Ratio, Proportion
- Tea worth ₹ 126 kg and ₹ 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . If the mixture is worth ₹ 153 per kg, the price of the third variety per kg will be ?
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Let the cost of third variety tea will be ₹ N per kg
According to the question,
(126 + 135 + 2N)/4 = 153Correct Option: C
Let the cost of third variety tea will be ₹ N per kg
According to the question,
(126 + 135 + 2N)/4 = 153
⇒ (261 + 2N) = 4 x 153
⇒ 2N = 612 - 261 = 351
∴ N = 351/2 = 175.50
⇒ N = ₹ 175.5
Hence, the cost of third variety tea is ₹ 175.50 per kg .
- in a mixture of 60 L the ratio of acid and water is 2 : 1. If the ratio of acid and water is to be 1 : 2, then the amount of water (in liters) to be added to the mixture is ?
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Quantity of acid in the mixture = (2/3) x 60 = 40 L
Quantity of water in the mixture = (1/3) x 60= 20 L
Let the required quantity of water be x L.
According to the question,
40/(20+ x) = 1/2Correct Option: B
Quantity of acid in the mixture = (2/3) x 60 = 40 L
Quantity of water in the mixture = (1/3) x 60= 20 L
Let the required quantity of water be x L.
According to the question,
40/(20+ x) = 1/2
⇒ 80 = 20 + x
⇒ x = 60 L
- Out of 120 applications for a post, 70 are males and 80 have a driver's licences . What is the ratio between the minimum to maximum number number of males having driver's license ?
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Since there are 70 males out of 120 applicants, there must be 50 females out must have For the minimum number of males to have a driver's licence all 50 females must have a driver's license.
Correct Option: C
Since there are 70 males out of 120 applicants, there must be 50 females out must have For the minimum number of males to have a driver's licence all 50 females must have a driver's license Thus the number of males having a driver's licence will be 80 - 50 = 30. The maximum possible number of males having a driver's license is 70. The ratio between the minimum and the maximum is 30 : 70 or 3 : 7 .
- Number of employees in a factory decreases in the ratio of 8 : 7 and salary of employees increases in the ratio of 5 : 6 . Find whether the total salary given to the employee is increasing or decreased and in What ratio ?
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Let total number of employees in beginning = 8K and total number of employees in present = 7K
Let salary of an employee in beginning = 5L and salary of an employee in present = 6L
∴ Total salary in beginning = 8K x 5L = 40KL
and total salary in present = 7K x 6L = 42 KLCorrect Option: C
Let total number of employees in beginning = 8K and total number of employees in present = 7K
Let salary of an employee in beginning = 5L and salary of an employee in present = 6L
∴ Total salary in beginning = 8K x 5L = 40KL
and total salary in present = 7K x 6L = 42 KL
Required ratio = 40KL : 42KL = 20 : 21
Clearly, salary is increased.
- Brother A and B had some saving in the ration 4 : 5. They decided to buy a gift for their sister, sharing the cost in the ratio 3 : 4, After they bought, A spent two- third of his amount, while B is left with ₹ 146, Then the value of the gift is ?
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let the saving of A and B are 4M , 5M and the share in cost of gift are 3N, 4N respectively
According to the question
for A, 4M - 3N = (2/3) x 4M
For B 5M - 4N = 145Correct Option: C
let the saving of A and B are 4M , 5M and the share in cost of gift are 3N, 4N respectively
According to the question
for A, 4M - 3N = (2/3) x 4M
⇒ M = 9N/4.............(i)
For B 5M - 4N = 145
⇒ 5 x (9N/4) - 4N = 145 [by Eq. (i)]
∴ N = 20
∴ Cost of gift = 3N + 4N = 7 x 20 = ₹ 140
