ii) 20, iii) 30, iv) 50

Please give explanations. Thank you.

Answer 1

Answer:

Step-by-step explanation:

Suppose price of car is Rs x.

Then let Ram has Rs y,

Given that,

x=y+50% of y= 3/2y

Now let Leela has Rs z.

Given that,

x=z+20% of z= 6/5z

Now y=2/3x and z=5/6x

%less= (z-y) / z  *100

1/6x*6/5x  *100= 20% lesser than Leela.

Option ii)  is correct.

This question requires the knowledge of percentage and some logical reasoning as how to frame the relationship between the equations of two parties. We take a standard price of car as x. And with this we revolve around with forming equations which contains x. Hence we make two equations that is concerned with the total price x and use it to evaluate the final answer.