Income and Expenditure Problems

Percentage Sheet -2

• Ratio of income to expenditure is 5:2. Saving percentage is 60%.
• Monika spends 72% of her income. If her income increases by 20% and savings increase by 15%, her expenditure increases by 20.8%.
• Raghav spends 80% of his income. If his income increases by 12% and savings decrease by 10%, his expenditure increases by 17.5%.
• Anu spends 68% of her monthly income. If her monthly income increases by 20% and her monthly savings increase by 98%, her monthly expenditure increases by 20%.
• A man spends 72% of his income. If his income increases by 28% and his expenditure increases by 25%, his savings decrease by 30.9%.
• Sudha saves 15% of her income. If her expenditure increase by 20% and savings increase by 60%, her income increases by 35%.
• Sahil spends 87.5% of his income. If his income increases by 11% and his expenditure increases by 14.28%, his current saving percentage is 12.5%.
• Sonu saves 15% of her income. If her income increases by 20% and she still saves the same amount, her expenditure increases by 22.8%.
• The monthly expenses of a person are 66% more than her monthly savings. If her monthly income increases by 44% and her monthly expenses increases by 60%, there is an increase of ₹1,040 in her monthly savings. Initial expenditure is ₹12,000.
• Anil's income is ₹45,000. He saves 16% of his income. If his income decreases by 5% and expenditure increases by 2%, his savings decrease by 2%.

Percentage Sheet -2 (Page 2)

• A person's monthly expenses are 66% more than her monthly savings. If her monthly income increases by 44% and her monthly expenses increase by 60%, there is a ₹1,040 increase in monthly savings. Initial expenditure is ₹9,000.
• Raju saves 15% of his income. His salary increases by 18% so he increases his savings by 20%. If his expenditure after salary increase was ₹1,32,500, his savings before salary increase was ₹26,500.
• Anil's income is ₹45,000. He saves 16% of his income. If his income decreases by 5% and expenditure increases by 2%, his savings decrease by 2,996.
• Ramesh saves 26% of his monthly salary. When his expenses increase by 20%, he saves Rs 4,080 per month. His monthly salary is Rs 35,000.
• P and Q's salaries together amount to Rs 640000. P saves 60% and Q 40% of their individual salaries. If their expenditure is the same, then ratio of P's salary to Q's salary is 4:3.

Percentage Sheet -2 (Page 3)

• The sum of salaries of A and B is ₹43000. A spends 95% of his salary and B spends 80% of his salary. If their savings are the same, A's salary is ₹10600.
• A's income is 60% less than that of B, and A's expenditure is 60% of B's expenditure. If A's income is 70% of B's expenditure, the ration of A and B's savings is 3:8.
• A's income is 80% of B's income and the expenditure of A is 60% of B's expenditure. If A's income is 90% of B's expenditure, A's savings are 125% more than B's savings.
• P's income is 250% of Q's income, and P's expenditure is 180% of Q's expenditure. If P's income is 400% of Q's expenditure, then the ratio of P's savings to Q's savings is 4:1.
• The sum of incomes of A and B is ₹165000. A spends 70% of his income and B spends 80% of his income. If A's saving is 25% more than B's, difference between their incomes is Rs 15000.
• Amala's income is 20% more than Bimala's and 20% less than Kamala's. If Kamala's income decrease by by 4% and Bimala's by 10%, Kamala's income will increase by 29% more than Bimala's.
• When an individual's income tax is ₹0.08, their net income is Rs309580. If the individual income tax increases to ₹0.12, their net income will decrease to Rs 296120.

Percentage Sheet -2 (Page 4)

• A person's monthly expenses are 66% more than her monthly savings. If her monthly income increases by 44% and her monthly expenses increase by 60%, there is a ₹1,040 increase in monthly savings. Initial expenditure is ₹10000.
• There is 26.4% sugar in a 28 liter solution of sugar and water. After boiling 6 liter water gets evaporated, the percentage of sugar in the solution is 30.8%.
• In a village, 42% of the men and 24% of the women are married. Assuming no man marries more than one woman, the percentage of total adult population that is unmarried is 72.16%.
• A village's population was 9800. In a year, males increased by 8% and females by 5%, the population became 10458. Before increase, there were 5600 males.

Percentage Sheet -2 (Page 5)

• If a person's present age is 20 years and 18 years in the future, the percentage difference between their present ages is 20.5%.
• In an examination, 92% of students passed and 480 students failed. The number of students who appeared is 6200.
• Karuna scored 434 and Aditi 336 marks in an examination. If Karuna scored 62%, then Aditi scored 46.5%.
• If 35% is passing marks and a student scores 200 marks yet fails by 24 marks, the maximum marks are 680.
• A scored 30% marks and failed by 50 marks, another student who scored 42% marks got 58 more than the minimum passing marks. The pass marks are 270.

Percentage Sheet -2 (Page 6)

• A candidate fails by 21 marks from the minimum passing score while another scores 147 marks more, the difference in percentage is 40%. The maximum marks are 420.
• In a test, the minimum passing percentage for girls is 35% and boys is 40%. A boy scored 483 marks and failed by 117 marks. The minimum passing marks for girls is 360.
• 48% of the total marks are needed to pass an examination and 80% for first class distinction. A student got 817 marks and failed by 47 marks. The marks for first class distinction are 1500.
• A student got 66 marks more in French than German. Her German was 28% of the total of her French and German. French marks are 108.

Percentage Sheet -2 (Page 7)

• 60% of students are girls. There are 30 more girls than boys. 68% of students including 30 boys passed the exam. Percentage of girls who didn't pass is 18%.
• The sum of incomes of A and B is ₹165,000. A spends 70%, B 80% of income. If A's savings are 25% more than B's, then the difference between A's and B's income is 18000.
• The total marks for an examination are 900 and A scored 72%. If one more paper with 700 marks was given and A scored 80%, the overall combined percentage is 76%.

Percentage Sheet -2 (Page 8)

• In a school, the ratio of boys and girls is 7:5. 65% boys and 81% girls get scholarships. The percentage of students who didn't get a scholarship is 28%.
• 35% of the students in a school are girls. The rest are boys. Total students are 1400. 80% boys and 90% girls passed. The percentage of students who failed is 17.4%.

Percentage Sheet -2 (Page 9)

• The income of A is 40% more than that of B. If A's income rises by 25% and B's by 40%, the combined increase in income is 31.25%.
• Seema's savings are 16% of her expenditure. If her income rises by 35% and expenditure by 36%, savings decrease by 8.4%.
• A's income is 40% more than B's. A's income increases by 25%, B's by 40%. The combined income increases by 31.25%.

Percentage Sheet -2 (Page 10)

• A's grade is calculated by 30% internal tests, 30% assignments and 40% external exams. If a student scores 90% in internal tests, 95% in assignments and 75% in external exams, their overall grade is 86.25%.
• In an examination of 180 marks, 75% marks are allocated for theory and the rest for project work. Veena scored 60% in theory. To achieve 62% overall, she needed 68 marks in project work.
• A certain number of students from school X appeared. 20% failed. From school Y, there were 130% more students who appeared in the exam. If 90% of the total students passed, then the percentage of students who failed from school Y is 42.5%.

Percentage Sheet -2 (Page 11)

• Surbhi's savings are 16% of her expenditure. If her income increases by 35% and her expenditure by 38%, her savings decrease by 12.25%.
• A saves 35% of his income. His income increases by 20.1% and expenditure by 25%. His savings increase by 9%.
• A person saves 33% of their income. If savings increase by 22% and expenditure by 10%, the percentage increase in income is 18%.
• Geeta's saving is 28% of her expenditure. If expenditure increases by 17.4% and saving decreases by 5%, income increases by 18%.

Percentage Sheet -2 (Page 12)

• Forty percent of a company's employees are men, and 75% of these earn more than ₹38,000 per year. If 48% of the employees earn more than ₹38,000, the fraction of women earning ₹38,000 or less is 2/7.
• The number of boys and girls appearing for an exam are in the ratio 9:7. The ratio of passed boys and girls is 3:2. If 60% of the girls passed, then the percentage of boys who passed is 70%.
• In a class of students, 60% are girls and 30 more girls than boys. 68% of the students, including 30 boys, passed the exam. The percentage of girls who didn't pass is 18%.

Percentage Sheet -2 (Page 13)

• A number is first increased by 5% and then by 15%. The original number increased by 19.75%.
• An AC's price increases by 16%, then decreases by 22%. The net percentage change in final price is a decrease of 9.52%.
• The price of a leather bag increases by 15%, then decreases by 15%. The net percentage decrease in price is 2.25%.
• A person's income first increases by 25% and then decreases by 25%. The new income is 93.75% of the original income.
• A number first decreases by 28%, then increases by 28%. The resulting number is 784 less than original. The original number is 10,000.

Percentage Sheet -2 (Page 14)

• The production of AB Co. increases by 10% in one year, and then by 22% in the next and 5% in the third year from the original production. The overall change is 41.2%.
• The price of coffee increases by 35%, and then decreases by 20%. The consumption of coffee decreases by 4.5%. The percentage change in expenditure decreases by 4.15%.
• Dinesh purchased a new car for ₹7,00,000 in April 2019. In April 2022, depreciation cost was sold. If the rate of depreciation for the first year is 20%, the next year 15% and then 10%, the selling price is ₹5, 28, 400.
• A motorcycle depreciates by 4% every year. The present price is ₹75,000. After two years, the value is 70,120.

Percentage Sheet -2 (Page 15)

• A city's population increased by 12% in one year, decreased by 12% in the next, and increased by 10% in the third year, reaching 10842 at the end of that third year. The initial population is closest to 8,000.
• In a town, the population increases by 8% in first year, by 5% increase in the following year, then a 5% decrease will need to take place in the third year for the population to be 56,763. The initial population is closest to 51000.
• The price of petrol increases by 8% each time (on 1 April and 1 September), reaching Rs. 96.39. The price on 1 January was ₹86.

Percentage Sheet -2 (Page 16)

• A city's population increased by 5%, 2%, and 6%. If the population at the end of three years is 56,763, the initial population is closest to 51000.
• The ratio of boys and girls in an exam was 9:7. The ratio of passed boys and girls was 3:2. 60% of the girls passed. The percentage of the boys passing was 64%.
• A village's population in 2010 was 125000 in 2010. If it increased by 2.5% in 2011 and 3% in 2012 and then decreased by 1% in 2013, the population in 2013 was approximately 12669.

Percentage Sheet -2 (Page 17)

• Bacteria in a lab culture, initially 8 x 10⁸, have a birth rate of 12.75% per hour and a death rate of 10.75%. After 3 hours, the population is 92,664,000.
• An initial population of 500,000 with a yearly increase of 4% over three years results in a final population of 562432.
• To obtain a new population of 1,250,000 with an annual birth rate of 12.7% and annual death rate of 2.7%, the increase after three years is approximately 43,285.

Percentage Sheet -2 (Page 18)

• A machine depreciates at 12% per year. If its current value is ₹1,16,160, its value 2 years ago was ₹1,30,000.
• The population of a country has been decreasing at 1% every decade. If the projected population in 2030 is 19,40,598, the population in 2000 is 20,00,000.
• A mask manufacturing company manufactures 'X' number of masks in 2018. This capacity increases by 30% in 2019 then 15% in 2020. In 2021 due to a machinery breakdown it declined by 40%. If 179400 masks were manufactured in 2021, then X = 170,000.

Percentage Sheet -2 (Page 19)

• In a city, the population increases by 5%, 2%. and 6% in the first, second, and third years, respectively. If the population at the end of the third year is 56,763, the initial population was 53,000.
• The price of petrol increases by 8% on April 1st, 2022 from January 1st, 2022 price. Then increases again by 5% on September 30th, 2022. If the price on September 30th, 2022 was ₹96.39 per litre, the price on January 1st, 2022 is ₹85.
• In a town, the population increases by 5% in the first year, decreases by 4% in the next, and increases by 8% in the third year. The final population of 55,12,248 implies an initial population of 56,23,012.
• Population rises by 41%, 92,000 in first and second years, then decreases by 10% in the third year and is 3 times the initial population. The initial population is approximately ₹20,000.
• In a three-year period, the strength of a school rose by 12%, fell by 12%, and then rose by 10%. The end result was 10842. The initial student strength was 9,600.

Percentage Sheet -2 (Page 20)

• During 3 years, a number has first been incremented by 8%, then decremented by 3%. If the result is 2619, then 5% of the original number is 130.
• The population of a village is first increased by 5.5%, then decreases by 2%, and increases by 10% in three consecutive years. If the population after these three years is 109,832 more, the starting population is closest to 7,80,000.
• A number increases by 15% then reduces by 15%, yielding 782. By reducing by 25%, increasing by 25%, then reducing by 20%, the resulting number will be 4250.
• If the price of one gram of gold coin first decreases by 10%, then increases by 20%, increases by 8%, and increases by 5% to 5511.24, then the initial price is ₹4500.

Percentage Sheet -2 (Page 21)

• A city population has increases by 16%, decreases by 37.5% then increases by 57%. If the final population is 275,000, then the initial population is 200,000.
• If a person's income is 31,25,000 in 2019, and 2017 income was 20,00,000. The growth rate is approximately 18%.
• A washing machine depreciates from ₹40960 to 21970 in 3 years. This implies an annual depreciation rate of approximately 18.75%.
• An employee Ramu's salary rises by 26%, then decreases by 2550, and then increases by 12.5%. If his current salary is ₹15300, his initial income was ₹12750.

Percentage Sheet -2 (Page 22)

• The price of a bottle is first increased by 15%, then decreased by 24%. The net percentage change is a 7.35% decrease.
• If each side of a rectangle increases by 22%, its area increases by 48.84%.
• A movie ticket's price increases by 12% and ticket sales by 8%. The percentage increase in income is 22.0625%.
• The length of a rectangle increased by 13% and the breadth decreased by 8%. The percentage change in area decreased by 1.2%.

Percentage Sheet -2 (Page 23)

• The length of a rectangle is 65m and breadth is 48m. If the length increases by 20% and breadth decreases by 10%, then the area of the rectangle decreases by 4.06%.
• If the radius of a sphere decreases by 48%, then its surface area decreases by 86.26%.
• A cylinder's radius and height increase by 3% each. The approximate change in volume will be approximately 9.27%.
• If the radius of a circle increases by 15%, then its area will increase by approximately 31.25%.

Percentage Sheet -2 (Page 24)

• The population increases by 44% in year 1 and then 75% in year 2. The average rate of increase is approximately 59.5%.
• If a number first increases by 8%, then decreases by 3% and then gets 2619, 5% of the number is 135.

Percentage Sheet -2 (Page 25)

Test your understanding of income and expenditure ratios with this quiz. Solve problems that involve calculating savings, expenditure increases, and income changes based on percentage differences. Enhance your financial literacy through practical scenarios.