The following bar graph shows the percentage breakup of a Sunil’s salary from…
2025
The following bar graph shows the percentage breakup of a Sunil’s salary from year 2012 to 2016. With the given information, find the following questions.
What approx. percentage of average money spend by Sunil on food to that of average money saved by him during all these years if his salary per annum was INR 5,00,000 [ Asked in Hexaware 2018] [ This test belongs to Plus Members of KNOWLEDGE GATE ]
- A.
65%
- B.
70%
- C.
68%
- D.
69%
Show answer & explanation
Correct answer: C
Concept: In a stacked bar chart where each segment is a percentage break-up of a fixed total (here, annual salary), a category's average absolute amount over several years equals (sum of that category's yearly percentages ÷ number of years) × fixed total. To compare two categories as a percentage of each other, divide one average amount by the other and multiply by 100.
Application:
Read the yearly percentage spent on food (the food-coloured segment) for each year: 2012 = 21%, 2013 = 13%, 2014 = 20%, 2015 = 10%, 2016 = 40%.
Sum these five values: 21 + 13 + 20 + 10 + 40 = 104%. Average food share = 104% ÷ 5 = 20.8% of the annual salary.
Annual salary = INR 5,00,000, so average money spent on food = 20.8% of 5,00,000 = INR 1,04,000.
Read the yearly percentage saved (the saving-coloured segment) for each year: 2012 = 35%, 2013 = 15%, 2014 = 50%, 2015 = 17%, 2016 = 35%.
Sum these five values: 35 + 15 + 50 + 17 + 35 = 152%. Average saving share = 152% ÷ 5 = 30.4% of the annual salary.
Average money saved = 30.4% of 5,00,000 = INR 1,52,000.
Required percentage = (average money on food ÷ average money saved) × 100 = (1,04,000 ÷ 1,52,000) × 100 ≈ 68.42%, which rounds to 68%.
Cross-check:
Working directly with the percentage figures instead of converting to rupees first gives the same result, since the common salary figure cancels out: (104 ÷ 152) × 100 ≈ 68.4%. Also, since the average food share (20.8%) is a little more than two-thirds of the average saving share (30.4%), the ratio should be a little above 66.7% (i.e. 2/3) — 68% is consistent with this quick sanity check.
