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Q1. At a casino in Gurgaon, there are four table P, Q, R and S. the pay off at P is 15 : 1, at Q is 12 :1, at R is 18 : 1 and at S is 10 :1, If a man bets Rs 150 at each table and win at two of the table, what is the difference between maximum and minimum his earning ?
Q2. The Ratio of the density of 3 kinds of petrol A1, A2 and A3 is 13 : 17 : 19. The density of A1 is 39 gm/cc and A1, A2 and A3 are mixed in the ratio of 3 : 5 : 7 by weight. If a litre of A3 cost Rs. 38 then find the cost of A3 in 1050 kg of mixture of A1, A2 and A3
Q3. Find the value of x If (18x + 7) : (7x – 23) = (29x – 4) : (3x – 19)
(d) None of these
Q4. Two liquid are mixed in the ratio 5 :4 and the mixture is sold at Rs 35 with a loss of 22.22%. If the first liquid is costlier then the second by Rs 9. Find the sum of costs of both the Liquids:
Q5. The number of Apples in three Baskets are in the ratio of 5 : 7 : 11. In which Ratio the no. of Apples in first two baskets must be increased so that the new ratio becomes 6 : 9 : 7
(a) 16 : 25
(b) 19 : 45
(c) 39 : 25
(d) 31 : 50
Q6. Instead of dividing of Rs. 177.5 among P, Q, R in the ratio it was divided in the ratio 5 : 7 : 3 by mistake. Who gained most in this transaction?
(a) Only P
(b) Only Q
(c) Only R
(d) Both Q and R
Q7. An employer reduces the number of his employees in the ratio 11 : 9 and increases their wages in the ratio 19 : 23. If the original wage bill was Rs. 731.5, find the ratio in which the wage bill is decreased.
(a) 209 : 207
(b) 210 : 209
(c) 201 : 109
(d) 109 : 201
Q8. P and Q started a business in the ratio of 4 : 9. After 2 year Q left the business but P continues. After 3 years the total profit is Rs. 39000. What is the profit of Q?
(a) Rs. 20400
(b) Rs. 23000
(c) Rs. 25600
(d) Rs. 23400
Q9.A, B and C invest in a business in the ratio 3 : 6 : 5. A and C are working partners. Only B is a sleeping partner hence his share will be 3/4th of what it would have been if he were a working partner. If they make Rs 50,000 proﬁt, half of which is reinvested in the business and the other half is distributed between the partners, then how much does C get (in Rs)?
Q10. The sum of two numbers is 20 and their geometric mean is 20% lower than their arithmetic mean. Find the ratio of the numbers.
(a) 4 : 1
(b) 9 : 1
(c) 1 : 1
(d) 17 : 3
Sol. Maximum earning will be only when he will win on the maximum yielding table
P – 15 : 1
Q – 12 : 1
R – 18 : 1
S – 10 : 1
i.e. he won on P and R but lose on Q and S
15 × 150 + 18 × 150 – 2 × 150
Minimum earning will be when he won on table Q and S and Lose on P and R
∴ (12 + 10) 150 – 2 × 150
Therefore, difference = 4650 –3000
Sol. If we assume the numbers as 16 and 4 based on 4 : 1 (in option a), the AM would be 10 and the GM = 8 a difference of 20% as stipulated in the question. Option (a) is correct.
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