Problem Set 6 Algebra 9th Std Maths Part 1 Answers Chapter 6 Financial Planning
i. For different types of investments what is the maximum permissible amount under section 80C of income tax ?
(A) ₹ 1,50,000
(B) ₹ 2,50,000
(C) ₹ 1,00,000
(D) ₹ 2,00,000
(A) ₹ 1,50,000
ii. A person has earned his income during the financial year 2017-18. Then his assessment year is….
(A) 2016 – 17
(B) 2018 – 19
(C) 2017 – 18
(D) 2015 – 16
Answer:
(B) 2018 – 19
Question 2
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Mr. Shekhar spends 60% of his income. From the balance he donates ₹ 300 to an orphanage. He is then left with ₹ 3,200. What is his income ?
Solution & Step-by-Step Answer:
Let the income of Shekhar be ₹ x. Shekhar spends 60% of his income. ∴ Shekhar’s expenditure = 60% of x ∴ Amount remaining with Shekhar = (100 – 60)% of x = 40% of x = × x = 0.4x From the balance left, he donates ₹ 300 to an orphanage. ∴ Amount left with Shekhar = 0.4x – 300 Now, the amount left with him is ₹ 3200. ∴ 3200 = 0.4x- 300 ∴ 0.4x = 3500 ∴ The income of Mr. Shekhar is ₹ 8750.
Question 3
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Mr. Hiralal invested ₹ 2,15,000 in a Mutual Fund. He got ₹ 3,05,000 after 2 years. Mr. Ramniklal invested ₹ 1,40,000 at 8% compound interest for 2 years in a bank. Find out the percent gain of each of them. Whose investment was more profitable ?
Solution & Step-by-Step Answer:
Mr. Hiralal: Amount invested by Mr. Hiralal in mutual fund = ₹ 2,15,000 Amount received by Mr. Hiralal = ₹ 3,05,000 ∴ Mr. Hiralal’s profit = Amount received – Amount invested = 305000 – 215000 = ₹ 90000 Mr. Hirala’s percentage of profit = × 100 = 41.86%
Mr. Ramniklal:
Question 4
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At the start of a year there were ₹ 24,000 in a savings account. After adding ₹ 56,000 to this the entire amount was invested in the bank at 7.5% compound interest. What will be the total amount after 3 years ?
Solution & Step-by-Step Answer:
Here, P = 24000 + 56000 = ₹ 80000 R = 7.5%, n = 3 years Total amount after 3 years = 80000 (1 + 0.075)3 = 80000 (1.075)3 = 80000 x 1.242297 = 99383.76 ∴ The total amount after 3 years is ₹ 99383.76.
Question 5
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Mr. Manohar gave 20% of his income to his elder son and 30% to his younger son. He gave 10% of the balance income as donation to a school. He still had ₹ 1,80,000 for himself. What was Mr. Manohar’s income ?
Solution & Step-by-Step Answer:
Let the income of Mr. Manohar be ₹ x. Amount given to elder son = 20% of x Amount given to younger son = 30% of x Total amount given to both sons = (20 + 30)% of x = 50% of x ∴ Amount remaining with Mr. Manohar = (100 – 50)% of x = 50% of x 50 = × 100 = 0.5 x He gave 10% of the balance income as donation to a school. Amount donated to school = 10% of 0.5x = × 0.5x = 0.05x ∴ Amount remaining with Mr. Manohar after donating to school = 0.5x – 0.05x = 0.45x Mr. Manohar still had 1,80,000 for himself after donating to school. ∴ 180000 = 0.45x ∴ ∴ The income of Mr. Manoliar is ₹4,00,000.
Question 6
Maharashtra Board Solution
Kailash used to spend 85% of his income. When his income increased by 36% his expenses also increased by 40% of his earlier expenses. How much percentage of his earning he saves now ?
Solution & Step-by-Step Answer:
Let the income of Kailash be ₹ x. Kailash spends 85% of his income. ∴ Kailash’s expenditure = 85% of x = × x = 0.85 x Kailash’s income increased by 36%. ∴ Kailash’s new income = x + 36% of x = x + × x = x + 0.36x = 1.36x Kailash’s expenses increased by 40%. ∴ Kailash’s new expenditure = 0.85x + 40% of 0.85x = 0.85x + × 0.85 × 100 = 0.85x + 0.4 × 0.85x = 0.85x (1 + 0.4) = 0.85x × 1.4 = 1.19x ∴ Kailash’s new saving = Kailash’s new income – Kailash’s new expenditure = 1.36x – 1.19x = 0.17x Percentage of Kailash’s new saving = × 100 = 12.5% ∴ Kailash saves 12.5% of his new earning.
Question 7
Maharashtra Board Solution
Total income of Ramesh, Suresh and Preeti is ₹ 8,07,000. The percentages of their expenses are 75%, 80% and 90% respectively. If the ratio of their savings is 16 : 17 : 12, then find the annual saving of each of them.
Solution & Step-by-Step Answer:
Let the annual income of Ramesh, Suresh and Preeti be ₹ x, t y and ₹ z respectively. Total income of Ramesh, Suresh and Preeti = ₹ 8,07,000 ∴ x + y + z = 807000 …(i) ∴ Savings of Ramesh = 25% of x = ₹ ..(ii) Savings of Suresh = 20% of y = ₹ …(iii) Savings of Preeti = 10% of z = ₹ …..(iv)
Ratio of their savings = 16 : 17 : 12
Question 8
Maharashtra Board Solution
Compute the income tax payable by following individuals. i. Mr. Kadam who is 35 years old and has a taxable income of ₹13,35,000. ii. Mr. Khan is 65 years of age and his taxable income is ₹4,50,000. iii. Miss Varsha (Age 26 years) has a taxable income of ₹2,30,000.
Solution & Step-by-Step Answer:
i. Mr. Kadam is 35 years old and his taxable income is ₹13,35,000. Mr. Kadam’s income is more than ₹ 10,00,000. ∴ Income tax = ₹1,12,500 + 30% of (taxable income -10,00,000) = ₹ 1,12,500 + 30% of (13,35,000 – 10,00,000) = 112500+ x 335000 100 = 112500+ 100500 = ₹ 213000 Education cess = 2% of income tax = x 213000 = ₹ 4260. Secondary and Higher Education cess = 1% of income tax = x 213000 100 = 2130 Total income tax = Income tax + Education cess + Secondary and higher education cess = 213000 + 4260 + 2130 = ₹ 2,19,390 ∴ Mr. Kadam will have to pay income tax of ₹ 2,19,390.
ii. Mr. Khan is 65 years old and his taxable income is ₹ 4,50,000. iii. Taxable income = ₹2,30,000 Maharashtra Board Class 9 Maths Chapter 6 Financial Planning Problem Set 6 Intext Questions and Activities
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