Q. 15 men or 20 women can complete a task in 108 (1\/3) days, while 25 men and 75 women together can complete it in P days. Deepak can do an assignment in (1.5P \u2013 10) days, while Deepa can do the same assignment in 0.8P days. They started the work together and after Q days Deepak left, the remaining assignment completed by Deepa in 7 days. Find the value of P is how much percentage more or less than that of Q.<\/p>\n\n\n\n
A.400%<\/p>\n\n\n\n
B.250% <\/p>\n\n\n\n
C.300% <\/p>\n\n\n\n
D.200%<\/p>\n\n\n\n
E. None of these<\/p>\n\n\n\n
Sol:<\/p>\n\n\n\n
Let efficiency of a man and a woman = a
units\/day and b units\/day respectively.
Now, 15a x 325\/3 = 20b x 325\/3
So, a\/b = 4\/3
So, total work = 15 x 4 x 325\/3 = 6500 units
So, value of P = 6500 \/ (25 x 4 + 75 x 3) = 20
days
Now, time taken by Deepak to complete the
assignment = 1.5 x 20 \u2013 10 = 20 days
Time taken by Deepa = 80% of 20 = 16 days
Let the total work = 80
Efficiency of Deepak = 80\/20 = 4 units\/day
Efficiency of Deepa = 80\/16 = 5 units\/day
Now,
(4 + 5) x Q + 5 x 7 = 80
9Q = 45<\/p>\n\n\n\n
So, value of Q = 45\/9 = 5 days
Required percentage change = (20 \u2013 5)\/5 x 100
= 300%
Hence answer is option C<\/p>\n","protected":false},"excerpt":{"rendered":"
Q. 15 men or 20 women can complete a task in 108 (1\/3) days, while 25 men and 75 women together can complete it in P days. Deepak can do an assignment in (1.5P \u2013 10) days, while Deepa can do the same assignment in 0.8P days. They started the work together and after Q […]<\/p>\n","protected":false},"author":419,"featured_media":162626,"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-162623","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\/162623","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=162623"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162623\/revisions"}],"predecessor-version":[{"id":162627,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/162623\/revisions\/162627"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/162626"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=162623"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=162623"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=162623"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}