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Class 10 (SSC Board)Mathematics & Statistics2026-27 Syllabus

Chapter 4 Financial Planning Problem Set 4B Solutions

Complete Maharashtra State Board Balbharati & Yuvakbharati textbook solutions for Chapter 4 Financial Planning Problem Set 4B. Step-by-step solved exercises, numerical problems, and digest answers.

9 Solved Questions• 2 Diagrams• 1706 words

Problem Set 4B Algebra 10th Std Maths Part 1 Answers Chapter 4 Financial Planning

Financial Planning Class 10 Problem Set 4b
Question 1.
Write the correct alternative for the following questions.

i. If the Face Value of a share is ₹ 100 and Market value is ₹ 75, then which of the following statement is correct?
(A) The share is at premium of ₹ 175
(B) The share is at discount of ₹ 25
(C) The share is at premium of ₹ 25
(D) The share is at discount of ₹ 75
Answer:
(B)

ii. What is the amount of dividend received per share of face value ₹ 10 if dividend declared is 50%.
(A) ₹ 50
(B) ₹ 5
(C) ₹ 500
(D) ₹ 100
Answer:
Dividend = 10 × = ₹ 5
(B)

iii. The NAV of a unit in mutual fund scheme is ₹ 10.65, then find the amount required to buy 500 such units.
(A) 5325
(B) 5235
(C) 532500
(D) 53250
Answer:
(A)

iv. Rate of GST on brokerage is _______
(A) 5%
(B) 12%
(C) 18%
(D) 28%
Answer:
(C)

v. To find the cost of one share at the time of buying the amount of Brokerage and GST is to be ______ MV of share.
(A) added to
(B) subtracted from
(C) Multiplied with
(D) divided by
Answer:
(A)

Problem Set 4b Algebra Class 10 Question 2. Find the purchase price of a share of FV ₹ 100 if it is at premium of ₹ 30. The brokerage rate is 0.3%.
Solution:
Here, Face Value of share = ₹ 100,
premium = ₹ 30, brokerage = 0.3%
MV = FV + Premium
= 100 + 30
= ₹ 130
Brokerage = 0.3% of MV
= × 130 = ₹ 0.39
Purchase price of a share = MV + Brokerage
= 130 + 0.39
= ₹ 130.39
Purchase price of a share is ₹ 130.39.

Question 3 Maharashtra Board Solution
Prashant bought 50 shares of FV ₹ 100, having MV ₹ 180. Company gave 40% dividend on the shares. Find the rate of return on investment.
Solution & Step-by-Step Answer:
Here, Number of shares = 50, FV = ₹ 100, MV = ₹ 180, rate of dividend = 40% ∴ Sum invested = Number of shares × MV = 50 × 180 = ₹ 9000 Dividend per share = 40% of FV = × 100 Dividend = ₹ 40 ∴ Total dividend on 50 shares = 50 × 40 = ₹ 2000 ∴ Rate of return on investment is 22.2%.

Question 4 Maharashtra Board Solution
Find the amount received when 300 shares of FV ₹ 100, were sold at a discount of ₹ 30.
Solution & Step-by-Step Answer:
Here, FV = ₹ 100, number of shares = 300, discount = ₹ 30 MV of 1 share = FV – Discount = 100 – 30 = ₹ 70 ∴ MV of 300 shares = 300 × 70 = ₹ 21,000 ∴ Amount received is ₹ 21,000.
Question 5 Maharashtra Board Solution
Find the number of shares received when ₹ 60,000 was invested in the shares of FV ₹ 100 and MV ₹ 120.
Solution & Step-by-Step Answer:
Here, FV = ₹ 100, MV = ₹ 120, Sum invested = ₹ 60,000 ∴ Number of shares received were 500.

Question 6 Maharashtra Board Solution
Smt. Mita Agrawal invested ₹ 10,200 when MV of the share is ₹ 100. She sold 60 shares when the MV was ₹ 125 and sold remaining shares when the MV was ₹ 90. She paid 0.1% brokerage for each trading. Find whether she made profit or loss? and how much?
Solution & Step-by-Step Answer:
For purchasing shares: Here, sum invested = ₹ 10,200, MV = ₹ 100 For selling shares: 60 shares sold at MV of ₹ 125. ∴ MV of 60 shares = 125 × 60 = ₹ 7500 Brokerage = × 7500 = ₹ 7.5 ∴ Sale value of 60 shares = 7500 – 7.5 = ₹ 7492.5 Now, remaining shares = 102 – 60 = 42 But 42 shares sold at MV of ₹ 90. ∴ MV of 42 shares = 42 × 90 = ₹ 3780 ∴ Brokerage = × 3780 = ₹ 3.78 ∴ Sale value of 42 shares = 3780 – 3.78 = ₹ 3776.22 Total sale value = 7492.5 + 3776.22 = ₹ 11268.72 Since, Purchase value < Sale value ∴ Profit is gained. ∴ Profit = Sale value – Purchase value = 11268.72 – 10210.2 = ₹ 1058.52 ∴ Smt. Mita Agrawal gained a profit of ₹ 1058.52.
Question 7 Maharashtra Board Solution
Market value of shares and dividend declared by the two companies is given below. Face value is same and it is 7 100 for both the shares. Investment in which company is more profitable? i. Company A – ₹ 132,12% ii Company B – ₹ 144,16%
Solution & Step-by-Step Answer:
For company A: FV = ₹ 100, MV = ₹ 132, Rate of dividend = 12% Dividend = 12% of FV ∴ Rate of return of company B is more. ∴ Investment in company B is more profitable.
Question 8 Maharashtra Board Solution
Shri. Aditya Sanghavi invested ₹ 50,118 in shares of FV ₹ 100, when the market value is ₹ 50. Rate of brokerage is 0.2% and Rate of GST on brokerage is 18%, then How many shares were purchased for ₹ 50,118?
Solution & Step-by-Step Answer:
Here, FV = ₹ 100, MV = ₹ 50 Purchase value of shares = ₹ 50118, Rate of brokerage = 0.2%, Rate of GST = 18% Brokerage = 0.2% of MV ∴ 1000 shares were purchased for ₹ 50,118.
Question 9 Maharashtra Board Solution
Shri. Batliwala sold shares of ₹ 30,350 and purchased shares of ₹ 69,650 in a day. He paid brokerage at the rate of 0.1% on sale and purchase. 18% GST was charged on brokerage. Find his total expenditure on brokerage and tax.
Solution & Step-by-Step Answer:
Total amount = sale value + Purchase value = 30350 + 69650 = ₹ 1,00,000 Rate of Brokerage = 0.1 % Brokerage = 0.1 % of 1,00,000 = × 1,00,000 = ₹ 100 Rate of GST = 18% ∴ GST = 18 % of brokerage = × 100 ∴ GST = ₹ 18 Total expenditure on brokerage and tax = 100 + 18 = ₹ 118 ∴ Total expenditure on brokerage and tax is ₹ 118.

Alternate Method:
Brokerage = 0.1 %, GST = 18%
At the time of selling shares:
Total sale amount of shares = ₹ 30,350
Brokerage = 0.1% of 30,350

For purchasing shares:
Total purchase amount of shares = ₹ 69,650
Brokerage = 0.1% of 69,650
= × 69650
= ₹ 69.65
GST = 18% of 69.65
= × 69.65
= ₹ 12.537
∴ Total expenditure on brokerage and tax = Brokerage and tax on selling + Brokerage and tax on purchasing
= (30.35 + 5.463) + (69.65 + 12.537)
= ₹ 118
∴ Total expenditure on brokerage and tax is ₹ 118.

Question 10 Maharashtra Board Solution
Sint. Aruna Thakkar purchased 100 shares of FV 100 when the MV is ₹ 1200. She paid brokerage at the rate of 0.3% and 18% GST on brokerage. Find the following – i. Net amount paid for 100 shares. ii. Brokerage paid on sum invested. iii. GST paid on brokerage. iv. Total amount paid for 100 shares.
Solution & Step-by-Step Answer:
Here, FV = ₹ 100, Number of shares = 100, MV = ₹ 1200 Brokerage = 0.3%, GST = 18% i. Sum invested = Number of shares × MV = 100 × 1200 = ₹ 1,20,000 ∴ Net amount paid for 100 shares is ₹ 1,20,000.

ii. Brokerage = 0.3% of sum invested
= × 1,20,000 = ₹ 360
∴ Brokerage paid on sum invested is ₹ 360.

iii. GST = 18% of brokerage
= × 360 = ₹ 64.80
∴ GST paid on brokerage is ₹ 64.80.

iv. Total amount paid for 100 shares
= Sum invested + Brokerage + GST
= 1,20,000 + 360 + 64.80
= ₹ 1,20,424.80
∴ Total amount paid for 100 shares is ₹ 1,20,424.80.

Question 11 Maharashtra Board Solution
Smt. Anagha Doshi purchased 22 shares of FV ₹ 100 for Market Value of ₹ 660. Find the sum invested. After taking 20% dividend, she sold all the shares when market value was ₹ 650. She paid 0.1% brokerage for each trading done. Find the percent of profit or loss in the share trading. (Write your answer to the nearest integer)
Solution & Step-by-Step Answer:
For purchasing shares: Here, FV = ₹ 100, MV = ₹ 660, Number of shares = 22, rate of brokerage = 0.1% Sum invested = MV × Number of shares = 660 × 22 = ₹ 14,520 Brokerage = 0.1 % of sum invested = × 14520 = ₹ 14.52 ∴ Amount invested for 22 shares = Sum invested + Brokerage = 14520 + 14.52 = ₹ 14534.52 For dividend: Rate of dividend = 20% ∴ Dividend per share = 20 % of FV ∴ Percentage of profit in the share trading is 1 % (nearest integer).

Alternate Method:
For purchasing share:
Here, FV = ₹ 100, MV = ₹ 660, Number of shares = 22, rate of brokerage = 0.1%
Sum invested = MV × Number of shares
= 660 × 22
= ₹ 14,520
Brokerage = 0.1 % of MV
= × 660 = ₹ 0.66
Amount invested for 1 share = 660 + 0.66
= ₹ 660.66
For dividend:
Rate of dividend = 20%
Dividend = 20% of FV = × 100 = ₹ 20
For selling share:
MV = ₹ 650, rate of brokerage = 0.1%
Brokerage = 0.1 % of MV
= × 650 = ₹ 0.65 100
Amount received after selling 1 share
= 650 – 0.65 = 649.35
∴ Amount received including divided
= selling price of 1 share + dividend per share
= 649.35 + 20
= ₹ 669.35
Since, income > Amount invested
∴ Profit is gained.
∴ profit = 669.35 – 660.66 = ₹ 8.69
Profit Percentage = × 100= 1.31%
∴ Percentage of profit in the share trading is 1 % (nearest integer).

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Chapter 4 Financial Planning Problem Set 4A
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Chapter 5 Probability Practice Set 5.1