Price of a diamond is directly proportional to square of its weight. A man broke the diamond accidentally in three pieces in the ratio of 3 : 5 : 7 and thus loses Rs 42600. What was the original price (in Rs) of the diamond? ?->(Show Answer!)

1. Price of a diamond is directly proportional to square of its weight. A man broke the diamond accidentally in three pieces in the ratio of 3 : 5 : 7 and thus loses Rs 42600. What was the original price (in Rs) of the diamond?

Write Comment

Comments

By: anil on 05 May 2019 01.46 am

Let weight of original diamond = $$15x$$ and price of diamond = Rs. $$C$$ According to ques, => $$C propto (15x)^2$$ => $$C=225kx^2$$ --------------(i) Let weight of each broken piece be $$3x,5x$$ and $$7x$$ g Thus, cost of first piece (from equation (i)) = $$k(3x)^2=9kx^2$$ Similarly, price of each of the remaining pieces = $$25kx^2$$ and $$49kx^2$$ => Total cost = $$9kx^2+25kx^2+49kx^2= 83kx^2$$ Amount lost = $$225kx^2-83kx^2=42600$$ => $$kx^2=frac{42600}{142}=300$$ $$ herefore$$ Original price of diamond = $$225 imes300=Rs.$$ $$67,500$$ => Ans - (C)

Tags

Show Similar Question And Answers

QA->A people that values its privileges above its principles soon loses both- Whose words are these?....

QA->A man who is easily irritated and loses temper....

QA->Compensative errors of length L is proportional to :....

QA->To see that no authority exercises its powers of sanctioning expenditure to pass an order which will be directly or indirectly to its own advantage is part and parcel of :....

QA->Highest useful compression ratio is the compression ratio at which the engine....

MCQ->Price of a diamond is directly proportional to square of its weight. A man broke the diamond accidentally in three pieces in the ratio of 3 : 5 : 7 and thus loses Rs 42600. What was the original price (in Rs) of the diamond?....

MCQ->The cost of diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio 1 : 2 : 3 : 4. When the pieces were sold, the merchant got Rs. 70,000 less. Find the original price of the diamond.....

MCQ->Consider the following statements associated with the laws of weights in the theory of erros :1. If an equation is multiplied by its own weight, then the weight of the resulting equation is equal to the reciprocal of the weight of the equation.2. The weight of the algebraic sum of two or more quantities is equal to the reciprocal of the sum of the individual weights.3. If the quantity of a given weight is multiplied by a factor, then the weight of the result is obtained by dividing its given weight by the square root of that factor.4. If the quantity of a given weight is divided by a factor, then the weight of the result is obtained by multiplying its given weight by the square of that factor.Of these statements :....

MCQ-> Read the following passage carefully and answer the question given below it. Certain words are printed in bold to help you to locate them while answering some of the question.Once upon a time in a village, there lived six blind men. In spite of their blindness they had managed to educate themselves Seeking to expand their knowledge they decided to visit a zoo and try out their skills in recognizing animals by their touch. The first animal they came across, as soon as they entered the zoo was an elephant.As the first man approched the elephant, the elephant waved its trunk, and the man felt something brush past him. Managing to hold on to it, and found something long and moving. He jumped back in alarm, shouting "Move away ! This is a snake !" Meanwhile ,the second man had moved closer, and walked right near its legs. As the man touched the thick, cylindrical¬shaped legs, he called out "Do not worry. These are just four trees here. There is acertainly no snake !" The third man was curious hearing the other two, and moved forward. As he walked towards the elephant, he felt his hand touch one of the tusks. Feeling the smooth, sharp ivory tusk, the man cried out " Be careful ! There is a sharp spear here". The fourth man cautiously walked up behind the elephant and felt its swinging tail. "It's just a rope ! he said. The fifth man had meanwhile reached out and was touching the huge ears of the animal. "I think all of you have lost your sense of touch !" he said. "This is nothing but a huge fan!" The sixth man did not want to be left out. As he walked towards the elephant, he bumped into the massive body, and he exclaimed, "Hey ! This is just a huge mud wall ! There is no animal at all !" All six of them were convinced that they were right, and began arguing amongst themselves.The zoo keeper returned to the elephant and saw each of them shouting at the top of their voice ! "Quiet" he shouted out and when they had calmed down, he asked, "Why are all of you shouting and arguing in this manner ?" They replied, "sir, as you can see, we all are blind. We came here to expand our knowledge. We sensed an animal here and tried to get an idea of its appearance by feeling it. However, we are not able to arrive at a consensus over its appearance, and hence are arguing. Can you please help us and tell us which of us is right" ?The zoo keeper laughed before answering "My dear men, each of you has touched just one portion of the animal. The animal you see is neither a snake, nor any of other things you have mentioned. The animal in front on you is an elephant !" As the men, bowed their head ashamed of the scence they had created, the zoo keeper said, "My dear men, this is a huge animal and luckily, it is tame. It stood by calmly as each of you touched it. You are extremely lucky that it stayed calm even during your argument, for if it had got angry, it would have trampled all of you to death !" He continued further , "It is also important to learn to share and pool your knowledge .Instead of fighting amongst yourselves, if you had tried to put all your observations together, you might have had an idea of the animal as a whole ! Also, when you cannot see the entire truth, it is better to go to someone who does know the complete truth, rather than guess about small parts of it. Such half¬knowledge is not only useless, but also dangerous. If you had come directly to me, I would have helped you identify all the animals without putting you in danger !" The six men apologized to the zoo keeper, and assured him that they had learnt their lesson. From now on they would seek true knowledge from qualified people, and would seek true knowledge from qualified people, and would also try to work together as a team so that they could learn moreWhich part of the elephant resembled a big fan ?
....

MCQ-> Read the following passage carefully and answer the questions given below it. Certain words/phrases have been printed in bold tohelp you locate them while answering some of the questions. During the last few years, a lot of hype has been heaped on the BRICS (Brazil, Russia, India, China, and South Africa). With their large populations and rapid growth, these countries, so the argument goes, will soon become some of the largest economies in the world and, in the case of China, the largest of all by as early as 2020. But the BRICS, as well as many other emerging-market economieshave recently experienced a sharp economic slowdown. So, is the honeymoon over? Brazil’s GDP grew by only 1% last year, and may not grow by more than 2% this year, with its potential growth barely above 3%. Russia’s economy may grow by barely 2% this year, with potential growth also at around 3%, despite oil prices being around $100 a barrel. India had a couple of years of strong growth recently (11.2% in 2010 and 7.7% in 2011) but slowed to 4% in 2012. China’s economy grew by 10% a year for the last three decades, but slowed to 7.8% last year and risks a hard landing. And South Africa grew by only 2.5% last year and may not grow faster than 2% this year. Many other previously fast-growing emerging-market economies – for example, Turkey, Argentina, Poland, Hungary, and many in Central and Eastern Europe are experiencing a similar slowdown. So, what is ailing the BRICS and other emerging markets? First, most emerging-market economies were overheating in 2010-2011, with growth above potential and inflation rising and exceeding targets. Many of them thus tightened monetary policy in 2011, with consequences for growth in 2012 that have carried over into this year. Second, the idea that emerging-market economies could fully decouple from economic weakness in advanced economies was farfetched : recession in the eurozone, near-recession in the United Kingdom and Japan in 2011-2012, and slow economic growth in the United States were always likely to affect emerging market performance negatively – via trade, financial links, and investor confidence. For example, the ongoing euro zone downturn has hurt Turkey and emergingmarket economies in Central and Eastern Europe, owing to trade links. Third, most BRICS and a few other emerging markets have moved toward a variant of state capitalism. This implies a slowdown in reforms that increase the private sector’s productivity and economic share, together with a greater economic role for state-owned enterprises (and for state-owned banks in the allocation of credit and savings), as well as resource nationalism, trade protectionism, import substitution industrialization policies, and imposition of capital controls. This approach may have worked at earlier stages of development and when the global financial crisis caused private spending to fall; but it is now distorting economic activity and depressing potential growth. Indeed, China’s slowdown reflects an economic model that is, as former Premier Wen Jiabao put it, “unstable, unbalanced, uncoordinated, and unsustainable,” and that now is adversely affecting growth in emerging Asia and in commodity-exporting emerging markets from Asia to Latin America and Africa. The risk that China will experience a hard landing in the next two years may further hurt many emerging economies. Fourth, the commodity super-cycle that helped Brazil, Russia, South Africa, and many other commodity-exporting emerging markets may be over. Indeed, a boom would be difficult to sustain, given China’s slowdown, higher investment in energysaving technologies, less emphasis on capital-and resource-oriented growth models around the world, and the delayed increase in supply that high prices induced. The fifth, and most recent, factor is the US Federal Reserve’s signals that it might end its policy of quantitative easing earlier than expected, and its hints of an even tual exit from zero interest rates. both of which have caused turbulence in emerging economies’ financial markets. Even before the Fed’s signals, emergingmarket equities and commodities had underperformed this year, owing to China’s slowdown. Since then, emerging-market currencies and fixed-income securities (government and corporate bonds) have taken a hit. The era of cheap or zerointerest money that led to a wall of liquidity chasing high yields and assets equities, bonds, currencies, and commodities – in emerging markets is drawing to a close. Finally, while many emerging-market economies tend to run current-account surpluses, a growing number of them – including Turkey, South Africa, Brazil, and India – are running deficits. And these deficits are now being financed in riskier ways: more debt than equity; more short-term debt than longterm debt; more foreign-currency debt than local-currency debt; and more financing from fickle cross-border interbank flows. These countries share other weaknesses as well: excessive fiscal deficits, abovetarget inflation, and stability risk (reflected not only in the recent political turmoil in Brazil and Turkey, but also in South Africa’s labour strife and India’s political and electoral uncertainties). The need to finance the external deficit and to avoid excessive depreciation (and even higher inflation) calls for raising policy rates or keeping them on hold at high levels. But monetary tightening would weaken already-slow growth. Thus, emerging economies with large twin deficits and other macroeconomic fragilities may experience further downward pressure on their financial markets and growth rates. These factors explain why growth in most BRICS and many other emerging markets has slowed sharply. Some factors are cyclical, but others – state capitalism, the risk of a hard landing in China, the end of the commodity supercycle -are more structural. Thus, many emerging markets’ growth rates in the next decade may be lower than in the last – as may the outsize returns that investors realised from these economies’ financial assets (currencies, equities. bonds, and commodities). Of course, some of the better-managed emerging-market economies will continue to experitnce rapid growth and asset outperformance. But many of the BRICS, along with some other emerging economies, may hit a thick wall, with growth and financial markets taking a serious beating.Which of the following statement(s) is/are true as per the given information in the passage ? A. Brazil’s GDP grew by only 1% last year, and is expected to grow by approximately 2% this year. B. China’s economy grew by 10% a year for the last three decades but slowed to 7.8% last year. C. BRICS is a group of nations — Barzil, Russia, India China and South Africa.....