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Question
Sanjay is looking for one-bedroom apartment on rent. At Neelgiri apartments, rent for the first two months is 20% off. The one-bedroom rate at Neelgiri is Rs 6,000 per month. At Savana apartments, the first month is 50% off. The one-bedroom rate at Savana apartments is Rs 7000 per month. Which apartment will be cheaper for the first two months? By how much?
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Solution
Given, one-bedroom rate at Neelgiri = 6000 per month
Also, 20% off for first two months
We need to calculate the cheaper apartment
⇒ Now, we know x% of `n = x/100xx n`
⇒ 20% of rent = `20/100 xx 6000` = 1200
⇒ Rent for first two months = 2 × (6000 – 1200)
= 2 × 4800
= Rs. 9600
∴ Rent for first two months at Neelgiri apartments = Rs. 9600
At Savana apartments, 50% off for first month
And rent for bedroom = 7000 per month
⇒ 50% off rent = `50/100 xx 7000` = Rs. 3500
⇒ Rent for first month = Rs. 7000 – Rs. 3500 = Rs. 3500
But, we need rent for two months for comparing
⇒ Rent for two months in savanna apartment = 3500 + 7000 = Rs. 10500
Now, comparing two apartments rent, we get
= Rs. 10500 – Rs. 9600
= Rs. 900
Hence, Neelgiri apartment will be cheaper by Rs. 900
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