Question
Suman spends 70% of her monthly income. Next month, her
income increased by 25% while her expenditure increased by 13%. Due to this, her monthly savings were increased by 'V'%. Find the value of 'V'. (Answer should be rounded off to two decimal points)Solution
Let the initial monthly income of Suman be Rs. '100s'. Monthly expenditure of Suman = 70% of 100s = (0.70) × 100s = Rs. '70s' Monthly savings of Suman = 100s - 70s = Rs. '30s' New monthly income of Suman = 125% of 100s = (1.25) × 100s = Rs. '125s' New monthly expenditure of Suman = 113% of 70s = (1.13) × 70s = Rs. '79.1s' New monthly savings of Suman = 125s - 79.1s = Rs. '45.9s' Increase in monthly savings = 45.9s - 30s = Rs. '15.9s' Required percentage = (15.9s/30s) × 100 ~ 53%
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