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START QUIZ

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:

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

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

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

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%

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%

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