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Sandeep spends 32% of his annual income on food, 20% of the remaining income on travelling, and 35% of the remaining income on clothes, and still saves ₹70,720 per year. What is the annual income (in ₹) of Sandeep?

  1. A
    4,50,000
  2. B
    5,44,000
  3. C
    2,00,000
  4. D
    3,75,000

Solution & Step-by-step Explanation

Let Sandeep's annual income be I.
Spending on food = 32% of I
Remaining income after food:

100%−32%=68% of I=0.68I
Spending on travelling = 20% of the remaining income
Remaining income after travelling:

(100%−20%) of 0.68I=80% of 0.68I=0.80×0.68I
Spending on clothes = 35% of the remaining income
Final remaining savings:

(100%−35%) of (0.80×0.68I)=65% of (0.80×0.68I)=0.65×0.80×0.68I
Given that the savings are ₹70,720:

0.65×0.80×0.68×I=70720
100
65

×
100
80

×
100
68

×I=70720
20
13

×
5
4

×
25
17

×I=70720
20×5×25
13×4×17

×I=70720
2500
884

×I=70720
I=
884
70720×2500


Dividing 70720 by 884:

70720÷884=80
I=80×2500=2,00,000
Sandeep's annual income is ₹2,00,000.

Practice this question

Try it yourself before checking the explanation above.

Sandeep spends 32% of his annual income on food, 20% of the remaining income on travelling, and 35% of the remaining income on clothes, and still saves ₹70,720 per year. What is the annual income (in ₹) of Sandeep?
A
4,50,000
B
5,44,000
C
2,00,000
D
3,75,000

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