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1) The ratio of investment of Mani and Naveen in a business is 5: 4. 15% of the total profit goes to charity and the remaining amount will be shared by both of them. Mani gets a share of Rs. 3570. Then find the total profit
a) Rs. 7980
b) Rs. 7560
c) Rs. 8540
d) Rs. 7850
e) Rs. 8120
2) 15 men can complete the work in 8 days. After 4 days of the work, 3 men left the job. In how many days will all of them together complete the remaining work?
a) 5 days
b) 7 ½ days
c) 8 days
d) 6 ¼ days
e) None of these
3) The amount obtained on Rs. 30000 at an interest 6% compounded annually for certain period of time is Rs. 33708. Then find the time in years?
a) 4 years
b) 1 year
c) 3 years
d) 2 years
e) None of these
4) The length of a rectangle is 8 m more than the side of the square and the breadth of the rectangle is 5 m less than the side of the square. If the area of the square is 784 sq m. Find the area of the rectangle
a) 680 Sq m
b) 964 Sq m
c) 756 Sq m
d) 828 Sq m
e) None of these
5) P, Q and R started a business with investments of Rs. 1600, Rs. 2100 and Rs. 1500 respectively. After 8 months from the start of the business, Q and R invested additional amounts in the ratio of 3: 5 respectively. If the ratio of total annual profit to R’s share is 3: 1, then find the additional amount invested by Q after 8 months?
a) Rs. 1200
b) Rs. 1000
c) Rs. 900
d) Rs. 600
e) None of these
D) (6 – 10) – Caselet
Directions (Q. 6 – 10) Study the following information carefully and answer the given questions:
Total number of burgers (Vegetarian + Non – vegetarian) sold by 3 different shops (A, B and C) in a day is 1500. The ratio of total number of vegetarian to that of non – vegetarian burgers sold in all the shops is 2: 3. Total vegetarian burgers sold by shop A is 25 burgers less than the average number of burgers sold by all the given shops together. The total number of vegetarian burgers sold by shop C is (4/7)th  of total number of non – vegetarian burgers sold by shop B. The ratio of total number of vegetarian burgers sold by shop A to that of non – vegetarian burgers sold by shop B is 5: 8. Total number of non – vegetarian burgers sold by shop A is 220 more than the total number of non – vegetarian burgers sold by shop C.
6) Total number of vegetarian burgers in Shop A is what percentage of total number of non – vegetarian burgers in shop C?
a) 87.5 %
b) 75.25 %
c) 62.75 %
d) 93.5 %
e) None of these
7) Find the ratio between the total number of burgers in shop B to that of shop C?
a) 87: 55
b) 92: 43
c) 115: 81
d) 109: 72
e) None of these
8) Find the difference between the total number of vegetarian burgers in shop B to that of non – vegetarian burgers in shop A?
a) 180
b) 155
c) 125
d) 210
e) None of these
9) Total number of burgers in shop A is approximately what percentage more/less than the total number of burgers in shop C?
a) 65 % less
b) 40 % more
c) 65 % more
d) 40 % less
e) 25 % less
10) Find the difference between the average number of vegetarian burgers in shop A and B together to that of non – vegetarian burgers in the same shops?
a) 130
b) 180
c) 220
d) 250
e) None of these
Answers :
1) Answer: b)
Mani’s share = Rs. 3570
Naveen’s share = 3570*(4/5) = Rs. 2856
85 % of the total profit = [3570 + 2856]
Total profit = (6426/85)*100 = Rs. 7560
2) Answer: a)
Total work = 15*8 = 120 work
4 days work = 15*4 = 60 work
Remaining work = 120 – 60 = 60 work
Required days = 60/12 = 5 days
3) Answer: d)
Amount = P*(1 + (R/100))n
33708 = 30000*(1 + (6/100))n
33708 = 30000*(106/100)n
33708/30000 = (53/50)n
2809/2500 = (53/50)n
(53/50)2 = (53/50)n
n = 2 years
4) Answer: d)
Area of square = 784 Sq m
Side of the square = 28 m
Length of the rectangle = 28 + 8 = 36 m
Breadth of the rectangle= 28 – 5 = 23 m
Area of the rectangle = 36*23 = 828 Sq m
5) Answer: c)
The share of P, Q and R,
= > [1600*12]: [2100*8 + (2100 + 3x)*4]: [1500*8 + (1500 + 5x)*4]
= > 19200: (16800 + 8400 + 12x): (12000 + 6000 + 20x)
The ratio of total annual profit to R’s share = 3: 1
(62400 + 32x)/(18000 + 20x) = 3/1
= > 32x + 62400 = 60x + 54000
= > 28x = 8400
= > x = 300
So, Q’s investment after 8 months = 3x = 3*300 = Rs. 900
Directions (Q. 6 – 10):
Total number of burgers (Vegetarian + Non – vegetarian) = 1500
The ratio of total number of vegetarian to that of non – vegetarian burgers sold = 2: 3 (2x, 3x)
5x = 1500
x = 300
Total vegetarian burgers = 600, Total non – vegetarian burgers = 900
Total vegetarian burgers sold by shop A
= > The average number of burgers sold by all the given shops together – 25
= > (600/3) – 25 = 175
The ratio of total number of vegetarian burgers sold by shop A to that of non – vegetarian burgers sold by shop B = 5: 8
Total number of non – vegetarian burgers sold by shop B
= > (175/5)*8 = 280
The total number of vegetarian burgers sold by shop C
= > (4/7)*the total number of non – vegetarian burgers sold by shop B
= > (4/7)*280 = 160
Total vegetarian burgers sold by shop B
= > 600 – (175 + 160) = 265
Total number of non – vegetarian burgers sold by shop A and C
= > 900 – 280 = 620
A + C = 620 –Ã (1)
Total number of non – vegetarian burgers sold by shop A = The total number of non – vegetarian burgers sold by shop C + 220
A – C = 220 –à (2)
By solving the equation (1) and (2), we get,
A = 420, C = 200
| Shops | Vegetarian = 600 | Non – Vegetarian = 900 |
| A | 175 | 420 |
| B | 265 | 280 |
| C | 160 | 200 |
6) Answer: a)
Total number of vegetarian burgers in Shop A = 175
Total number of non – vegetarian burgers in shop C = 200
Required % = (175/200)*100 = 87.5 %
7) Answer: d)
The total number of burgers in shop B = 265 + 280 = 545
The total number of burgers in shop C = 160 + 200 = 360
Required ratio = 545: 360 = 109: 72
8) Answer: b)
The total number of vegetarian burgers in shop B = 265
The total number of non – vegetarian burgers in shop A = 420
Required difference = 420 – 265 = 155
9) Answer: c)
Total number of burgers in shop A
= > 175 + 420 = 595
Total number of burgers in shop C
= > 160 + 200 = 360
Required % = [(595 – 360)/360]*100 = 65 % more
10) Answer: a)
The average number of vegetarian burgers in shop A and B together
= > (175 + 265)/2 = 220
The average number of non – vegetarian burgers in shop A and B together
= > (420 + 280)/2 = 350
Required difference = 350 – 220 = 130
