Q1. The price of three types of tea leaves A, B, and C are respectively Rs. 5, Rs. 6 and Rs. 8 per 100 grams. In what ratio should they be mixed so that the price of the mixture is Rs. 68 per kg?
(a) 2:3:5
(b) 4:7:11
(c) 17:8:6
(d) Cannot be determined
(e) None of these
Q2. In a pot there is 500 litres milk. 50 litres of milk is taken out and same amount of water is poured into it. Again 50 litres of mixture is taken out and same amount of water is poured into it. How much milk will be left finally?
(a) 308
(b) 408
(c) 403
(d) 405
(e) None of these
Q3. There is 1000 litres milk in a pot. 100 litres of milk is taken out and same amount of water is poured into it. Again 200 litres of mixture is taken out and same amount of water is poured into it and finally 400 litres of mixture is taken out and same amount of water is poured into it then what is the amount of milk in the resulting mixture?
(a) 408
(b) 536
(c) 432
(d) 439
(e) None of these
Q4. Ram, Shyam and Mohan invested Rs. 54,000, Rs. 36,000 and Rs. 7,200 respectively in a business. At the end of the year there was a profit of Rs. 13,500. Find the profit of Mohan
(a) 5000
(b) 1000
(c) 7500
(d) 1500
(e) None of these
Q5. Mayank, Manoj and Mohan invested Rs. 54,000, Rs. 36,000 and Rs.7,200 respectively in a business. At the end of the year there was a profit of Rs. 13,500 if Mayank invested for 6 months, Manoj invested for 12 months and Mohan invested for 30 months they what is the Profit of Mayank?
(a) 6500
(b) 4200
(c) 4500
(d) 7500
(e) None of these
Q6. A, B and C start a business by investing Rs. 1,36,000 and A invests Rs. 20000 more than B while C invests Rs. 4000 less than B. If they earn a profit of Rs. 51, 000 at the end of the year then find dividend of A.
(a) 22500
(b) 28000
(c) 27500
(d) 29500
(d) None of these
Q7. If 5 times of A’s capital, 4 times of B’s capital and 7 times of C’s capital are equal then what will be the ratio of their profits if the capital has been invested for same duration?
(a) 28:35:20
(b) 28:35:10
(c) 28:25:20
(d) 18:35:20
(e) None of these
Q8. Three milk man A, B and C hire a pasture in Rs. 2670. A grazes 4 cows and 3 calves for 5 days, B grazes 5 cows and 4 calves for 3 days while C grazes 6 cows and 5 calves for only 2 days. If one cow grazes three times of a calf, then how much rent will B have to pay.
(a) 846
(b) 856
(c) 755
(d) 855
(e) None of these
Q9. Om, Jain and Jagdish start a business together. Om invests Rs. 5,000 for whole year. Jai invests Rs. 3,000 initially but increases it to 4,000 after 4 months. Jagdish invests Rs. 7,000 initially but takes Rs. 4, 000 back after 8 months. If their total profit at the end of the year is Rs. 34, 400 then what is dividend of Jai?
(a) 9800
(b) 8800
(c) 10800
(d) 7800
(e) None of these
Q10. Ram, Krishna and Ganesh started a business by investing capital in the ratio 5 : 4 : 3. Three months later Ram took back 2/5 of his capital; four months later Krishna took back ¼ part of his capital while Ganesh invested 1/3 part of his initial capital again. After 9 months there was a total profit of Rs. 1920 in the business, then who got the maximum profit and how much?
(a) Ram ,660
(b) Krishna ,660
(c) Ganesh, 660
(d) Ram and Ganesh ,660
(e) None of these
Directions (11-15): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer accordingly.
Q11.
I. 8x+y=10
II. 4x+2y=13
(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(e) if x = y or relation cannot be established between ‘x’ and ‘y’.
Q12.
I. (x+3) (y+2) = 12
II. 2xy+4x+5y=11
(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(e) if x = y or relation cannot be established between ‘x’ and ‘y’.
Q13.
I. (3x-2)/y =(3x+6)/(y+16)
II.(x+2)/(y+4) =(x+5)/(y+10)
(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(e) if x = y or relation cannot be established between ‘x’ and ‘y’.
Q14.
I. x2+20x+4=50-25x
II. y2-10y-24=0
(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(e) if x = y or relation cannot be established between ‘x’ and ‘y’.
Q15.
I. (x^2-10x+16)/(x^2 -12x +24) =2/3
II. y2-y-20=0
(a) if x > y
(b) if x < y
(c) if x ≥ y
(d) if x ≤ y
(e) if x = y or relation cannot be established between ‘x’ and ‘y’.
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