Question

31) DrinkMore Coffee is a coffee shop with a peculiar scheme. The shop keeps a
weekly tally for each customer's first coffee costs Rs. 45, the second coffee costs
Rs. 40.5, third cots Rs. 36 and so on. The cost decreases by Rs.4.5 until the price
reaches Rs. 4.5. The remaining coffees that week are free for the customer. Ms.
Coffee Priya is a coffee lover and in a two week period she consumed a total of 15
coffees at this shop. She paid a total of Rs. 333 for the coffees she drank during
the two weeks. How many free coffees did she get during this week period?
a) 2
b) 11
c) O
d) 3
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Answer 1

Given : The shop keeps a weekly tally for each customer's first coffee costs Rs. 45, the second coffee costs Rs. 40.5, third cots Rs. 36 and so on. The cost decreases by Rs.4.5 until the price reaches Rs. 4.5. The remaining coffees that week are free for the customer.

Priya is a coffee lover and in a two week period she consumed a total of 15

coffees at this shop. She paid a total of Rs. 333 for the coffees she drank during the two weeks.

To Find : How many free coffees did she get during this week period?

Solution:

To get free coffees in a week  she must pay for all the paid coffees

so she pay in that week

4.5  +  9  +  ________ + 40.5 + 45

a = 4.5

d = 4.5

n = 10

Sum  = (10/2)(4.5 + 45)  = 49.5  * 5  = 247.5

She paid for 10 coffees  +   x free coffees

Rest amount she will pay  in another week

333 - 247.5  =    85.5

85,5 = 45 + 40.5  

Hence She paid for 2 coffees in another week

10 + x + 2 = 15  

=> x = 3

So she got 3 coffees free in this 2 week period

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