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Directions (1- 5): Read the following paragraph carefully and answer the following questions.

A factory has 110 workers manufacturing soaps. There is an agreement between the factory and

the retail shop owner that factory has to supply _______(n) products per trip at Rs.________ (C) per soap. The transportation fee per trip is Rs.10000 which should be taken care by the retail shop owner.

The factory has _______(A) men and _________(B) women. One man takes ________(x) hours to manufacture a soap while one woman takes one more hour. Working 8 hours per day, they manufacture 200 soaps. The daily wages of one man and one woman is Rs.400 and Rs.320 respectively.

In one trip, the factory owner gains 25% percent. The retail shop owner marks the soap at 10% profit. Selling all themanufactured soaps in one month at the marked price, the total profit the shop owner gets is Rs.162000.

1) What is the total profit of factory owner per

month?

a) 120000

b) 1200000

c) 800000

d) 300000

e) 462000

2) If B men and A women work for 10 hours in a

day and the daily wages of the workers are

unchanged, what will be the price at which the

soap is sold by the factory to keep the profit

percent of factory owner to be same?

a) 170

b) 190

c) 200

d) 215

e) 230

3) If the number of trips is halved and the

transportation fee is also halved, how much

profit will the shop owner will get if he gives a

discount of 10%?

a) 10.60

b) 12.30

c) 15.50

d) 20.60

e) 7.30

4) If the transportation fee is paid by the factory

owner itself, find the profit percent of the

factory owner and the retail shop owner if he

sells at the same price as before.

a) 12%, 18%

b) 15%, 18%

c) 15.8%, 18.8%

d) 12.5%, 18%

e) 15%, 18.8%

5) If the shop owner provides an offer of giving

one soap free to those who are buying 20 soaps,

what is the approximate profit percent in this

case?

a) 5.76%

b) 4.16%

c) 4.76%

d) 4.5%

e) 5.5%

FIND WRONG NUMBER

6. 480, 960, 320, 1280, 272 , 1536

(a) 960 (b) 272 (c) 1280

(d) 320 (e) 1536

7. 210, 197, 171, 135, 80, 15

(a) 197 (b) 15 (c) 80

(d) 171 (e) 135

8. 4, 3, 5, 14, 60, 528

(a) 60 (b) 4 (c) 5

(d) 14 (e) 528

9. 9, 63, 25, 216, 49, 512

(a) 25 (b) 216 (c) 63

(d) 512 (e) 49

10. 4498, 4888, 5336, 5846, 6422, 7070

(a) 5846 (b) 4498 (c) 5336

(d) 7070 (e) 6422

SOLUTION:

1) Answer: d

By data,

A + B = 110 ---------- (1)

A * (8/x) + B * (8/x + 1) = 200 ------- (2)

Daily wages will be according to the efficiency,

(8/x)/(8/x + 1) = 400/320

(x + 1)/x = 5/4

4x + 4 = 5x

x = 4

So, 2A + 1.6B = 200 ---- (2)

(1) * 2, 2A + 2B = 220

Subtracting above two, 0.4B = 20

B = 50

A = 60

For One day,

Total wages = 400 * 60 + 320 * 50 = 24000 +

16000 = 40000

Number of soaps in one day = 200

So, cost price of a soap for factory = 40000/200 =

200

Profit % for factory owner = 25%

Selling price of a soap (C) = (125/100) * 200 = 250

Profit per soap = 50

Total profit per month = 50 * 200 * 30 = 300000

2) Answer: c

Number of men = 50; Number of women = 60

Number of products manufactured in 10 hours =

(50 * 10/4) + (60 * 10/5)

= 125 + 120 = 245

Total wages = 50 * 400 + 60 * 320 = 20000 +

19200 = 39200

Cost price for the factory per soap = 39200/245 =

160

Selling price for 25% profit = 1.25 * 160 = 200

3) Answer: b

Profit for retail shop owner = 10%

Total profit per month = 162000

Total number of soap manufactured in a month =

200 * 30

Total selling price of retail shop owner =

(162000/10) * 110 = 1782000

Selling price of a soap of retail shop owner =

1782000/ (200 * 30) = 297

Let CP be the cost price for the retail shop owner.

(10/100) * CP * 200 * 30 = 162000

CP = 270

CP is equal to buying of the soap and the

transportation per trip.

If n be the number of soap transported per trip

C + 10000/n = 270

250 + 10000/n = 270

n = 500

Total number of trips in a month = (200 * 30)/500

= 12

Now,

Total number of trips = 6 and Transportation fee

= 5000

Now, number of soaps in one trip = 1000

Now cost price for the retail shop owner = 250 +

(5000/1000) = 255

Selling price of one soap = (90/100) * 297 =

267.30

Profit = 267.30 – 255 = 12.30

4) Answer: e

In a trip, 500 products are transported at 250 per

soap.

Total amount = 500 * 250 = 125000

Wages for 500 products = 2.5 * (400 * 60 + 320 *

50) = 2.5 * 40000 = 100000

Transportation fee = 10000

Total expenses for the factory = 110000

Profit = 125000 – 110000 = 15000

Profit percent = (15000/100000) * 100 = 15%

For retail owner, cost price = 250

Marked price = 297

Profit = 297 – 250 = 47

Profit percent = (47/250) * 100 = 94/5 = 18.8%

5) Answer: c

Cost price of one soap for shop owner = 270

Cost price of 21 soaps = 21 * 270

Selling price of 20 soaps = 20 * 297

Profit percent = [(20 * 297/21 * 270) - 1] * 100 =

[(22/21) – 1] * 100 = 4.76%

6.