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.
(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%
