Question
In 2020, the expenditure of
person 'P' on food, travelling, and other expenses follows the ratio 7:10:5. In 2021, the expenditure on food and travelling increased by 20% and 25%, respectively, while the expenditure on other expenses decreased by 10%. Determine the approximate percentage increase in the total expenditure from 2020 to 2021.Solution
ATQ, Let the expenditure on food, travelling and others, in 2020 be Rs. '700k', Rs. '1,000k' and Rs. '500k', respectively. Total expenditure of 'P' in 2020 = 700k + 1,000k + 500k = Rs. 2,200k Expenditure on food in 2021 = (6/5) X 700k = Rs. 840k Expenditure on travelling in 2021 = (5/4) X 1,000k = Rs. 1,250k Expenditure on others in 2021 = 0.9 X 500k = Rs. 450k Total expenditure of 'P' in 2021 = 840k + 1,250k + 450k = Rs. 2,540k Required percent = [(2,540k - 2,200k) Ă· 2,200k] X 100 = (340/22) ~ 15%
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