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Ratio, Percentage & Commercial Math — practice questions with answers

289 questions with worked solutions. Open any question to see the full step-by-step answer.

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In a class the ratio of boys to girls is 5 : 3. If there are 40 students in all, how many girls…A shop sells 3 notebooks for ₹135. Ravi buys 7 notebooks and pays with a ₹500 note. How much…A number is first increased by 25%. By what percent must the new value be decreased to bring it…15 workers can build a wall in 8 days. Working at the same rate, how many days will 10 workers take?In how many years will ₹2500 amount to ₹3000 at 5% simple interest per annum?A car travels 150 km on 12 litres of petrol. At the same rate, how far can it travel on 20 litres…If A : B = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, then A : D is:A train 240 m long running at 54 km/h crosses a platform in 30 seconds. The length of the platform…The ratio of two numbers is 3 : 5. If 9 is added to each of them, the ratio becomes 2 : 3. The…Two successive discounts of 20% and 10% are equivalent to a single discount of what percent?A machine bought for ₹62500 depreciates at 20% per annum. Its value (in ₹) after 3 years is:The difference between compound interest and simple interest on a certain sum for 2 years at 8%…A man travels from A to B at 40 km/h and returns along the same road at 60 km/h. His average speed…A dishonest dealer sells goods at cost price but uses a weight of 800 g in place of 1 kg. His gain…In an examination a candidate scoring 40% of the total marks fails by 20 marks, while a candidate…A invests ₹12000 for 8 months and B invests ₹9000 for 10 months in a business. If the total annual…A sum of money at simple interest amounts to ₹1352 in 2 years and to ₹1508 in 3 years. The rate of…Two trains 120 m and 180 m long are running in opposite directions at 45 km/h and 63 km/h. The…A man sold an article at a loss of 20%. Had he sold it for ₹100 more, he would have gained 5%. The…Find the compound interest (in ₹) on ₹10000 at 20% per annum for 1 year, compounded half-yearly.The average of 11 numbers is 50. The average of the first six numbers is 49 and that of the last…A trader allows a discount of 12.5% on the marked price and still gains 5%. If the cost price is…A boat covers 24 km downstream in 2 hours and returns the same distance upstream in 3 hours. The…A and B start a business with ₹21000 and ₹15000. After 4 months A withdraws ₹3000 and B adds…A shopkeeper sells two articles for ₹1000 each, gaining 20% on one and losing 20% on the other.…

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