Reading Comp Read the following paragraph CAT - Arithmetic - Percentage - Question -1 $$ x = {-b \pm \sqrt{b^2-4ac} \over 2a}. $$ Ravi Shankar wishes to buy an air conditioner (AC) with the money in the bank, which currently is earning interest at the rate of 15 p.c.p.a compounded annually. However, Tanzar, his friend, forecasts that the inﬂation rate applicable to AC is going to be 14%, 15%, and 16%, respectively, for the next 3 consecutive years and advises Ravi Shankar to postpone the purchase by 3 years. Does Ravi Shankar gain monetarily, if he takes Tanzar’s advice? Yes No He neither gains nor looses He gains only if the purchase is made in the second year CAT - Arithmetic - Percentage - Question - 2 In the recently concluded referendum in New York, regarding calling back US troops from Iraq, 600 people voted on a referendum, but after some discussion, the opponents increased by 150%. The motion was then rejected by a majority two times as great as that by which it was formerly passed. How many people voted against the initial referendum? 400 300 200 500 CAT - Arithmetic - Percentage - Question - 3 For admission in a graduation program of Delhi University, 90% of the candidates who appeared for the written test were males and the rest were females; 60% of the males and 80% of the females passed in the written test. Find the total number of students appeared for the written test, if the total number of passed candidates was 1240. 2500 2000 2750 3500 CAT - Arithmetic - Percentage - Question - 4 An index of 12 shares contains, among others, the shares of Reliance, HLL, and Infosys with weightage of 7%, 13%, and 15%, respectively. What is the increase in the prices of other shares, if these three rise by 9%, 10%, and 4%, respectively, while the index rises by 6%? 5.34% 4.91% 4.58% Cannot be determined CAT - Arithmetic - Percentage - Question - 5 Amul, Binit, and Chand start a business by investing Rs.70,000 that earns them a proﬁt of Rs.42,000 at the end of the year. Amul invests his share in the proﬁt in a scheme that gives him 10% interest compounded annually and Binit invests his share in a scheme that gives him 20% interest compounded annually. Amul gets Rs.2520 as interest at the end of 2 years and Binit gets an interest of Rs.4200 at the end of one year. Find Chand’s investment in the business. Rs. 1,60,000. Rs. 15,000. Rs. 17,520. Cannot be determined. Time's up Read the second para Question-1 A bookseller marks his books at an advance of 69% on the actual cost of production. He allows a discount of 15% and also given a copy free for every dozen sold at a time. What rate per cent proﬁt does the bookseller make, if books are sold in lots of 12? 32.6 47.5 24.9 None of these Question-2 A certain manufacturer sells a product to the distributor at 10% proﬁt. Then, the distributor sells it to the dealer and the dealer sells to the retailer at a mark-up of 10% and 20%, respectively. The retailer marks up his cost by 20% and then offers a 10% discount to the customer. If the customer had bought it from the distributor directly at the distributor’s selling price, then how much reduction in price would he have got with respect to buying it from the retailer? 29.6% 18% 32% 22.8% Question-3 Two pieces of the same cloth together cost Rs.910. On selling from the ﬁrst piece as many metres as the second piece originally contained and from the second piece half as many metres as the ﬁrst piece contained originally. The remaining of the ﬁrst piece turned out to exceed the remaining of the second piece by 10 m. Each metre of the cloth costs Rs.14. How many metre of cloth did each piece originally contain? 45 m; 20 m 45 m; 25 m 36 m; 29 m 40 m; 25 m Hint Question-4 Rupesh marks up an article by p%, gives a discount of p/4 % and gets a proﬁt of p/4 %. Had he marked up by p/2 % and given a discount p/6 %, what would be his proﬁt percentage? 25% 33 1/3 % 50% 66 2/3 % Question-5 A publisher printed 3000 copies of ‘Future Shock’ at a cost of Rs.2400. He gave 500 copies free to different philanthropic institutions. He allowed a discount of 25% on the published price and gave one copy free for every 25 copies bought at a time. He was able to sell all the copies in this manner. If the published price is Rs.3.25, then what is his overall gain or loss percentage in the whole transaction? 113% 130% 162% 144% Question-6 A car manufacturing company XYZ can make 300 cars per month at a cost of Rs.2 lakhs per car and pay an excise duty of 30% per car. It has 500 cars in its storage room in a month and is able to sell 300 cars per month at a rate of Rs.3 lakhs per car. In the budget in the last week of February, the excise duty was reduced by 10% and it will take effect from 1st April. But, the customers cannot wait till 1st April. So the company decides to give this rebate to every customer who buys a car in March as well, but for this particular month the company has to pay 30% duty. The company can reduce or increase manufacturing of car per month by a maximum of 25%. What is the proﬁt or loss in the revenue to the company in the month of March? 15 lakh. 60 lakh 45 lakh 30 lakh Question-7 A shopkeeper purchases a packet of 50 pens at Rs.10 per pen. He sells a part of the packet at a proﬁt of 30%. On the remaining part, he incurs a loss of 10%. If his overall proﬁt on the whole packet is 10%, ﬁnd the number of pens he sold at proﬁt. 25 30 20 15 Time's up