{"id":11945,"date":"2018-03-06T12:14:10","date_gmt":"2018-03-06T06:44:10","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=11945"},"modified":"2018-05-28T17:39:55","modified_gmt":"2018-05-28T12:09:55","slug":"cat-questions-on-installments","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/cat-questions-on-installments\/","title":{"rendered":"CAT Questions on Installments"},"content":{"rendered":"

CAT Questions on Installments:<\/strong><\/span><\/p>\n

Installments is one of the applications profit, loss and discount. In previous years in CAT exam, many times, the questions were being asked on Installments. So, we have provided some problems with solutions on Installments for CAT. This serves as a good practice set for CAT Exam preparation related to profit and loss topic.<\/p>\n

Download CAT Questions on Installments<\/a><\/p>\n

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Question 1:<\/strong> Rahul takes a loan of Rs 150000 at an interest rate of 20% compound interest, which is compounded annually. He agrees to pay three equal installments in three years, one installment at the end of every year. Find the value of each installment.<\/p>\n

a) Rs 71209
\nb) Rs 68349
\nc) Rs 76484
\nd) Rs 72904<\/p>\n

Question 2:<\/strong> A customer goes to a shop to purchase a car for Rs. 50,0000. The shopkeeper follows the following scheme. He offers a discount of 8% with a down payment of 50000 and 3 equal yearly installments and the rate of 20% pa. Find the value of the yearly installments.<\/p>\n

a) 185674
\nb) 189651
\nc) 194637
\nd) 174342<\/p>\n

Question 3:<\/strong> Raj borrowed an amount of Rs. 18900 at an interest rate of 10% pa, compounded annually. He repaid the entire amount in two equal installments – first installment at the end of the first year and the other at the end of the second year. Find the value of each installment.
\na) Rs. 9450
\nb) Rs. 11430.5
\nc) Rs. 10890
\nd) Rs. 10017<\/p>\n

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Question 4:<\/strong> Slipkart, an online shopping portal, introduces two schemes for their customers, during a sale, on a washing machine whose price is Rs. 15000. In scheme 1 they sell the washing machine at 20% discount and in scheme 2 they sell it at a down payment of Rs. 5000 and three installments of Rs. 3000 payable at intervals of a year. Assuming that Slipkart invests its money at compound interest of 10% compounded anually, which offer is more profitable for them and by how much, at the end of three years?<\/p>\n

a) Scheme 1, Rs. 613
\nb) Scheme 2, Rs. 613
\nc) Scheme 1, Rs. 1226
\nd) Scheme 2, Rs. 1226<\/p>\n

Question 5:<\/strong> The compound interest offered on a sum of Rs 5000 is 8% calculated on a halfyearly basis for a period of 3 years. The borrower keeps paying back a sum of Rs 1000 at the end of every year. What is the amount that has to be paid at the end of the third year so as to clear all dues?<\/p>\n

a) Rs 4705.1
\nb) Rs 4170.5
\nc) Rs 4075.1
\nd) Rs 4570.1<\/p>\n

Solutions for\u00a0CAT Questions on Installments:<\/strong><\/span><\/p>\n

Solutions:<\/strong><\/p>\n

1) Answer (A)<\/strong><\/p>\n

Let the installment paid be x.
\nThe amount 150000 earns an interest for 3 years. So, the installments must also compensate for the interest.
\nThe first installment paid will earn an interest for 2 more years, the second installment paid will earn an interest for 1 more year and the last installment paid will earn not earn any interest.
\n=> $150000(1.2)^3 = x(1.2)^2 + x(1.2) + x$
\n=> $150000(1.2)^3 = 3.64x$
\n=> x = Rs 71209<\/p>\n

2) Answer (C)<\/strong><\/p>\n

Since there is a disount of 8% and a cash down payment of Rs 50000,
\nEffective price on which installments begin=92%ofRs5lakhs-Rs50000=Rs410000
\nLet the yearly installments be x
\nAfter one year,amount remaining after paying 1st installment= 1.2(410000)-x
\nAfter two years,amount remaining after paying 2nd installment=(1.2(1.2(410000)-x)-x)
\nSimilarly after 3 years amount remaining=1.2(1.2(1.2(410000)-x)-x)-x=0
\nx=Rs 194637<\/p>\n

Preparation tips for CAT – Beginners<\/a><\/p>\n

How to prepare for CAT by Self-Study<\/a><\/p>\n

3) Answer (C)<\/strong><\/p>\n

Let the value of the installments Raj paid be x.
\nTotal amount after 2 years = $18900 [1 + 0.1]^2$
\nHe pays the first installment at the end of the first year and the second at the end of the second year.
\nTherefore,
\n$18900 [1 + 0.1]^2$ = $x [1 + 0.1] + x$
\n18900 * 1.21 = 2.1x
\nx = 10890<\/p>\n

4) Answer (B)<\/strong><\/p>\n

In\u00a0Scheme 1<\/strong>\u00a0the washing machine will be sold at 20% discount, that is, for Rs. 12000.
\nThe money earned by Slipkart at the end of three years is
\n$=12000\\times(1.1)^{3}=15972$
\nIn\u00a0Scheme 2<\/strong>\u00a0Slipkart earns interest on 5000 for 3 years, 3000 for 2 years, 3000 for 1 year and no interest on the final 3000.
\nThe money earned by Slipkart at the end of three years is
\n$=5000\\times(1.1)^{3}+3000\\times(1.1)^{2}+3000\\times(1.1)+3000=16585$
\nSo Slipkart earns Rs. 613 more in Scheme 2.<\/p>\n

5) Answer (C)<\/strong><\/p>\n

Rs 5000 at the end of three years amounts to
\n$5000*(1+4\/100)^6$ = Rs 6326.6
\nRs 1000 is paid at the end of the first year.
\nInterest incurred on this payment at the end of the 3 years = $1000*(1+4\/100)^4$ = Rs 1169.9
\nAnother installment of Rs 1000 is paid at the end of the second year
\nInterest incurred on this payment at the end of the 3 years = $1000*(1+4\/100)^2$ = Rs 1081.6
\nSo, amount that has to be paid at the end of the third year = 6326.6 – (1169.9 + 1081.6) = Rs 4075.1
\nSo, amount that has to be paid at the end of the third year so as to clear all dues = Rs 4075.1<\/p>\n

We hope this CAT Installments questions and answers are helpful to you.<\/p>\n

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CAT Questions on Installments: Installments is one of the applications profit, loss and discount. In previous years in CAT exam, many times, the questions were being asked on Installments. So, we have provided some problems with solutions on Installments for CAT. This serves as a good practice set for CAT Exam preparation related to profit […]<\/p>\n","protected":false},"author":21,"featured_media":11950,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[3,169,125],"tags":[422],"class_list":{"0":"post-11945","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-cat","8":"category-downloads","9":"category-featured","10":"tag-cat-2018"},"better_featured_image":{"id":11950,"alt_text":"CAT Questions on Installments","caption":"CAT Questions on Installments","description":"CAT Questions on 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