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# Radhika bought a car for Rs 2,50,000. Next year its price decreased by 10% and further next year it decreased by 12%. In the two years, overall decrease percent in the price of the car is

(a) 3.2%

(b) 22%

(c) 20.8%

(d) 8%

**Solution:**

The price at which Radhika bought the car = Rs. 2,50,000

The following year the price of the car decreased by 10%. Therefore the new price of the car became:

The new price of the car = 90% of Rs. 250,000

= (90/100) × 250,000

= 90 × 2500

= Rs. 225,000

The price further decreased by 12% in the next year. Therefore the new price was:

The new price of the car = 88% of Rs. 225,000

= (88/100) × 225,000

= 88 × 2250

= Rs. 198,000

The total decrease in the price of the car over two years is:

Decrease in Price over two years = Rs. 250,000 - Rs. 198,000

= Rs. 52,000

The % decrease in price over two years is = (52000/250000) × 100

= (52/250) × 100

= (52 × 4)/10

= 208/10 = 20.8%

**✦ ****Try this:** Radhika bought a car for Rs 5,00,000. Next year its price decreased by 15% and further next year it decreased by 18%. In the two years overall decrease percent in the price of the car is:

The price at which Radhika bought the car = Rs. 5,00,000

The following year the price of the car decreased by 15%. Therefore the new price of the car became:

The new price of the car = 85% of Rs. 500,000

= (85/100) × 500,000

= 85 × 5000

= Rs. 425,000

The price further decreased by 18% in the next year. Therefore the new price was:

New price of the car = 82% of Rs. 425,000

= (82/100) × 425,000

= 82 × 4250

= Rs. 348,500

The total decrease in price of the car over two years is:

Decrease in Price over two years = Rs. 500,000 - Rs. 348,500

= Rs. 151,500

The % decrease in price over two years is = (151,500/500,000) × 100

= 1515/50

= 30.3%

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 8

**NCERT Exemplar Class 8 Maths Chapter 9 Problem 20**

## Radhika bought a car for Rs 2,50,000. Next year its price decreased by 10% and further next year it decreased by 12%. In the two years overall decrease per cent in the price of the car is (a) 3.2%, (b) 22%, (c) 20.8%, (d) 8%

**Summary:**

Radhika bought a car for Rs 2,50,000. Next year its price decreased by 10% and further next year it decreased by 12%. In the two years overall decrease per cent in the price of the car is 20.8%

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