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Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression `3^(–t)`. (a) What fraction of substance remains after 7 half-lives? (b) After how many half-lives will the fraction be `1/243` of the
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The diameter of the Sun is `1.4 xx 10^9` m and the diameter of the Earth is `1.2756 xx 10^7` m. Compare their diameters by
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Simplify: `(1/5)^45 xx (1/5)^(-60) - (1/5)^+28 xx
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If `7/3%` of a number is 42, then the number
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Find the compound interest on Rs 48,000 for one year at 8% per annum when compounded half
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Suppose a certain sum doubles in 2 years at r % rate of simple interest per annum or at R% rate of interest per annum compounded annually. We
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To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him Rs 360
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For calculation of interest compounded half yearly, keeping the principal same, which one of the following is
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Avinash bought an electric iron for Rs 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought Rs 1200. On the transaction he has
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15% increase in price of an article, which is Rs 1,620, is the increase of Rs
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When principal P is compounded semi-annually at r % per annum for t years, then Amount =
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The marked price of an article when it is sold for Rs 880 after a discount of 12% is
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In the first year on an investment of Rs 6,00,000 the loss is 5% and in the second year the gain is 10%, the net result is
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Additional expenses made after buying an article are included in the cost price and are known as Value Added
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The compound interest on a sum of Rs P for T years at R% per annum compounded annually is given by the formula
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In case of loss, C.P. = `(100 xx S.P.)/(100 +
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Sales tax is always calculated on the cost price of an item and is added to the value of the
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Three bags contain 64.2 kg of sugar. The second bag contains `4/5` of the contents of the first and the third contains `42 1/2%` of what there is in the second bag. How much sugar is there in each
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In the year 2001, the number of malaria patients admitted in the hospitals of a state was 4,375. Every year this number decreases by 8%. Find the number of patients in
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In 1975, the consumption of water for human use was about 3850 cu.km/year. It increased to about 6000 cu.km/year in the year 2000. Find the per cent increase in the consumption of water from 1975 to 2000. Also, find the annual per cent increase in consumption (assuming water consumption increases
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