Missing DI Asked in SBI PO Mains 2017 With Solutions

There are three shops A,B and C which sells different articles namely I , II III , IV and V respectively.the discount offered by each shops on different articles is given in the table.
NOTE: THE MARKED PRICE OF AN ARTICLE IS SAME IN ALL SHOPS

Question 1:
If the average selling price of an article I on all shops is Rs. 4293 , then find the selling price of article I in shop B

a)4912
b)4523
c)4374
d)3416
e)4312

Question 2:
If the average selling price of article II in shop A and B is Rs. 3608 and that in shop B and C is Rs. 3300 , then the discount offered by shop B( in rupees) is ?

a) 968
b)732
c) 1734
d)862
e)1324

Question 3:
If a new shop D come now and started selling article III with some percent discount whose amount is equal to the amount of discount offered by shop C in article II (given that MP decided by shop D is66 2/ 3 % more than that by shop c ).Find the percentage of discount offered by shop D.

a)18.66 %
b) 18.33%
c)15%
d) 17%
e)23%

ANSWER:

1) Clearly given MP (market price ) will be same for all shops , so lets take market price to be “ x”
Now SP = MP * ( 100 – discount ) / 100
(Or)
SP= x * (100 – discount) / 100
(we all know we sell a product after deducting its discount percentage from the total percentage )
In the given question average selling price is given i.e. 4293 for 3 shops , so the total price of all the three after the discount will be 4293 * 3 = 12879

Writing in equation form,

12879 = 74x/100 + 72x/100 + 66x/100

(SP of A = (100 – discount ) * x / 100 = (100 -26)* x / 100 = 74x/ 100

Similarly for B and C
12879 = 212x100
x = 12879 * 100 / 212
Marked price (x)= 6075

We found the marked price , next step is to find the selling price of ARTICLE I by shop B
SP = 72x/100
SP= 72 * 6075 / 100
Sp = 4374

Hence answer is option (c)

Answer 2

Average selling price of article II by shop A and B is 3608 , so total selling price of both will be 7216

Writing in equation form :
Let “x “ be the market price which is same for all shops , discount rate of A for article II is 14 % , let “y “ be the discount rate for shop B

Also ,
Average selling price of article II by shop B and C is 3300 , so total selling price of both will be 6600

Writing in equation form :
Let “x “ be the market price which is same for all shops , discount rate of C for article II is 28 % , let “y “ be the discount rate for shop B.

So market price = 4400
Discount offer by B can be found by substituting x in any one of the equation
Y = 22%
Disount amount = 4400 * 22 / 100
Discount amount = 968 , so (a) is the correct choice