A shopkeeper marks his good at 60% above the cost price. He allows a discount of 12 1/2%. Also he cheats 14 2/7% while purchasing and 20%at selling and gives one article free on purchase of 15 articles. Find the profit/loss in whole transaction.

Hi VikasLet the cost price of 1 kg be 100. So the person marks the price as 160 and offers a discount of 20. Hence, He sells it for 140. However, he 1 + 1/7 = 8/7 kg for 100. Hence the effective cost price for him would be 100/(8/7) = 700/8.Now he sells only 800 gm for 140. The cost price of 800 gm would be 700*.8/8 = 70.Now he offers one article free for every 15. Hence his effective discount rate is 12.5 + 6.17 = 18.67Hence his effective selling price is 160*8133 = 130.12.Hence the required profit percentage = 60.12/70 = 85.88%Hope that helps.

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Fresh grapes have 75% water and the rest is pulp. During the process of drying, it was found that at a particular stage it contained 50% water by weight. What is the percentage reduction in the weight of the original quantity of fresh grapes?

Hi,Let's assume initially we had 200 gm of grapes. So, 50 gm is pulp and 150 gm is water. At some stage, water percentage was only 50% of the weight. This also means that the other 50% is pulp.So, water got reduced to 50gm or 100gm reduction. Thus, percentage reduction is 66%.

How many terms are there in the expression (1 + x2 + x4)10 when it is expanded?

Hi, The number of terms in a binomial expansion is given byn+r-1C r-1Here, n=10(power) and r=3(terms inside bracket)So, number of terms = 12C2 = 66

Since x can only take the even values between 1 and 42 the number of terms in the expansion will be 40/2+1 i.e. 21

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In a aeroplane, the fuel burnt is directly proportional to the square root of its speed. If the aeroplane travels 800 km at a speed of 441 km/hr, the amount of fuel burnt is equal to 1250 litres. Find the distance travelled by the aeroplane, if 2000 litres of fuel was burnt while travelling at 784 km/hr.??

Hi Manoj,There is some information missing in the question, without knowing relationship between fuel burnt and distance traveled, the question cannot be solved.

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