{"id":20432,"date":"2020-01-21T10:47:09","date_gmt":"2020-01-21T05:17:09","guid":{"rendered":"https:\/\/kseebsolutions.guru\/?p=20432"},"modified":"2021-07-02T15:28:12","modified_gmt":"2021-07-02T09:58:12","slug":"2nd-puc-basic-maths-question-bank-chapter-8-ex-8-1","status":"publish","type":"post","link":"https:\/\/kseebsolutions.guru\/2nd-puc-basic-maths-question-bank-chapter-8-ex-8-1\/","title":{"rendered":"2nd PUC Basic Maths Question Bank Chapter 8 Bill Discounting Ex 8.1"},"content":{"rendered":"

Students can Download Basic Maths Exercise 8.1 Questions and Answers, Notes Pdf, 2nd PUC Basic Maths Question Bank with Answers<\/a> helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.<\/p>\n

Karnataka 2nd PUC Basic Maths Question Bank Chapter 8 Bill Discounting Ex 8.1<\/h2>\n

Part – A and B<\/span><\/p>\n

2nd PUC Basic Maths Bill Discounting Ex 8.1 One or Two Marks Questions with Answers<\/strong><\/p>\n

Question 1.
\nA bill was drawn on 14-3-2013 for 3 months. When does the bill fall legally due?
\nAnswer:
\nL.D.D = DD + BP + 3 days
\n\"2nd
\n\u2234L.D.D is 17th<\/sup> June 2013<\/p>\n

\"KSEEB<\/p>\n

Question 2.
\nA bill drawn for 3 months was legally due on 18-8-2012. Find the date of drawing of the bill.
\nAnswer:
\nDrawn date = L.D.D – Bill period – 3days grace = 14 – 3 – 2013
\n= 18 – 8 – 2012
\n\"2nd
\n\u2234 Drawn date is 15th<\/sup> May 2012<\/p>\n

Question 3.
\nFind the present value of \u20b9 750 due 4 months hence at 15% p.a.
\nAnswer:
\nGiven
\nF = 750, T = 4 months = \\(\\frac{4}{12}\\), r= 15% = 0.15.
\n\"2nd<\/p>\n

Question 4.
\nFind the banker’s discount on a bill of \u20b9 415 due 9 months hence at 15% p.a.
\nAnswer:
\nGiven
\nF = 415, t = \\(\\frac{9}{12}\\) year,
\nr = 15% = 0.15
\nB.D = Ftr = 415 x \\(\\frac{9}{12}\\) \u00d7 0.15= 46.68.<\/p>\n

Question 5.
\nDefine Banker’s Gain.
\nAnswer:
\nBanker gain is difference between BD & TD i.e., BG = BD – TD<\/p>\n

Question 6.
\nDefine Banker’s Discount.
\nAnswer:
\nBanker’s Discount is the Simple interest calculated by the banker on the face value of the bill i.e., BD = Ftr<\/p>\n

Question 7.
\nFind the present value of 2320, due 2 years hence, at 8% per annum.
\nAnswer:
\nGiven F= 2320,t = 2years, r = 0.08, P = ?
\n\"2nd<\/p>\n

Question 8.
\nFind the BD on \u20b9 1015, payable after 3 months at 6% p.a.
\nAnswer:
\nGiven
\nF = 1015,
\nF=1015, t = \\(\\frac{3}{12}\\) year, r = \\(\\frac{6}{100}\\) = 0.06, BD = ?
\nBD = Ftr = 1015 x \\(\\frac{3}{12}\\) \u00d7 0.06 = 15.22<\/p>\n

\"KSEEB<\/p>\n

Question 9.
\nFind the true discount on \u20b9 1380, due 1\\(\\frac{1}{2}\\) years after, at 10% p.a.
\nAnswer:
\nGiven
\nF = \u20b9 1380, t = \\(\\frac{3}{2}\\) year , r = 10% = 0.1.
\n\"2nd<\/p>\n

Question 10.
\nTD on a bill was \u20b9 100 and BG was \u20b9 10. What is the face value of the bill?
\nAnswer:
\nGiven TD = 100, BG = 10, F = ?
\nBD = TD + BG = 100 + 10 = 110
\n\"2nd<\/p>\n

Question 11.
\nA banker pays \u20b9 2380 on a bill of \u20b9 2500, 73 days before the legal due date. Find the rate of discount charged by the banker.
\nAnswer:
\nGiven Discounted value = 2380, F = 2500
\nt = \\(\\frac{73}{365}=\\frac{1}{5}\\) year , r = ?
\nD.V. = F(1 – tr)
\n2380 = 2500 \\(\\left(1-\\frac{1}{5} r\\right)\\)
\n\\(\\frac{2380}{2500}=\\left(1-\\frac{r}{5}\\right)\\)
\n0.952 = 1 – \\(\\frac{r}{5}\\)
\n\\(\\frac{r}{5}\\) = 1 – 0.952 = 0.048
\n\u2234 r = 5 \u00d7 0.048 = 0.24 \u00d7 100 = 24%<\/p>\n

Question 12.
\nThe Banker’s discount and true discount on a sum of money due 3 months hence are \u20b9 154.50 and \u20b9 150 respectively. Find the sum of money and the rate of interest.
\nAnswer:
\nGiven BD = 154.5, t = \\(\\frac{3}{12}\\) , TD = 150, t = ? r = ?
\n\"2nd<\/p>\n

Question 13.
\nBD and BG on a certain bill due after sometime are 1250 and 350 respectively. Find the face value of the bill.
\nAnswer:
\nBD and BG on a
\nGiven
\nBD = 1250, BG = 50, F = ?
\nBG = BD – TD
\nTD = BD – BG = 1250 – 50 = 1200
\n\"2nd<\/p>\n

\"KSEEB<\/p>\n

Part – C<\/span><\/p>\n

2nd PUC Basic Maths Bill Discounting Ex 8.1 Three or Four Mark Questions with Answers<\/strong><\/p>\n

Question 1.
\nThe difference between banker’s discount and true discount on a bill due after 6 months at 4% interest p.a. is \u20b9 20. Find the true discount, banker’s discount and face value of the bill.
\nAnswer:
\nGiven
\nBG = \u20b9 20, r = 4% = 0.04, t = 6 Months = \\(\\frac{6}{12}=\\frac{1}{2}\\)
\nTD = ?, BD = ?, F = ?
\nW.K.T. = BG = TD. tr
\n20 = TD \\(\\frac{1}{2}\\) x 0.04
\n40 = 0.04 TD \u21d2 TD = \\(\\frac{40}{0.04}\\) = \u20b9 1000
\nBD = BG + TD; = 20 + 1000 = 1020
\n\"2nd<\/p>\n

Question 2.
\nThe BG on a certain bill due 6 months hence is \u20b9 10, the rate of interest being 10% p.a. find the face value of the bill and the true present value.
\nAnswer:
\nBG = 10, \u21d2 BD – TD = 10,t = \\(\\frac{6}{12}=\\frac{1}{2}\\)year, r= 10% = 0.1, F = ? P = ?
\nBG = TD.tr
\n10 = TD \u00d7 \\(\\frac{1}{2}\\) \u00d7 0.1
\nTD = \\(\\frac{20}{0.1}\\) = 200 ;
\nBD = TD + BG = 200 + 10 = 210.
\n\"2nd<\/p>\n

\"KSEEB<\/p>\n

Question 3.
\nA banker discounts a bill for a certain amount having 32 days to run before it matures at 15% p.a. The discounted value of the bill is \u20b9 995.90. What is the face value of the bill, banker’s discount, true discount and banker’s gain?
\nAnswer:
\nGiven t = \\(\\frac{32}{365}\\) year, r = 0.15, D.V = \u20b9995.90, F = ?, BD = ?, TD = ?, BG = ?
\nDiscounted Value = F(1 \u2013 tr), 995.90 = F ( 1 – \\( \\frac{32}{365}\\) \u00d7 0.05)
\n\"2nd
\nD= F – Discounted Value;
\n= 1009.017 – 995.90 = 13.117
\n\"2nd
\nBG = BD – TD = 13.117 – 12.948 = 0.169<\/p>\n

Question 4.
\nA bill for \u20b9 14,600 drawn at 3 months after date was discounted on 11-11-99 for \u20b9 14,320. If the discount rate is 20% p.a. on what date was the bill drawn?
\nAnswer:
\nGiven DV = 14320, F = 14,600, r=0.2,
\nDD = ?
\nW.K. Discounted value = F(1 \u2013 tr)
\n14320 14,320 = 14,600 (1 – 0.2t);
\n\\(\\frac{14320}{14600}\\) = 1-0.2t
\nt = 0.1 year = 0.1 ~ 365 = 36 days
\nL.D.D = 36 days + 11-11-99 = Dec. 17
\nDrawn date = L.D.D – BP – 3 grace days
\n\"2nd
\n\u2234Bill was drawn on October 14th 3<\/p>\n

Question 5.
\nA bill for \u20b9 2920 was drawn on September 11 for 3 months after date and was discounted at 16% p.a. for \u20b9 2875.20. On what date was the bill discounted?
\nAnswer:
\nGiven drawn date = 11th<\/sup> Sep., F = 2920, DV = 2875.20, r = 0.16
\nBD = F – Discounted value
\n= 2920 – 2875.20
\nBD = 44.8
\n& BD = Ftr.
\n44.8 = 2920 \u00d7 0.16 \u00d7 t
\n\"2nd
\nt = \\(\\frac{44.8}{2920 \\times 0.16}\\) = 0.0958 years = 0.0958 \u00d7 365 = 35 days
\nDiscounted date = L.D.D – Discount period = Dec. 14th<\/sup> \u2013 35 days = 9th<\/sup> November<\/p>\n

\"KSEEB<\/p>\n

Question 6.
\nA bill for \u20b9 3500 due for 3 months was drawn on 27 march 2012 and was discounted on 18 April 2012, at the rate of 7% p.a. Find the banker’s discount and discounted value of the bill.
\nAnswer:
\nGiven
\nF = 3500, r = 0.07, B.P = 3 Months
\nDD = 27th March 2012, Discounted on 18th<\/sup> April 2012; BD = ?, DV = ?
\nL.D.D = DD + BD + 3 grace days
\n\"2nd
\nt = No. of days from April 18th to 30th June
\n12 + 31 + 30 = 73 days =\\(\\frac{73}{365}\\) Year
\nDV = F(1 \u2013 tr) = 3500 1 – \\(\\frac{73}{365}\\) x 0.07)
\nDV = 3451.00;
\nBD = F – DV = 3500 – 3451 = \u20b9 49<\/p>\n

Question 7.
\nA bill for 12900 was drawn on 3 Feb 2004 at 6 months and discounted on 13 March 2004 at 8% p.a. For what sum was the bill discounted and how much did the banker gain in this transaction?
\nAnswer:
\nGiven
\nF = 12900, r = 0.08, BG = ?
\nL.D.D = DD + BP + 3days
\n\"2nd
\nt = No. of days from discounted date till LDD = 13 – 3 – 200 to 6 – 8 – 2004
\nMar. + Apr. + May + June + July + Aug
\n= 18 + 30 + 31 + 30 + 31 + 6 = 146 days = \\(\\frac{146}{865}\\)
\n\u2234OV = F(1 – tr)
\n= 12900 (1 – \\(\\frac{146}{365}\\) x 0.08
\n= 12900 (1 -0.032)
\nDV = 12487.2
\nBD = F – Discounted value
\n= 12900 – 12487.2 = 412.8
\nTD = \\(\\frac{B D}{1+t r}=\\frac{412.8}{1+0.032}\\) = 400
\nBG = BD – TD = 412.8 – 400 = \u20b9 12.8<\/p>\n

Question 8.
\nThe banker’s gain on a bill is \\(\\frac{1}{9}\\) th of the banker’s discount, rate of interest being 10% p.a. Find the unexpired period of the bill.
\nAnswer:
\nGiven BG = \\(\\frac{1}{9}\\)BD & r= 0.1
\n9(BD – TD) = BD
\n8BD = 9TD
\nBD 8BD=9. \\(\\frac{\\mathrm{BD}}{1+\\mathrm{tr} \\mathrm{r}}\\)
\n1+ tr = \\(\\frac{9}{8}\\) = 1.125
\ntr = 1.125 \u2013 1
\nt(0.1) = 0.125
\nt = \\(\\frac{0.125}{0.1}\\) = 1.25years
\nt = 1.25 \u00d7 12 = 15 months<\/p>\n

\"KSEEB<\/p>\n

Question 9.
\nA bill for \u20b9 2725.25 was drawn on 03-06-2010 and made payable 3 months after due date. It was discounted on 15-6-2010 at 16% per annum. What is the discounted value of the bill and how much did the banker gain?
\nAnswer:
\nGiven F = 2725.25, r = 0.16, DV = ?, BG = ?, DD = 03-6-2010, BP = 3 months
\n\u2234 L.D.D = DD + BD + 3days
\n= 6-9-2010.
\nt = No. of days from 15th<\/sup> June to 6th<\/sup> Sept = June + July + August + September
\n= 15 +31 +31 + 6 = 83 days = \\(\\frac{83}{365}\\) years
\nDiscounted value = F (1 – tr)
\n= 2725.25 (1 – \\(\\frac{83}{365}\\) \u00d7 0.16 = 2725.25 (1 – 0.036)
\nDV = 2627.14
\nBD = F – Discounted value = 2725.25 – 2627.14 = 98.10
\nTD = \\(\\frac{B D}{1+t r}=\\frac{98.10}{1.036}\\) = 94.69
\nBG = BD – TD = 98.10 – 94.69 = 3.41<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can Download Basic Maths Exercise 8.1 Questions and Answers, Notes Pdf, 2nd PUC Basic Maths Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations. Karnataka 2nd PUC Basic Maths Question Bank Chapter 8 Bill Discounting Ex 8.1 Part – A and B …<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[82],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/20432"}],"collection":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/comments?post=20432"}],"version-history":[{"count":0,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/20432\/revisions"}],"wp:attachment":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/media?parent=20432"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/categories?post=20432"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/tags?post=20432"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}