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Mixture and solutions 1. In what ratio must a mixture of 30 % alcohol strength be mixed with that of 50% alcohol strength strength so as to get a mixture of 45% 45% alcohol strength? strength? B. 1: 3 A. 1 ! ". ! 1 #. 3 1 !. A sho$ee$er bought &0 g of sugar at the rate of 's. 13.50 $er g. (e mixed it with 1!0 g of sugar costing 's. 1) $er g. In order to mae a $ro*t of !0%+ he must sell the mixture at A. Rs. 18 per kg ,. 's. 1- $er g ". 's. 1) 1).40 .40 $er g #. 's. 15 $er g 3. !00 litres of a mixture contains 15 % water and the rest is mil. he amount of mil that must be added so that the resulting mixture contains &-.5% mil is A. 30 litres ,.35 litres ". 40 litres #. 45 litres 4. !00 litres of a mixture contains mil and water in the ratio 1- 3. After the addition of some more mil to it+ the ratio of mil to water in the resulting mixture mixture becomes - 1. he /uantit of mil added to it was A. !0 litres ,. 40 litres ". )0 litres #. &0 litres 5. A essel contains mil and water in the ratio 3!. he olume of the contents is increased b 50% b adding water to it. 2rom this resultant solution 30 is withdrawn and then re$laced with water. he resultant ratio of mil water in the *nal solution is 3-. 2ind the original olume of the solution. A. 80L ,. )5 ". -5 #. &! ). A !0 litre mixture mixture of mil and water contains mil and water in the ratio 3 !. 10 litres of the mixture is remoed and re$laced with $ure mil and the o$er o$erat atio ion n is re$ea e$eate ted d once once mor more. At the the end end of the the two two remo emoal al and and re$lacement+ re$lacement+ what is the ratio of mil and water in the resultant mixture? B. 9 : 1 A. 1- 3 ". 3 1#. 5 3 -. 2rom a cas of mil containing 30 litres+ ) litres are drawn out and the cas
is *lled u$ with water. If the same $rocess is re$eated a second+ then a third time+ what will be the number of litres litres of mil left in the cas? D. 15.36 liters A. 0.51! liters ,. 1! liters ". 14.3& liters &. In what ratio must a $erson mix three inds of tea costing 's.)0g+ 's.-5g and 's.100 g so that the resultant mixture when sold at 's.)g ields a $ro*t of !0%?
A. 1 ! 4 ,. 3 - ) C. 1 : 4 : 2 #. 6one of these . A sam$le of x litres from a container haing a )0 litre mixture of mil and water containing mil and water in the ratio of ! 3 is re$laced with $ure mil so that the container will hae mil and water in e/ual $ro$ortions. 7hat is the alue of x? A. ) litres B. 10 litres ". 30 30 li litr tres es #. 6one 6one of of these these 10. (ow man litres of a 1! litre mixture containing mil and water in the rati ratio o of ! 3 be re$la e$lace ced d with with $ur $ure mil mil so that that the the resul esulta tant nt mixt mixtur ure e contains mil and water in e/ual $ro$ortion? A. 4 litres B. 2 litres ". 1 litre #. 1.5 litres 11. A merchant mixes three arieties of rice costing 's.!0g+ 's.!4g and 's.30g and sells the mixture at a $ro*t of !0% at 's.30 g. (ow man gs of the second ariet will be in the mixture if ! gs of the third ariet is there in the mixture? B. 5 kgs A. 1 g " . 3 g s # . ) g s 1!. 3 L water is taken out from vessel full of water and substituted by pure milk. This process is repeated two more times. Finally, the ratio of milk and water in the solution becomes 172 !27. Find the volume of the ori"inal solution. B. 4L #. 3L $. %L &. 'L 1(. # trader has %) k" of pulses, part of which he sells at 1(* profit and rest at +* loss. n the whole his loss is (*. -ow much uantity is sold at 1(* profit and that at +* loss/ A. 5kg, 45kg 0. 1%k", 3%k" $. 1)k", ()k" &. one of these 1%. Two Two vellels # and 0 contain milk and water mied in the ratio ! % and % ! 2 respectively. The ratio in which these two mitures be mied to "et a new miture containin" milk and water in the ratio ' ! (/ C. 1 : 2 #. 2 ! 7 0. % ! 2 &. 2 ! 1