Data Interpretation based on Profit and Loss

D.1-10) Refer to the following table and answer the questions.

(Assume cost price be Rs.100)

 Item profit loss Discount Marked price (in Rs.) A 40% – 30% – B 12% 140 C 10% 25% – D 12.5% 200 E 17.5% 120

1) what is the ratio between the marked price of item A and the marked price of item C?

a) 7 : 3

b) 4 : 5

c) 6 : 3

d) 4: 7

e) None of these

(e) Let A’s  cost price be Rs.100

Profit%  = Rs.40%

So, selling price = Rs.140

Discount%  = 30%

Marked price = 70% of X=140

=Rs.200

Let C’s  cost price be Rs.100

Loss% = Rs.10%

So, selling price = Rs.90

Discount % = 25%

Marked price = 75% of X=90

=Rs.120

Required Ratio = 200 : 120 = 5 : 3

2) Item D’s discount rate is what percentage of item B’s discount rate?

a) 19.875%

b) 22.875%

c) 27.875%

d) 21.875

e) None of these

(e) Let Item D’s cost price be Rs.100

Profit % = Rs.12.5

So, selling price = Rs.112.5

Marked price = Rs.200

“Discount rate =”  ” 200-112.5″ /200 “×100= 43.75%”

Let Item B’s cost price be Rs.100

Profit % = Rs.12

So, selling price = Rs.112

Marked price = Rs.140

“Discount rate =”  ” 140-112″ /140 “×100= 20%”

“Required percentage = ”  43.75/20 “×100 = 218.75%”

3) What is the discount rate of item E?

a) 41.25%

b) 31.25%

c) 27.08%

d) 22.75%

e) 30.75%

(c) So, selling price = Rs.82.5

Marked price = Rs.120

“Discount rate =”  ” 120-82.5″ /120 “×100= 31.25%”

4) What is the difference between total marked price of item A, B, C, D, E and the total selling price of item A, B, C, D , and E?

a) Rs.240

b) Rs.248

c) Rs.228

d) Rs.250

e) None of these

(e) Item B’s marked price =Rs.140

Item D’s marked price =Rs.200

Item E’s marked price =Rs.120

Let A’s  cost price be Rs.100

Profit%  = Rs.40%

So, selling price = Rs.140

Discount%  = 30%

Marked price = 70% of X=140

=Rs.200

Let C’s  cost price be Rs.100

Loss% = Rs.10%

So, selling price = Rs.90

Discount % = 25%

Marked price = 75% of X=90

=Rs.120

Let’s cost price be Rs.100

Item A’s Profit % = 40%

So, Item A’s selling price = Rs.140

Similarly,

Item B’s selling price = Rs.112

Item D’s selling price = Rs.112.5

Item C’s loss % = 10%

So, Item C’s selling price = Rs.90

Similarly,

Item D’s selling price = Rs.82.5

Difference = (140+200+120+200+120 )- (140+112+112.5+90+87.5)= Rs.238

5) If Item A’s profit % is decreased by 20% and Item C’s loss % is increased by 20% then what is the approximate different between the marked price of Item A and C?

a) Rs. 63

b) Rs.73

c) Rs.65

d) Rs.60

e) None of these.

(a) Let A’s  cost price be Rs.100

Now A’s

Profit%  = 20%

So, selling price = Rs.120

Discount%  = 30%

Marked price = 70% of X=120

=Rs.170(approximately)

Let C’s  cost price be Rs.100

Now C’s

Loss% = Rs.20

So, selling price = Rs.80

Discount % = 25%

Marked price = 75% of X= 80

=Rs.107( approximately)

Difference = 170-107= Rs.63

6) Rahul invested 20% more than Mohit. Mohit invested 10% less than Ragu. If the total sum of their investment is Rs.17880, how much amount did Raghu invest?

a) Rs.6000

b) Rs.7000

c) Rs.8000

d) Rs.5000

e) cannot be determined.

(a) Let the investment made by Raghu be 100x, so Mohit’s investment = 90x and rahul’s investment =108x

108x+90x  + 100x = 298x = 17880

X=60

So, Raghu investment = 100x = Rs.6000.

7) A, B, C and D are four salesman in the first month they received a commission of Rs.3200 from their company and divided it in the ratio of 2 : 3 : 4 : 7 in the second month the commission doubled, the amount was doubled in the ratio 3 : 4 : 5 : 4. In the third month the commission tripled when compared to the first month and they shared in the ratio of 4 : 7 : 3: 2 and in the fourth month the commission became half of the previous month and they shared it in the ratio of 4 : 3 : 5 : 4 . What was the average monthly earning of C over the period?

a) 1575

b) 1675

c) 1625

d) 1525

e) None of these

(d) Total commission in first month = Rs.3200

Total commission in second month = Rs.6400

Total commission in thired month = Rs. 9600

Total commission in fourth month = Rs.4800

“C’s share in the commission =”  4/16 of 3200+  5/16 of 6400+ 3/16 of 9600+ 5/16 “of 4800”

=800 + 2000 + 1800 + 1500 = Rs.6100

“C’s average monthly earnings = ”  “6100” /4 “= Rs.1525.”

8) How many 6 digit numbers can be formed out of the number 542658, which are even?

a) 480

b) 720

c) 360

d) 5040

e) None of these

(e) Unit place can be taken by any of the three even digits 2, 4, 6 and 8 and rest of the places can be filled up in 5!ways.

But since digit 5 occurs 2 times.

“Hence required number of numbers ”  (4!×5!)/2! “= 240.   “

9) Two shops A and B marked the same brand of jeans for Rs.900. Shop A offers successive discounts of 15% and 15% While shop B offers successive discounts of 20% and 10%. Then the difference in the selling price of jeans is?

a) Rs.2.25

b) Rs.3.35

c) Rs.4.45

d) Rs.5.55

e) None of these

(a) Final selling price of jeans in shop A = (900- 900×0.15)- (900-900×0.15)×0.15 = Rs. 650.25

Final selling price of jeans in shop B = (900-900×0.20)- (900-900×0.20)×0.10= Rs.648

Difference = Rs.2.25

10) Let us assume that 20g of sugar dissolves in 100g of water. Even an extra pellet will remain undissolved and sediment at the bottom of the solution. Now, water starts evaporating from 1kg of 7% solution at the rate of 32.5g per hour. After how long will the sediments start to evaporate?

a) 25 hours

b) 20 hours

c) 15 hours

d) 30 hours

e) None of these.

(b) Sedimentation occurs when more than 20g of sugar is present in 100g of water.

Amount of sugar in 1kg of water = 70g

“Amount of water needed for sedimentation to start = ”  “70x×100″ /20 ” = 350g”

Amount of water that should evaporate = 1000-350 = 650g

“Time required for eveporation =”  ” 650″ /”32.5 ”  “= 20 hours.”