# Maharashtra Board Class 10 Math Part 1 Solution Chapter 4 Problem Set 4B Financial Planning

## Maharashtra Board Class 10 Math Part 1 Solution Chapter 4 Problem Set 4B – Financial Planning

Balbharati Maharashtra Board Class 10 Math Part 1 Solution Chapter 4: Financial Planning. Marathi or English Medium Students of Class 10 get here Financial Planning full Problem Set Solution.

 Std Maharashtra Class 10 Subject Math Part 1 Solution Chapter Financial Planning Problem Set 4B

### Problem Set 4B

(1) Write the correct alternative for the following questions.

(1) If the Face Value of a share is 100 and Market value is 75, then which of the following statements 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

Solution:

If the Face Value of a share is ₹100 and Market value is ₹75, then which of the following statements is correct?

(B) The share is at discount of ₹25

(2) What is the amount of dividend received per share of face value ₹10 and dividend declared is 50%.

(A) ₹50

(B) ₹5

(C) ₹500

(D) ₹100

Solution:

What is the amount of dividend received per share of face value ₹10 and dividend declared is 50%.

(B) ₹5, 50/100 × 10 = 5

(3) 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

Solution:

The NAV of a unit in mutual fund scheme is ₹10.65 then find the amount required to buy 500 such units.

(A)  5325, 10.65×500 = 5325

(4) Rate of GST on brokerage is…..

(A) 5%

(B) 12%

(C) 18%

(D) 28%

Solution:

Rate of GST on breaking is

(C) 18%

(5) To find the cost of one share at the time of buying the amount of Brokerage and GST is to be . . . the MV of share.

(B) substracted from

(C) Multiplied with

(D) Divided by

Solution:

To find the cost of a share at the time of buying the amount of GST and Brokerage is to be —- the MV of the share.

(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:

Given, FV = ₹100

Brokerage rate = 0.3%

∴ MV = FV + premium

= 100 + 30

= ₹130

Brokerage payable = 0.3/100 × 130

= ₹0.39

∴ Total money payable = 120 + 0.39

= ₹130.39

(3) 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:

Given FV = ₹100 total shares = 50

MV = ₹180 divided rate = 40%

∴ Total sum invested = MV×total shares

= 180 × 50

= ₹9000

Dividend per share = dividend rate/100 × F.V

= 40/100 × 100

= ₹40

Total dividend = 40×total shares

= 40×50 = ₹2000

∴ rate of return = total dividend/sum invested × 100

= 2000/9000 × 100

= 200/9 = 22.2%

(4) Find the amount received when 300 shares of FV 100, were sold at a discount of 30.

Solution:

Given, F.V = ₹100

Total shares = 30

discount per share = ₹30

∴ MV = F.V – discount

= 100 – 30

= ₹70

∴ Total amount received = 70 × 300

= ₹21000

(5) Find the number of shares received when ₹60,000 was invested in the shares of FV ₹100 and MV ₹120.

Solution:

Given, FV = ₹100 amount invested

MV = ₹120 = ₹60000

∴ Total shares bought = amount invested/F.V

= 60000/120

= ₹500

(6) 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:

Total amount invested = ₹10200

MV for 60 shares = ₹100

Brokerage rate = 0.1

∴ Brokerage per share for 60

Shares = 0.1/100 × 100

= ₹0.1

∴ Brokerage for 60 shares = 0.1 × 60

= ₹6

∴ Total sum received for 60 shares

= 6000 + 6

= ₹6006

Now, for remaining 90 shares

MV = ₹125

∴ Total sum = 125×90

= ₹11250

Brokerage per share = 0.1/100×125

= ₹0.125

∴ Brokerage for 90 share = 0.125×90

= ₹11.25

∴ Total sum received for 90 shares

= 11250 + 11.25

= ₹11261.25

∴ Total sum received for all shares

= 11261.25 + 6006

= ₹17267.25

The profit she made is = 17267.25-10200

= ₹7067.25

(7) Market value of shares and dividend declared by the two companies is given below. Face Value is same and it is ₹100 for both the shares. Investment in which company is more profitable?

(1) Company A – ₹132, 12%

(2) Company B – ₹144, 16%

Solution:

(1) For case I

FV = ₹100

M.V = ₹132

∴ dividend sum = 12/100 × 100 = ₹12

∴ rate of return = 12/132 × 100

= 9.09%

(2) For case (II),

F.V = ₹100

M.V = ₹144

Dividend % = 16%

∴ Dividend sum = 16/100 × 100

= ₹16

∴ rate of return = 16/144 × 100

= 11.11%

∴ rate of return for case (II) is more

Therefore, company B is more profitable.

(8) 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:

Given, F.V = ₹100 sum invested = ₹50118

M.V = ₹50

brokerage rate = 0.2%

rate of GST on brokerage = 18%

∴ Brokerage per share = 0.2/100 × 50

= ₹0.1

GST on brokerage per share

= 18/100×0.1

= ₹0.018

∴ COST of 1 share = MV + brokerage + GST on brokerage

= 50 + 0.1 + 0.018

= ₹50.118

∴ Total no. of shares bought = Total investment/Cost of 1 share

= 50118/50.118

= 1000

(9) 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:

Sum for selling shares = ₹30350

Sum for purchasing shares = ₹69650

Brokerage rate for selling & purchasing = 0.1%

Rate of GST on Brokerage = 18%

∴ Brokerage for selling = 0.1/100 × 30350

= ₹30.35

GST on brokerage = 18/100 × 30.35

= ₹5.463

Brokerage for purchasing = 0.1/100 × 69650

= ₹69.65

GST on brokerage = 18/100 × 69.65

= ₹12.537

∴ Total expenditure on brokerage

= 30.35 + 69.65

= ₹100

Total expenditure on GST = 5.463 + 12.53

= ₹18

∴ Total expenditure on both

= 18+100

= ₹118

(10) Smt. 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 –

(1) Net amount paid for 100 shares.

(2) Brokerage paid on sum invested.

(3) GST paid on brokerage.

(4) Total amount paid for 100 shares.

Solution:

Given, FV = ₹100 total shares = 100

MV = ₹1200

Brokerage = 0.3%. GST on brokerage

= 18%

(1) ∴ Net amount paid for 100 shares

= 1200 × 100

= ₹120000

(2) Brokerage paid on the sum invested

= 0.3/100 × 120000

= ₹360

(3) GST on brokerage = 18/100 × 360

= ₹64.8

(4) Total amount paid for 100 shares

= Sum invested + brokerage + GST

= 120000 + 360 + 64.8

= ₹120424.8

(11) 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:

Given, total shares bought = 22

F.V = ₹100

M.V when selling = ₹650

Dividend rate = 20%

Brokerage rate = 0%

Now, total money invested = 22 × 660

= ₹14520

Brokerage on buying = 0.1/100 × 1452

= ₹14.52

Dividend received per share = 20/100 × 100

= ₹20

= ₹440

Now, when selling MV = ₹650

∴ Total money received = 650×22

= ₹14300

Brokerage on selling = 0.1/100 × 14300

= ₹14.3

∴ Total brokerage = 14.3 + 14.52

= ₹28.82

Now, total money invested = 14520

= sum received + dividend – brokerage

= 14300 + 440 – 28.82

= 14740 – 28.82

= ₹14711.88

∴ Smt. Anagha made a profit of

= 14711.88 – 14520

= ₹191.18

∴ % of profit = 191.18/14520 × 100

= 1.31%

= 1%

Updated: December 28, 2021 — 12:02 pm