WORD PROBLEMS ON SUCCESSIVE DISCOUNTS

Problem 1 :

The marked price of a shirt is $1000. A shopkeeper offers 10% discount on this shirt and then again offers 20% discount on the new price. How much will you have to pay, finally?

Solution :

Cost price of the shirt = $1000

Cost price = 100%

After the first discount = 90% of 1000

= 0.90(1000)

= 900

After the second discount :

80% of 900 = 0.80(900)

= 720

So, finally he has to pay $720.

Problem 2 :

The marked price of a shirt is $1000. A shopkeeper offers 10% discount on this shirt and then again offers 20% discount on the new price, and then and then again offers 30% discount on the new price . How much will you have to pay, finally?

Solution :

Marked price of the shirt = $1000

Price of the shirt after 1^st discount :

90% of the price = 0.90(1000)

= $900

Price of the shirt after 2^nd discount :

80% of the price = 0.80(900)

= $720

Price of the shirt after 3^rd discount :

70% of the price = 0.70(720)

= $504

Problem 3 :

Jorge bought a watch on sale for 25% off the original price and another 75% off the discounted price. If the watch originally costs $64, what was the final sale price that Jorge paid for the watch?

Solution :

Original cost of the watch = $64

After the 1st discount :

Discount = 25%

75% of the original price = 0.75(64)

= 48

After the 2nd discount :

Discount = 75%

= 25% of the 48

= 0.25(48)

= 12

Problem 4 :

Antonia is buying a space heater that regularly costs $90. It is on sale for 40% off with an additional 25% off the discounted price. What is the final sale price of the heater?

Solution :

Regular cost of heater = $90

Price of heater after the 1st discount :

Discount = 40%

60% of the price = 0.60(90)

= 54

Price of heater after the 2nd discount :

Discount = 25%

75% of 54 = 0.75(54)

= 40.5

Problem 5 :

The price of a new pair of shoes is $40. If there is a 20% discount on all shoes, how much is deducted from the original price?

Solution :

Price of shoes = $40

Discount = 20%

20% of the price of shoe = 0.20(40)

= 8

The deduction amount = 8

The new price = 40 - 8

= $32

Problem 6 :

A jacket originally costs $70. Wilasha bought it yesterday at 30% off. How much was her discount?

Solution :

Original price of the jacket = $70

30% of the original price = 0.30(70)

= $21

The deduction amount = $21.