A company has 12 machines of equal efficiency in its factory. The annual manufacturing expenses are Rs. 24,000 and the establishment charges are Rs. 10,000. The annual output of the company is Rs. 48,000. The annual output and manufacturing costs are directly proportional to the no. of machines while the share holders get the 10% profit, which is directly proportional to the annual output of the company. If 8.33% of machines remained close throughout the year. Then the percentage decrease in the amount of share holders is :
(A) 14.28%
(B) 11.11%
(C) 16.66%
(D) 8.33%
Solution:
No. of Machines Output Manuf. cost Est. cost Total cost Profit 12 48, 000 24, 000 10, 000 34, 000 14, 000 11 44, 000 22, 000 10, 000 32, 000 12, 000 Profit, = Output - total cost = 44000 - 32000 = Rs. 12000 Initial value of share holders, = 14000 = Rs. 1400 New value of share holders, = 12000 = Rs. 1200 Decrease in Share holder value = 1400 - 1200 = 200 percentage decrease in the value of shareholders is :
522.
The monthly expenses of a person are ÃÂÃÂ more than her monthly savings. If her monthly income increases by 44% and her monthly expenses increase by 60%, then there is an increase of Rs. 1,040 in her monthly savings. What is the initial expenditure (in Rs.)?
(A) 10,000
(B) 13,000
(C) 12,000
(D) 9,000
Solution: Saving = 3; Expenditure = 3 + 2 = 5 Income = 5 + 3 = 8 x = 352 - 300 = 52 52 units → 1040 1 unit → 20 500 units → 500 × 20 = 10,000
523.
Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.
(A) Rs. 6876.10
(B) Rs. 6999.20
(C) Rs. 6654
(D) Rs. 7000
Solution:
524.
If the price of the commodity is increased by 50% by what fraction must its consumption be reduced so as to keep the same expenditure on its consumption?
(A)
(B)
(C)
(D)
Solution:
Let the initial price of the commodity be 100. After 50% increase in price, It will become, 100 ------50% increase----> 150. Now, we have to reduce the consumption to keep expenditure 100. Increase in price= 150 - 100 = 50 We have to reduce the consumption, Other Method: Here, we use, Final product constant graphic. 100 ==50% up== 150===33.33% down===>100 Consumption Reduce = 33.33% =
525.
An alloy contains the copper and aluminum in the ratio of 7 : 4 While making the weapons from this alloy, 12% of the alloy got destroyed. If there is 12 kg of aluminum in the weapon, then weight of the alloy required is :
(A) 14.4 kg
(B) 37.5 kg
(C) 40 kg
(D) 48 kg
Solution:
Copper : Aluminum = 7 : 4 Let Copper and Aluminum in the weapon be 7x and 4x respectively Given, Aluminum in weapon = 12 kg So, → 4x = 12 → x = 3 Copper = 7x = 7 × 3 = 21 Kg. Total alloy in the weapon = 12 + 21 = 33 kg But 12% alloy get destroyed in making the weapon, i.e. 88% alloy is used in the weapon, so, → 88 % alloy = 33 kg → 100 % alloy = 37.5 kg
526.
In an examination it is required to get 296 of the total maximum aggregate marks to pass. A student gets 259 marks and is decided failed. The difference of marks obtained by the student and that required to pass is 5%. What are the maximum aggregate marks a students can get ?
(A) 690
(B) 740
(C) 780
(D) Cannot be determined
Solution:
Let the maximum marks be = x Then, 5% of x = 296 - 259 ⇒ = 37 ⇒ x = ⇒ x = 740
527.
The cost of a car is 400% greater than the cost of a bike. If there is an increase in the cost of the car is 15% and that of bike 20%. Then the total increase in the cost of the 5 cars and 10 bikes is:
(A) 17.5%
(B) %
(C) 18.5%
(D) 18.25%
Solution:
Let the bike's initial cost be x and then car's initial cost be 5x After the increase, Bike price = 1.2x Car price = 5.75x Initial total cost of 5 cars and 10 bikes, = 25x + 10x = 35x New cost, = 28.75x + 12x = 40.75x Change in cost = (40.75x - 35x) = 5.75x % change =
528.
A's salary is 50% more than that of B. Then B's salary is less than that of A by :
(A) %
(B) %
(C) %
(D) %
Solution:
Let salary of B = 100 ∴ Salary of A = 100 + 50% of 100 = 150 B salary is lesser then A = 150 - 100 = 50 Required % = × 100 = %
529.
In a metro train there are 600 passengers out of which 34% are females. Fare of each male is Rs. 20 and each female's fare is 25% less than each male. What is the total revenue generated by all the passengers together?
(A) Rs. 10880
(B) Rs. 10980
(C) Rs. 10740
(D) Rs. 10680
Solution:
Total Passengers = 600 No. of females = = 204 No. of male passengers = 600 - 204 = 396 Fare of each male = Rs. 20 Fare of female, 15% less, so, = = Rs. 15 each Total revenue generated by male = 396 × 20 = Rs. 7920 Total revenue generated by female = 204 × 15 = 3060 Total Revenue = 7920 + 3060 = Rs. 10980
530.
The schedule working hour of a labour in a week if 48 hours and he gets Rs. 480 for that. Over time rate is 25% more than the the basic salary rate. In a week a labour gets Rs. 605, how many hours altogether he works in that week.
(A) 49 hours
(B) 52 hours
(C) 55 hours
(D) 58 hours
Solution:
Schedule working hours in week = 48 Total pay in a week for schedule working hours = Rs. 480 Pay per hour for schedule working hours = = Rs. 10 Pay per hour for over time = 10 + 25% of 10 = Rs. 12.5 Total pay in that particular week = Rs. 605 Extra pay = 605 - 480 = 125 So, total over time = = 10 hours Thus, total work hour altogether in that week = 48 + 10 = 58 hours