**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__

__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.**

**(A) Added to **

**(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.

(A) Added to

** **

** **

**(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

Premium = ₹30

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

∴ BMT. made a profit

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 buying = ₹660

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

Total dividend received = 20×22

= ₹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

Total money received

= 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%