2007 MBA  Quantitive aptitude Question paper
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Quantitive aptitude
Problems Q1 If a radio is purchased for Rs 490 & sold for Rs 465.50 , Find the loss percent . (a) 5% (b) 6% (c) 7% (d) 8% Q2 A person incurs 5% loss by selling a watch for Rs 1140 . At what price should the watch be sold to earn 5% profit ? (a) 1260 (b) 1253 (c) 1254 (d) 1255 Q3 The C.P of 21 articles is equal to S.P of 18 articles . Find the gain or loss percent . (a) 4.17 % (b) 6 ( (c) 5 ( (d) none of these Q4 Rahul purchased a pressure cooker at 9/10 th of its selling price & sold it at 8% more than its S.P . Find her gain percent . (a) 20 % (b) 30 % (c) 40 % (d) none of these Q5 A dealer sold three fourth of his article at a gain of 20 % & remaining at cost price . Find the gain earned by him in the whole transaction . (a) 15 % (b) 20 % (c) 30 % (d) none of these Q6 If books bought at prices ranging from Rs 200 to Rs 300 are sold at prices ranging from Rs 300 to Rs 425 , what is the greatest possible profit that might be made in the selling eight books ? (a) 400 (b) 600 (c) cannot determine (d) none of these Q7 A shopkeeper purchased 70 kg of potatoes for Rs 420 & sold the whole lot at the rate of Rs 6.50 per kg . What will be the gain percent ? (a) 25 / 6 % (b) 25 / 4 % (c) 25 / 3 % (d) 20 % Q8 A sells an article which costs Rs 400 to B at a profit of 20 % , B then sells it to C , making a profit of 10 % on the price he paid to A . How much does C pay B ? (a) 472 (b) 476 (c) 528 (d) 532 Q9 When a plot is sold for Rs 18700 , the owner losses 15 % . At what price must the plot be sold in order to gain 15 % ? (a) 21000 (b) 22500 (c) 25300 (d) 25800 Q10 A shopkeeper sells one transistor for Rs 840 at a gain of 20 % & another for Rs 960 at a loss of 4 % . His total gain or loss percent is (a) 100/17 % loss (b) 100/17 % gain (c) 20/3 % (d) none of these Q11 If a loss is 1/3 of S.P , the loss percentage is (a) 50 / 3 % (b) 20 % (c) 25 % (d) 100 / 3 % Q12 On an order of 5 dozen boxes of a consumer product , a retailer receives an extra dozen free . This is equivalent to allowing him a discount of (a) 15 % (b) 97 / 6 % (c) 50/3 % (d) 20 % Q13 If on selling 12 notebooks , a seller makes a profit equal to the selling price of 4 notebooks , what is his percent profit ? (a) 50 / 3 (b) 25 (c) 50 (d) Data inadequate Q14 A man buys egg at 2 for Rs 1 & an equal number at 3 for Rs 2 & sell the whole at 5 for Rs 3 . His Gain or loss percent is (a) 16 / 7 % loss (b) 27 / 7 % gain (c) 23/7 % loss (d) 20/7 % gain Q15 By selling lemons for Rs 40 , a man losses 20 % . How many should he sell for Rs 24 to gain 20 % in the transaction ? (a) 16 (b) 18 (c) 20 (d) 22 Q16 A shopkeeper professes to sell his goods at cost price but uses a weight of 800 gm instead of 1 kg . Thus he makes a profit of ? (a) 20 % (b) 50 / 3 % (c) 25 % (d) none of these Q17 A grocer sells price at a profit of 10 % & & uses weight which are 20 % less than the market weight , The total gain earned by him will be ? (a) 30 % (b) 35 % (c) 37.5 % (d) none of these
Q18 If 5% more is gained by selling an article for Rs 350 than by selling it for 340 , the cost of the article is ? (a) 50 (b) 160 (c) 200 (d) 225 Q19 A shopkeeper sell an article at a loss of 25 / 2 % . Had he sold for Rs 51.80 more , he would have earned a profit of 6 % . The cost price of the article is ? (a) 280 (b) 300 (c) 380 (d) 400 Q20 A man sells two commodities for 4000 each , neither losing nor gaining in the deal . If he sold one commodity at a gain of 25 % , the other commodity is sold at a loss of ? (a) 50 / 3 % (b) 164 / 9 % (c) 25 % (d) none of these Q21 A man purchase sugar worth Rs 400 . He sold ¾ th a loss of 10 % & the remainder at the gain of 10 % , On the whole he gets ? (a) a loss of 5 % (b) a gain of 11 /2 % (c) a loss of 96 / 19 % (d) a loss of 100 / 19 % Q22 A tradesman marked his goods 30% above the C.P . If he allow a discount of 25 /4 % , then his gain % is ? (a) 175 / 11 % (b) 22 % (c) 95 / 4 % (d) none of these Q23 The price of an article is raised by 30 % & then two successive discounts of 10% each are allowed . . At the end the price of the article is (a) decreased by 5.3 % (b) increased by 3 % (c) increased by 5.3 % (d) increased by 10 % Q24 The cost price of a n article is 64 % of the market price . Calculate the gain % after allowing a discount of 12 % ? (a) 37.5 % (b) 48 % (c) 50.5 % (d) 52 % Q25 A product when sold with 10% rebate on the listed price gave a profit of Rs 70 . What was its cost price ? (a) 200 (b) 350 (c) 700 (d) can not determine
Answer 1(a) , 2(a) , 3(a) , 4 (a) , 5(a) , 6(d) , 7 (c) , 8 (c) , 9 (c) , 10 (b) , 11 ( c ) , 12 (c) , 13 (c) , 14 (d) , 15 (b) 16 (c) 17 (c) 18 (c) 19 (a) 20 (a) 21 (a) 22 (a) 23 (c) 24 (a) 25 (d) . Explanation Q1 C.P = Rs 490 , S.P = Rs 465.50 Loss = Rs ( 490 – 465.50 ) = 24.50 Loss % = ( 24.50 / 490 ( 100 ) % = 5 % Q2 Let the new S.P be Rs x. then , ( 100 – loss % ) : ( 1st S.P ) = ( 100 + gain % ) : ( 2nd S.P ) ( 100 – 5 / 1140 ) = ( 100 + 5 / x ) , x = 1260 , then new S.P = 1260 Q3 Let C.P of each article be Rs 1 , then C.P of 18 articles = Rs 18 S.P of 18 articles = Rs 21 Gain % = ( 3/18 ( 100 ) % = 50/3 % Q4 Let the S.P be Rs x . Then C.P = 9x / 10 , Receipt = 108 % of x = 27x / 25 Gain = ( 27x / 25 – 9x/10 ) = 18x / 100 Gain % = ( 18x / 100 ( 10 / 9x ( 100 ) % = 20 % Q5 Let the C.P of whole be Rs x C.P of ¾ th = 3x / 4, C.P of ¼ th = Rs x / 4 Total S.P = [ ( 120 % of 3x / 4 ) + x/4 ] = 23x /20 Gain = ( 23x /20 – x ) 3x / 20 Gain % = ( 3x /20 ( 1 / x ( 100 ) % = 15 % Q6 Last C.P = 200 ( 8 = 1600 , Greatest S.P = 425 ( 8 = 3400 Required profit = 3400 – 1600 = 1800 Q7 C.P of 1 Kg = ( 420 / 70 ) = Rs 6 S.P of 1 kg = 6.50 Gain % = ( 0.50/6 ( 100 ) % = 25 / 3 % Q8 C.P for B = 120 % of 400 = 120 /100 ( 400 = 480 C.P for C = 110 % of Rs 480 = ( 110 / 100 ( 480 ) = 528 Q9 85 : 18700 = 115 : x , x = 25300 , therefore S.P per kg = 25300 Q10 C.P of one transistor = ( 100 / 120 ( 840 ) = 700 C.P of second transistor = ( 100 / 96 ( 960 ) = 1000 So , total C.P = 700 + 1000 = 1700 Total S.P = 840 + 960 = 1800 Gain % = ( 100 / 1700 ( 100 )% = 100 /17 % Q11 Let S.P = Rs x . Then, Loss = Rs x/3 C.P = ( x + x / 3) = 4x / 3 Loss % = ( x / 3 ( 3/4x ( 100 ) % = 25 % Q12 clearly the retailer gets 1 dozen out of 6 dozens free . Equivalent discount = ( 1/6 ( 100 ) % = 50 / 3 % Q13 ( S.P of 12 notebooks ) – ( C.P of 12 notebooks ) = ( S.P of 4 notebooks ) C.P of 12 notebooks = S.P of 8 notebooks Let C.P of each notebooks be Rs 1 Then C.P of 8 note books = 8 , S.P of 8 notebooks = 12 Gain % = ( 4/8 ( 100 ) % = 50 % Q14 Suppose he buys 6 eggs of each kind . C.P of 12 eggs = ( ½ ( 6 + 2/3 ( 6 ) = Rs 7 S.P of 12 eggs = ( 3/5 ( 12 ) = 7.20 Gain = ( 0.20 / 7 ( 100 ) % = 20 / 7 % Q15 Let S.P of 45 lemons be Rs x , then 80 : 40 = 120 : x , x = 60 For Rs 60 , lemon sold = 45 . For Rs , lemon sold = ( 45/60 ( 24 ) = 18 Q16 Profit % = ( 200 / 800 × 100 ) % = 25 % Q17 Let a packet of rice marked 1 kg . Its actual weight is 80 % of 1000 gm = 800 gm Let C.P of each gm be Rs 1 , Then C.P of this Packet = 800 gm S.P of this Packet = 110 % of C.P of 1 kg = ( 110 / 100 × 1000 ) = 1100 Therefore gain % = ( 300 / 800 × 100 ) % = 37.5 % Q18` Let C.P be Rs x . Then , 5% of x = ( 350 – 340 ) = 10 , x = 200 Q19 Let C.P be Rs x . Then ( 106 % of x ) – ( 177/2 % of x = 51.80 ) , x = 280 Q20 Total S.P = 8000 , Total C.P = 8000 S.P of first commodity = 4000 . Gain on it = 25 % C.P of first commodity = ( 100 /125 × 4000 ) = 3200 C.P of second commodity = ( 8000  3200) = 4800 S.P of second commodity = 4000 Loss on second commodity = ( 800 /4800 × 100 ) % = 50 /3 % Q21 C.P of ¾ th = ( ¾ × 100 ) = 300 , C.P of ¼ th = 100 Total S.P = ( 90 % of 300 + 110 % of 100 ) = 380 Loss = ( 20 /400 × 100 ) % = 5 % Q22 Let C.P be Rs 100 . Then Marked price = 130 S.P = ( 100 – 25/4 ) % of 130 = 121.875 Profit % = ( 121.875 – 100 ) = 21.875 % = 175 /8 % Q23 Let the original price be Rs 100 . Then Marked Price = 130 Final Price = 90% of 90 % of 130 = 105.30 Increase in price = ( 105.30 – 100 ) % 5.3 % Q24 Let Marked price = 100 , Then , C.P = 64 , S.P = 88 Gain % = ( 24 / 64 × 100 ) % = 37.5 % Q25 Here we not to given the marked price , So the cost price cannot be determined .
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