In a library the ratio of story books and other books is 7 : 2 a

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21.

In a library the ratio of story books and other books is 7 : 2 and there are 1512 story books. Due to the collection of some more story books the said ratio becomes 15 : 4. The number of story books collected is

  • 108

  • 100

  • 205

  • 205


A.

108

Story books  = 1512 
Other books ⇒ (2/7 x 1512) = 432
Let the additional story books be x.
According to the question,
    rightwards double arrow space space space fraction numerator 1512 plus straight x over denominator 432 end fraction space equals space 15 over 4
rightwards double arrow space 6048 space space plus 4 straight x space equals space 432 space cross times space 15 space equals space 6480

     rightwards double arrow space space 4 straight x space equals space 6480 space minus space 6048 space equals space 432
rightwards double arrow space space straight x space equals space 432 over 4 space equals space 108

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22.

A man divides his property so that his son's share to his wife's and wife's share to his daughter's are both as in the ratio 3 : 1. If the daughter gets ₹ 10,000 less than son, the value (in rupees) of the whole property is 

  • ₹ 16,250

  • ₹ 16,000

  • ₹ 18,250

  • ₹ 18,250

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23.

The third proportional of 12 and 18 is

  • 3

  • 6

  • 27

  • 27

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24.

Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are

  • 8, 12 and 16

  • 16, 24 and 32

  • 12, 18 and 24

  • 12, 18 and 24

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25.

Ram got twice as many marks in English as in Science. His total marks in English, Science and Maths are 180. If the ratio of his marks in English and Maths is  2 : 3, what are his marks in Science?

  • 30

  • 60

  • 72

  • 72

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26.

If ₹ 126.50 is divided among A, B and C in the ratio of 2 : 5 : 4, the share of B exceeds that of A by

  • ₹ 36.50

  • ₹ 35.50

  • ₹ 34.50

  • ₹ 34.50

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27.

If x runs are scored by A, y runs by B and z runs by C, then x : y = y : z = 3 : 2. If total number of runs scored by A, B and C is 342, the runs scored by each would be respectively.

  • 144, 96, 64

  • 162, 108, 72

  • 180, 120, 80

  • 180, 120, 80

221 Views

28.

₹ 900 is divided among A, B and C; the division is such that  of A's money =  of B's money =  of C's money. Find the amount (in ₹) received by A, B, C .

  • 300, 400, 200

  • 350, 450, 100

  • 200, 300, 400

  • 200, 300, 400

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29.

A and B earn in the ratio 2 : 1. They spend in the ratio 5 :3 and save in the ratio 4 : 1. If the total monthly savings of both A and B are ₹ 5,000 the monthly income of B is

  • ₹ 7,000

  • ₹ 14,000

  • ₹ 5,000

  • ₹ 5,000

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30.

The ratio of the sum of two numbers and their difference is 5 : 1. The ratio of the greater number to the smaller number is

  • 2 : 3

  • 3 : 2

  • 5 : 1

  • 5 : 1

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