Data Interpretation Quiz – 10

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Directions (Question 1 to 4): Answer the questions based on the following information.

Nisha, Nitu, Soha and Sonali are four sisters who have an agreement that they share all snacks equally among themselves. One day uncle Chowdhary gave a box of cookies to Nisha. Since the other sisters were not around, Nisha divided the cookies into four equal parts, ate her share and put the rest into the box. As she was closing the box, Nitu came in. She took all the cookies from the box and divided them into four equal parts. Nisha and Nitu ate one part each and put the rest into the box. Just then, Soha walked in. She took all the cookies form the box, divided them into four equal parts. The three of them ate their respective shares and put the rest into the box. Later, when Sonali came, she divided all the cookies into four equal parts and all the four sisters ate their respective shares. In total, Sonali ate three cookies.

1. How many cookies, in total, did Soha eat?

A) 30

B) 12

C) 15

D) 6

E) 4

Answer

Option: C

 

2. How many cookies, in total, did Nitu eat?

A) 9

B) 30

C) 39

D) 36

E) 42

Answer

Option: C

 

3. How many cookies, in total, did Nisha eat?

A) 32

B) 142

C) 97

D) 71

E) 42

Answer

Option: D

 

4. If, instead of 3, Sonali ate 27 cookies, what would have been the total number of cookies eaten by Nisha and Nitu?

A) 330

B) 110

C) 990

D) 390

E) 420

Answer

Option: C

Show Solutions

Solution(Q.1-4): If we start from backwards, when everybody ate three cookies, we get the following table, with the help of which rest of the questions can be solved easily.

Nisha Nitu Soha Sonali
First 32
Second 24 24
Third 12 12 12
Fourth 3 3 3 3
Fifth 71 39 15 3

 

Directions (Question 5 to 9): Study the given table carefully to answer the given questions.

Percentage profit or loss is based on the sum of cost price and transportation cost.

Name of the Goods Cost Price   (In Rs.) Selling Price (In Rs.) Transportation cost (In Rs.) Profit             (In Rs.) Loss                (In Rs.) Profit or Loss %
P 50 30
Q 100 10
R 250 20 5
S 400 4% Loss
T 400 40 6% Profit of CP

 

 

5. The percentage profit on V is 4%. Then what is its selling price?

A) 80.40

B) 82.80

C) 83.20

D) 74.50

E) 78.40

Answer

Option: C

Solution: Cost price of V = `50

Transportation cost = `30

Total cost price = 50 + 30 = `80

Profit = 4%

Selling price = 80 × 104

100 = `83.2

 

6. The selling price of X is what per cent of the cost price of W?

A) 150%

B) 175%

C) 325%

D) 250%

E) 275%

Answer

Option: D

Solution: Selling price of X = (Cost price + Cost on transportation + Profit) = 250 + 20 + 5 = `275

Cost price of W = Selling price + Loss = 100 + 10 = `110

Reqd % = 275*100/110% = 250% of the cost price of W.

 

7. What is the ratio of the loss on Y to that on W?

A) 833:500

B) 150:175

C) 65:55

D) 233:155

E) 133:255

Answer

Option: A

Solution: Loss on Y = Cost price of Y – Selling price of Y= 400*100/96-40 = Rs. 16.66

Loss on W = `Rs. 10

Required ratio = 16.66 : 10 = 833 : 500

 

8. What is the difference between the selling price of Z and that of X?

A) 186.3

B) 187.5

C) 191.4

D) 143.4

E) 153.5

Answer

Option: C

Solution: Selling price of Z = Cost price of Z + Cost on transportation + Profit = 400 + 40 + 440*6/100 =`466.4

Selling price of X = `275

Difference = 466.4 – 275 = `191.4

 

9. If the loss on V is 5%, then its selling price is what percentage less than the selling price of Z?

A) 87.4%

B) 83.7%

C) 64.5%

D) 92.4%

E) 85.3%

Answer

Option: B

Selling price of V = (Cost price + Cost of Transportation) × 95/100 = (50 + 30) × 95/100 = `Rs. 76

So, Selling price of Z = `466.4

So, Required % = 466.4 – 76/466.4*100% = 83.7% less than selling price of Z.

 

 

 

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