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An electronic store owner allows two discounts of 15% and 20% on each item. As an incentive, if the net payments after the discounts is above ₹30,000,
Question

An electronic store owner allows two discounts of 15% and 20% on each item. As an incentive, if the net payments after the discounts is above ₹30,000, the customer gets an additional discount of 4%. the store also has a scheme of reward points credited to the customer’s account on previous purchases from the store. This enables a customer to get free shopping to get free shopping worth ₹0.25 on every 1 reward point earned. A customer decides to buy a hot water geyser that is marked at ₹48,000. What will be its net selling price (in ₹) for him if he has 1680 reward points to his credit on the previous purchases from this store?

A.

34,190

B.

30,419

C.

39,410

D.

30,914

Correct option is D

Given:

Marked price of water geyser =₹48,000

Two successive discounts = 15% and 20%

Additional discount if net price is above ₹30,000 = 4%​​

Reward points customer had from previous purchases = 1680

Worth of every reward point = ₹0.25

Formula Used:

Successive Discount=D1+D2D1D2100Successive\ Discount = D_{1}+D_{2} - \frac{D_{1}D_{2}}{100}​​

SP=MP×(100D)100SP = MP \times \frac{(100-D)}{100} 

Solution:

Successive Discount=15+20(15)(20)100Successive\ Discount = 15+20 - \frac{(15)(20)}{100}​​

=353=32%= 35 - 3 =32\%​​

SP=48000(10032)100SP = 48000 \frac{(100-32)}{100}​​

=32,640= ₹32,640​​

Price is above ₹30,000 so additional 4% is applied:

Net Price=32,640×(1004)100Net \ Price = 32,640 \times \frac{(100-4)}{100}​​

=31,334.4= ₹31,334.4​​

Reward points = 1680

Worth of every reward point = ₹0.25 = ₹14\frac{1}{4}​​

Total worth of 1680 reward points =14×1680=420 ₹\frac{1}{4}\times 1680 = ₹420​​

Final payable amount = ₹31,334.4 - ₹420 = ₹30,914.4

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