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Earn 100

Two pieces of the same cloth together cost ₹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 ₹ 14 . How many metre of cloth did each piece originally contain?

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Important Questions on Arithmetic

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Rupesh marks up an article by p%, gives a discount of p4% and gets a profit of p4%. Had he marked up by p2% and given a discount p6%, what would be his profit percentage?
MEDIUM
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Amit bought two cars. He then sold the first car at 10% profit and the second one at 25% profit. The selling price of the second car is 25% more than the selling price of the first car. What is the approximate profit per cent in both the cars together?
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A publisher printed 3000 copies of 'Future Shock' at a cost of ₹ 2400 . He gave 500 copies free to different philanthropic institutions further. 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 ₹ 3.25, then what is his overall gain or loss percentage in the whole transaction (approximately)?
MEDIUM
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A car manufacturing company XYZ can make 300 cars per month at a cost of ₹2 lakhs per ar 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 ₹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 1 st 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?
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A shopkeeper uses a 'point of sales' software which prepares the bill for customers based on the number of units per unit. Both of the above are 2 -digit numbers. While entering the data, he erroneously swaps the digits of both quantity of units and price. As a result, the closing stock balance is lowered by 72 units, and the sales value shown is ₹ 1,368. How many units have actually been sold?
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Mohit goes to furniture shop to buy a sofa set and a centre table. He bargains for a 10% discount on the centre table and 25% discount on sofa set. However, the shopkeeper, by mistake, interchanged the discount percentage figures while making the bill and mohit paid accordingly. When compared to what he should pay for his purchases, what percentage did mohit pay extra given that the center table costs 40% as much as the sofa set.
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In a laboratory experiment, a sample of air which is a mix of only oxygen and vapour is taken. Water contains hydrogen and oxygen gases. If air contains 70% oxygen (including that contained in the water vapour) by weight while water vapour contain 16.66% oxygen by weight, how many kilograms of water vapour is present in 1kg of water?
MEDIUM
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A shopkeeper purchases a packet of 50 pens at ₹ 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.