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Question a Day-11

CAT Question a day

Wordpandit Question of the day

Question: A man bought a scooter and a car. If he sold the scooter at 10% loss and the car at 20% gain, he would not lose anything; but if he sold the scooter at 5% loss and the car at 5% gain, he would lose Rs. 10 in the bargain. The amount paid by him for the scooter was:

Answer Options:
1. Rs 200
2. Rs 400
3. Rs 500
4. Rs 600

 

Solution posted below. Click on the plus sign to view the solution.

Answer and Explanation

Answer: Option 2

Solution:

Let the CP of the scooter = Rs x and CP of car is Rs y.

We have 0.1x = 0.2y =

x = 2y

Now 5% of x – 5% of y = 10

5% of 2y – 5% of y = 10 (as x = 2y)

5% of y = 10

y = Rs 200 and x = Rs 400

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