Question

Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs 50 per metre and trouser material that costs him Rs 90 per metre. For every 2 metres of the trouser material he buys 3 metres of the shirt material. He sells the materials at 12% and 10% profit respectively. His total sale is Rs 36,600. How much trouser material did he buy?

Solution

Let the length of cloth for trousers = 2x metres

∴ The length of cloth for shirts = 3x metres
 Cost of trouser's cloth = 2x $cross times$ Rs 90
 = Rs 180 x
 Cost of shirt's cloth = 3x $cross times$ Rs 50
 = Rs 150 x
S.P. of trouser's cloth at 10% profit = Rs $<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

 = Rs 198 x
S.P. of shirt's cloth at 12% profit = Rs $112 over 100 cross times 150 x$

 = Rs 168x

∴                               Total S.P. = Rs 198x + Rs 168x
                                              = Rs 366x
But the total                      S.P. = Rs 36600

∴                                      366x = 36600
or                                          $x equals 36600 over 366$    [Dividing both sides by 366]
                                                = 100

∴ 2x = 2 $cross times$ 100 = 200
Thus, he bought cloth for trousers = 200 metres.

For Daily Free Study Material Join wiredfaculty

Linear Equations In One Variable

Some More Questions From Linear Equations in One Variable Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Location