Select the correct answerFour transport companies P, Q, R and S rented a parking place. P kept 12 cars for 5 months, Q kept 20 cars for 6 months, R kept 15 cars for 5 months and S kept 30 cars for 6 months in the parking place. If P’s share of rent is Rs. 2400 the total rent of the parking place is?OptionsRs. 19000Rs. 17400Rs. 15500Rs. 19200
Question
Select the correct answerFour transport companies P, Q, R and S rented a parking place. P kept 12 cars for 5 months, Q kept 20 cars for 6 months, R kept 15 cars for 5 months and S kept 30 cars for 6 months in the parking place. If P’s share of rent is Rs. 2400 the total rent of the parking place is?OptionsRs. 19000Rs. 17400Rs. 15500Rs. 19200
Solution 1
To solve this problem, we first need to understand how the rent is divided among the companies. It seems that the rent is divided based on the number of cars each company has and for how long they are parked.
First, let's calculate the total number of car-months for each company:
- P: 12 cars * 5 months = 60 car-months
- Q: 20 cars * 6 months = 120 car-months
- R: 15 cars * 5 months = 75 car-months
- S: 30 cars * 6 months = 180 car-months
Now, let's add up these car-months to get the total car-months:
Total car-months = 60 (P) + 120 (Q) + 75 (R) + 180 (S) = 435 car-months
We know that P's share of the rent is Rs. 2400 for 60 car-months. So, the rent per car-month is Rs. 2400 / 60 = Rs. 40.
Finally, to find the total rent of the parking place, we multiply the total car-months by the rent per car-month:
Total rent = 435 car-months * Rs. 40/car-month = Rs. 17400
So, the correct answer is Rs. 17400.
Solution 2
To solve this problem, we first need to understand how the rent is divided among the four companies. It seems that the rent is divided based on the number of cars each company kept in the parking place and for how long.
First, let's calculate the total number of car-months for each company:
- P: 12 cars * 5 months = 60 car-months
- Q: 20 cars * 6 months = 120 car-months
- R: 15 cars * 5 months = 75 car-months
- S: 30 cars * 6 months = 180 car-months
Now, let's add up these car-months to get the total car-months:
Total car-months = 60 (P) + 120 (Q) + 75 (R) + 180 (S) = 435 car-months
We know that P's share of the rent is Rs. 2400 for 60 car-months. So, the rent per car-month is Rs. 2400 / 60 = Rs. 40.
Finally, to find the total rent of the parking place, we multiply the total car-months by the rent per car-month:
Total rent = 435 car-months * Rs. 40/car-month = Rs. 17400
So, the correct answer is Rs. 17400.
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