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Living on your own: Sanjay is looking for a 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

Solution:

Neelgiri Apartments

The rent for the first two months is reduced by 20%. Therefore rent payable for two months is:

Rent for two months = 2 × (1 - 0.20) × 6000 = 2 × 0.80 × 6000 = Rs. 9600

Savana Apartments

Only the first month rent is reduced by 50%. Since the monthly rent is Rs. 7000 therefore the first month rent will be:

First Month Rent = 0.50 × 7000 = Rs. 3500

The second month rent = Rs. 7000

The first two months rent is therefore = Rs. 3500 + Rs. 7000 = Rs. 10,500

Hence for the first two months the rent payable in case of Neelgiri apartments is Rs. 9600 which is less by Rs. 900 than that of Savana Apartments which is Rs. 10,500.

✦ Try This: Living on your own: Sanjay is looking for a one-bedroom apartment on rent. At Neelgiri apartments, rent for the first two months is 30% off. The one bedroom rate at Neelgiri is Rs 6,500 per month. At Savana apartments, the first month is 60% off. The one bedroom rate at Savana apartments is Rs 7500 month. Which apartment will be cheaper for the first two months? By how much?

Neelgiri Apartments

The rent for the first two months is reduced by 30%. Therefore rent payable for two months is:

Rent for two months = 2 × (1 - 0.30) × 6500 = 2 × 0.70 × 6500 = Rs. 9100

Savana Apartments

Only the first month rent is reduced by 60%. Since the monthly rent is Rs. 7000 therefore the first month rent will be:

First Month Rent = 0.40 × 7500 = Rs. 3000

The second month rent = Rs. 7500

The first two months rent is therefore = Rs. 3000 + Rs. 7500 = Rs. 10,500

Hence for the first two months the rent payable in case of Neelgiri apartments is Rs. 9100 which is less by Rs. 1400 than that of Savana Apartments which is Rs. 10,500.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 9 Problem 111

Living on your own: Sanjay is looking for a 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

Summary:

Living on your own: Sanjay is looking for a 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. Neelgiri apartments will be cheaper than Savana apartments and by an amount of Rs. 900.

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