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Made bySaurav Hathi

[Intermediate Practice] Quant - Ratio & Proportion v3

Q1:

Raj rented an office and the rent of the office is split into two parts, a fixed monthly rent and the electricity which varies directly with number of units consumed. For the first month, Raj consumed 100 units and paid a rent of Rs 5500. Next month he consumed 150 units and paid a bill of Rs 5750. Find the fixed montly rental of office?

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Q2:

If5a3  =  7b4  =  11c5  =  4a + 9b + 6ck, then what will be the value of k?

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Q3:

Incomes of John and Kelvin are in the ratio 4:7 and their spending are in the ratio 6:11. If John saves 13rd of his income then what will be the ratio of their savings?

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Q4:

Rs.5130 is divided among P, Q, R and S, such that 3 times P’s share equals 4 times Q’s share equals 5 times R’s share equals 6 times S’s share. Find share of S?

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Q5:

A cake was cut into two pieces in ratio 2: 3, the bigger of the two is further cut in the ratio of 3: 4. Find the ratio of three of pieces.

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Q6:

If x is one more than 3 times of ‘a’ and y is 7 less than twice of ‘a’ and z is 3 less than a. If 6 times square of z is 7 less than xy, then find the value of ‘a’.

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Q7:

If yz:zx:xy = 1 : 2 : 3, then find xyz  :  yzx.

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Q8:

A grocer buys coffee at Rs 7 /kg and chicory at Rs 3 /kg and gains 50% by selling the mixture at Rs 7.50 /kg. How much chicory was there in one kg of the mixture?

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Q9:

An object 1.6m long casts a shadow 1.4 m long. At the same time another object kept nearby casts a shadow 6.2 m long. Find length of second object.

Assume that the shadow of the object is directly proportional to the length of the object.

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Q10:

A bag contains one rupee coins, fifty paisa coins and twenty-five paisa coins in the ratio 5: 6: 8. If the total amount in the bag is Rs.200. Find the number of one-rupee coins.

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Q11:

A and B have books in the ratio of 3 : 4, while B and C have books in the ratio 3 : 2. If the total number of books with  three of them is 232, then find the ratio of books A have in all.

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Q12:

An object 1.6m long casts a shadow 1.4 m long. At the same time another object kept nearby casts a shadow 6.2 m long. Find length of second object.

Assume that the shadow of the object is directly proportional to the length of the object.

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Q13:

2 liters of water is added to every 5 liters of alcohol and thus 49 liters of mixture is made. As the concentration of alcohol was not up to the desired slandered further 15 liters of alcohol was added to the mixture. Find the ratio of alcohol in the mixture.

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Q14:

Cumulative score of A, B and C in an examination is 4913 out of  6000 such that if they scored 27 ,29 and 41 marks less respectively then their scores would be in ratio 5:7:4.Find the marks scored by C.

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Q15:

In a class there are N number of students where ratio of boys to girls is 6: 1. The ratio would  have been 9:1 if there are 6 more boys. Find the total number of students.

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