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Total salary of three persons A,B and C is Rs. 1,44,000. They spend 80%, 85% and 75% respectively. If their savings are in the ratio 8: 9: 20, find C’s salary. - Mathematics

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MCQ

Total salary of three persons A, B and C is Rs. 1,44,000. They spend 80%, 85% and 75% respectively. If their savings are in the ratio 8: 9: 20, find C’s salary.

Options

  • 48000

  • 64000

  • 40000

  • 32000

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Solution

64000

Explanation:

Let the salary of A, B, and C be x, y and z respectively after spending 80%, 85%, and 75%.

A has`=(20"x")/100,` B has`=(15"y")/100` and C has`=(25"z")/100`

Let their saving be 8a, 9a and 20a.

`(20"x")/100=8"a","x"=(8"a")/20xx100=40"a"`

`(15"y")/100=9"a","y"=(9"a")/15xx100=60"a"`

`(25"z")/100=20"a","z"=(20"a")/25xx100=80"a"`

Now, x + y + z = 144000

i.e. 40a + 60a + 80a = 144000

180a = 144000

a = 800

C's salary z = 80a = 800 × 80 = 64000

Concept: Ratio and Proportion (Entrance Exam)
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