To increase sales, Unique Electronics & Gadgets store offered an innovative discounts plan on marked

M4maths Previous Puzzles

14 Jun 2022 Percentage

To increase sales, Unique Electronics & Gadgets store offered an innovative discounts plan on marked price of an items in a month of February. The condition of discount is such that customer can avail two consecutive discounts equal to dates of booking confirmation and actual purchase. Mr. X purchased a laptop for Rs. 57,375 whose marked price is Rs. 85,000, then what are the booking confirmation and purchase dates of Mr. X, if it is known that these dates are multiple of 5 ?

OPtion

1) 5th ,15th
2) 20th, 25th
3) 15th, 25th
4) 10th,15th
5) 15th, 20th
6) 5th,10th
7) 10th, 25th
8) 10th, 20th
9) 5th, 25th
10) None of these

Solution

In the month of February dates which are multiple of 5 are 5, 10, 15, 20 and 25
So, his booking confirmation and actual purchase dates can be (5,10) (5,15) (5,20) (5,25) (10,15) (10,20) (10,25) (15,20) (15,25) (20,25)
Now check consecutive discounts of which two dates results into a purchase price of Rs. 57,375 when marked price is Rs. 85,000
For dates 5,10 : 85000x(95/100)x(90/100) = 72675
For dates 5,15 : 85000x(95/100)x(85/100) = 68637.5
For dates 5,20 : 85000x(95/100)x(80/100) = 64600
For dates 5,25 : 85000x(95/100)x(75/100) = 60562.5
For dates 10,15: 85000x(90/100)x(85/100) = 65025
For dates 10,20: 85000x(90/100)x(80/100) = 61200
For dates 10,25: 85000x(90/100)x(75/100) = 57375
For dates 15,20: 85000x(85/100)x(80/100) = 57800
For dates 15,25: 85000x(85/100)x(75/100) = 54187.5
For dates 20,25: 85000x(80/100)x(75/100) = 51000
Therefore, his booking and purchase dates are 10th and 25th respectively.
Correct Option 7)

Correct Option: 7 Best Solution (1)

G.S.Kantharao   1 year AGO

Let the rates of discounts are x,y(which are the multiples of 5)
M.P of laptop is =₹85000
S.P. of laptop is =₹57,375
85000*5x*5y/10000=₹57375
xy=57375*4/850=270=9*30
So 5*√9is the HCF of two rates. Now factors of 30 are (1,30),(2,15),(3,10)(,(5,6)
So the rates should be (100-15*5,100-15*6)=25%,10%
Or 10%,25%
My option is 7 👈

Like? Yes (1) | No