An employer reduces the number of his employees in the ratio 9 :

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31.

An employer reduces the number of his employees in the ratio 9 : 8 and increases their wages in the ratio 14 : 15. If the original wage bill was ₹ 18,900, find the ratio in which the wage bill is decreased.

  • 20 : 21

  • 21 : 20

  • 20 : 19

  • 20 : 19


B.

21 : 20

Let original number of employees = 9x,
      Present number of employees = 8x
Let the original wages be 14y
           Present wages be 15y
Orginal wage bill  = (9x) x (14y) = 126xy
Present wage bill = (8x) x (15y) = 120xy
So, wage bill ratio, Orginal : Present = 126xy : 120xy = 21 : 20
Thus, the wage bill is decreased in the ratio = 21 : 20

Shortcut Method:
Required ratio = 9 x 14 : 8 x 15 = 21 : 20

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32.

There is a ratio of 5 : 4 between two numbers. If 40 percent of the first is 12, then 50% of the second number is

  • 12

  • 24

  • 18

  • 18

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33.

The students in three classes are in the ratio 4 : 6 : 9. If 12 students are increased in each class, the ratio changes to 7 : 9 : 12. Then the total number of students in the three classes before the increase is

  • 95

  • 76

  • 100

  • 100

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34.

₹ 864 is divided among A, B and C such that 8 times A's share is equal to 12 times B's share and also equal to 6 times C's share. How much did B get?

  • ₹ 399

  • ₹ 192

  • ₹ 288

  • ₹ 288

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35.

The population of a town is 3,11,250. The ratio between women and men is 43 : 40. If there are 24% literate among men and 8% literate among women, the total number of literate persons in the town is

  • 41,800

  • 48,900

  • 56,800

  • 56,800

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36.

Annual income of Amit and Veeri are in the ratio 3 : 2, while the ratio of their expenses is 5 : 3. If at the end of year each saves ₹ 1,000, the annual income of Amit is

  • ₹ 9,000

  • ₹ 8,000

  • ₹ 7,000

  • ₹ 7,000

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37.

If A : B = 2 : 3,  B : C = 4 : 5  and C : D = 5 : 9, then A : D is equal to

  • 11 : 17

  • 8 : 27

  • 5 : 9

  • 5 : 9

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38.

Rs. 1050 are divided among A, B and C in such a way that the share of A is 2 over 5 of the combined share of B and C. A will get

  • Rs. 200

  • Rs. 300

  • Rs. 320

  • Rs. 320

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39.

If A : B = 2 : 3  and B : C = 3 : 7, then A + B : B + C : C + A is

  • 4 : 8 : 9

  • 5 : 8 : 9

  • 5 : 10 : 9

  • 5 : 10 : 9

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40.

If left parenthesis straight x cubed space minus space straight y cubed right parenthesis thin space colon thin space left parenthesis straight x squared plus xy plus straight y squared right parenthesis space equals space 5 space colon space 1 and left parenthesis straight x squared minus straight y squared right parenthesis thin space colon left parenthesis straight x minus straight y right parenthesis space equals space 7 space colon space 1, then the ratio 2x : 3y equals

  • 4 : 1

  • 2 : 3

  • 4 : 3
  • 4 : 3
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