__Direction (1-3)__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.

ARTICLES | DISCOUNT % BY SHOP A | DISCOUNT % BYSHOP B | DISCOUNT % BYSHOP C |

I | 26% | 28% | 34% |

II | 14% | -- | 28% |

III | -- | 12% | -- |

IV | 26% | 34% | -- |

V | -- | -- | 24% |

**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

**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

**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 is**

**66 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) c

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 ,

(SP of A = (100 – discount ) * x / 100 = (100 -26)* x / 100 = 74x/ 100 Similiarly for B and C )

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= 72 * 6075 / 100

Sp = 4374

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.

Subtracting both equations , we get

Discount offer by B can be found by substituting x in any one of the equation

Disount amount = 4400 * 22 / 100

given ,26% of MP II = x % (MPD ) ….. (1)

suppose if market price of article II by shop c is 100 % then , for shop D will be

(MPD ) is 100 + 66 2/3% = 500/3% of MPC

(MPD ) / MPC = 500/300 = 5/3

So substituting this in the equation 1

We get 100 cancelled ,

26 MP II = x(MPD )

(MPD ) 26*3/5 = x

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= 72 * 6075 / 100

Sp = 4374

**Hence answer is option (c)**#### 2) a

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

Subtracting both equations , we get

**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**#### 3) c

MP II is the market price of article II and (MPD ) is the market price of Dgiven ,26% of MP II = x % (MPD ) ….. (1)

suppose if market price of article II by shop c is 100 % then , for shop D will be

(MPD ) is 100 + 66 2/3% = 500/3% of MPC

(MPD ) / MPC = 500/300 = 5/3

So substituting this in the equation 1

We get 100 cancelled ,

26 MP II = x(MPD )

(MPD ) 26*3/5 = x

**X= 15.35****So (c) 15 is the nearest in the answer and the correct choice.**
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