{"id":162949,"date":"2024-02-23T14:05:38","date_gmt":"2024-02-23T08:35:38","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=162949"},"modified":"2024-02-23T14:05:39","modified_gmt":"2024-02-23T08:35:39","slug":"study-the-following-information-carefully-and-answer-the-questions-give-below-total-amount-225000","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/study-the-following-information-carefully-and-answer-the-questions-give-below-total-amount-225000\/","title":{"rendered":"Study the following information carefully and answer the questions give below Total amount = 225000"},"content":{"rendered":"\n

Directions: Study the following information carefully and answer the questions give below: Total amount = 225000<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Total amount = 300000<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

1)\u00a0If Meena invested her amount on simple interest at 6% per annum for 4 years and her amount on compound interest at 5% per annum for two years, then find the difference between compound interest and simple interest earned by her.<\/p>\n\n\n\n

A.            Rs.5120<\/p>\n\n\n\n

B.            Rs.4980<\/p>\n\n\n\n

C.            Rs.4650<\/p>\n\n\n\n

D.            Rs.5730<\/strong><\/p>\n\n\n\n

E.            None of these<\/p>\n\n\n\n

Sol:<\/p>\n\n\n\n

Amount invested by Meena on simple interest =<\/p>\n\n\n\n

22\/100 x 225000 = Rs. 49500<\/p>\n\n\n\n

Amount invested by Meena on compound<\/p>\n\n\n\n

interest = 20\/100 x 300000 = Rs. 60000<\/p>\n\n\n\n

We know that,<\/p>\n\n\n\n

SI = (P x r x t)\/100<\/p>\n\n\n\n

= (49500 x 6 x 4)\/100<\/p>\n\n\n\n

= Rs. 11880<\/p>\n\n\n\n

We know that<\/p>\n\n\n\n

CI = P x (1 + r\/100)t \u2013 P<\/p>\n\n\n\n

= 60000 x (1 + 5\/100)2 \u2013 60000<\/p>\n\n\n\n

= 60000 x 105\/100 x 105\/100 \u2013 60000<\/p>\n\n\n\n

= 66150 \u2013 60000<\/p>\n\n\n\n

= Rs. 6150<\/p>\n\n\n\n

Required difference = 11880 \u2013 6150 = Rs. 5730<\/p>\n\n\n\n

2)\u00a0\u00a0Total amount received by Reena on simple interest at 8% per annum after 6 years will be approximately what percent of total amount received by Reena on compound interest at 10% per annum after 3 years?<\/p>\n\n\n\n

A.            172%<\/p>\n\n\n\n

B.            178%<\/p>\n\n\n\n

C.            169%<\/p>\n\n\n\n

D.            162%<\/p>\n\n\n\n

E.            148%<\/p>\n\n\n\n

Amount invested by Reena on simple interest =<\/p>\n\n\n\n

32\/100 x 225000 = Rs.72000<\/p>\n\n\n\n

Amount invested by Reena on compound<\/p>\n\n\n\n

interest = 15\/100 x 300000 = Rs.45000<\/p>\n\n\n\n

We know that amount on simple interest = (P x r<\/p>\n\n\n\n

x t)\/100 + P<\/p>\n\n\n\n

Total amount of Reena on simple interest =<\/p>\n\n\n\n

(72000 x 8 x 6)\/100 + 72000<\/p>\n\n\n\n

= 34560 + 72000<\/p>\n\n\n\n

= Rs.106560<\/p>\n\n\n\n

We know that amount on compound interest = p<\/p>\n\n\n\n

x (1 + r\/100)t<\/p>\n\n\n\n

Total amount of Reena on compound interest<\/p>\n\n\n\n

= 45000 x 110\/100 x 110\/100 x 110\/100<\/p>\n\n\n\n

= Rs.59895<\/p>\n\n\n\n

Required percentage = (106560\/59895) x 100 =<\/p>\n\n\n\n

177.91% = 178% approx.<\/p>\n\n\n\n

3)\u00a0If Tina invests 20% more amount in compound interest, then find the sum of her total amount on compound interest at 6% per annum after three years and total amount on simple interest at 5% per annum after 4 years?<\/p>\n\n\n\n

A.            Rs.123536.65<\/p>\n\n\n\n

B.            Rs.139591.44<\/strong><\/p>\n\n\n\n

C.            Rs.145231.36<\/p>\n\n\n\n

D.            Rs.165832.24<\/p>\n\n\n\n

E.            None of these<\/p>\n\n\n\n

Amount invested by Tina in compound interest =<\/p>\n\n\n\n

25\/100 x 300000 = Rs.75000<\/p>\n\n\n\n

Increased amount invested by Tina in compound<\/p>\n\n\n\n

interest<\/p>\n\n\n\n

= 75000 x 120\/100 = Rs.90000<\/p>\n\n\n\n

We know that amount in compound interest = p x<\/p>\n\n\n\n

(1 + r\/100)t<\/p>\n\n\n\n

Total amount of Tina in compound interest<\/p>\n\n\n\n

= 90000 x 106\/100 x 106\/100 x 106\/100<\/p>\n\n\n\n

= Rs.107191.44<\/p>\n\n\n\n

Amount invested by Tina in simple interest =<\/p>\n\n\n\n

12\/100 x 225000 = Rs.27000<\/p>\n\n\n\n

We know that amount in simple interest = (P x r<\/p>\n\n\n\n

x t)\/100 + P<\/p>\n\n\n\n

= (27000 x 5 x 4)\/100 + 27000<\/p>\n\n\n\n

= 5400 + 27000<\/p>\n\n\n\n

4)\u00a0\u00a0Find the respective ratio of simple interest to compound interest earned by Sona at 4% per annum after 3 years.<\/p>\n\n\n\n

A.            1107: 5133<\/p>\n\n\n\n

B.            2152: 3093<\/p>\n\n\n\n

C.            2625: 7804<\/strong><\/p>\n\n\n\n

D.            1123: 5321<\/p>\n\n\n\n

E.            None of these<\/p>\n\n\n\n

Amount invested by Sona on simple interest =<\/p>\n\n\n\n

14\/100 x 225000 = Rs.31500<\/p>\n\n\n\n

We know that<\/p>\n\n\n\n

SI = (P x r x t)\/100<\/p>\n\n\n\n

= (31500 x 4 x 3)\/100<\/p>\n\n\n\n

= Rs. 3780<\/p>\n\n\n\n

Amount invested by Sona on compound interest<\/p>\n\n\n\n

= 30\/100 x 300000 = Rs.90000<\/p>\n\n\n\n

We know that<\/p>\n\n\n\n

CI = P x (1 + r\/100)t \u2013 P<\/p>\n\n\n\n

= 90000 x (1 + 4\/100)3 \u2013 90000<\/p>\n\n\n\n

= 90000 x 104\/100 x 104\/100 x 104\/100 \u2013 90000<\/p>\n\n\n\n

= 101237.76 \u2013 90000<\/p>\n\n\n\n

= Rs.11237.76<\/p>\n\n\n\n

Required ratio = 3780: 11237.76 = 2625: 7804<\/p>\n\n\n\n

5)Total amount received by Leena on simple interest at 6% per annum after 4 years is approximately what percent more\/less than the total amount received by Leena on compound interest at 5% per annum after 2 years?<\/p>\n\n\n\n

A.            69% more<\/strong><\/p>\n\n\n\n

B.            55% more<\/p>\n\n\n\n

C.            69% less<\/p>\n\n\n\n

D.            55% less<\/p>\n\n\n\n

E.            32% more<\/p>\n\n\n\n

Amount invested by Leena on simple interest =<\/p>\n\n\n\n

20\/100 x 225000 = Rs.45000<\/p>\n\n\n\n

Amount invested by Leena on compound<\/p>\n\n\n\n

interest = 10\/100 x 300000 = Rs.30000<\/p>\n\n\n\n

We know that amount on simple interest = (P x r<\/p>\n\n\n\n

x t)\/100 + P<\/p>\n\n\n\n

= (45000 x 6 x 4)\/100 + 45000<\/p>\n\n\n\n

= 10800 + 45000<\/p>\n\n\n\n

= Rs.55800<\/p>\n\n\n\n

We know that amount on compound interest = p<\/p>\n\n\n\n

x (1 + r\/100)t<\/p>\n\n\n\n

= 30000 x (1 + 5\/100)2<\/p>\n\n\n\n

= 30000 x 105\/100 x 105\/100<\/p>\n\n\n\n

= Rs. 33075<\/p>\n\n\n\n

Required percentage = [(55800 \u2013 33075)\/33075]<\/p>\n\n\n\n

x 100<\/p>\n\n\n\n

= (22725\/33075) x 100<\/p>\n\n\n\n

= 68.707% more<\/p>\n\n\n\n

= 69% more<\/p>\n","protected":false},"excerpt":{"rendered":"

Directions: Study the following information carefully and answer the questions give below: Total amount = 225000 Total amount = 300000 1)\u00a0If Meena invested her amount on simple interest at 6% per annum for 4 years and her amount on compound interest at 5% per annum for two years, then find the difference between compound interest […]<\/p>\n","protected":false},"author":419,"featured_media":162952,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5138],"tags":[5139],"class_list":["post-162949","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162949","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=162949"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162949\/revisions"}],"predecessor-version":[{"id":162953,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162949\/revisions\/162953"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/162952"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=162949"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=162949"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=162949"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}