Math Problem Solver

solve the following comparing quantities in english :- 1. Divide Rs. 1870 in three parts such that half of the first part, one-third of the second part and one-sixth of the third part are equal ? 2. The students in three batches in school is in the ratio of 2:3:5. If 20 students in each batch are increased than the ratio changes to 4:5:7. What is the total number of students in the three before the increase ? 3. If 4 examiners can examine a certain number of answer books in 8 days by working 5 hours a day, for how many hours a would 2 examiners have to work in order to examine twice the number of answer books in 20 days ? 4. Find the loss percent on selling 140 geometry boxes at the loss of s.p. of 10 geometry boxes ? 5. If 6 articles are sold for ₹1 then there is a loss of 20%.In order to gain 20%,what must be the number of articles sold for ₹1 ? 6. A shopkeeper cheats to the extent of 10% while buying and selling, by using false weights. Find his total gain ? 7. Out of her total salary , Urmila spends 30% on house rent and 60% of the rest on household expenditure. If she saves Rs10500, what is her total monthly income. If selling price is doubled, the profit triples. Find the profit percent ? 8. A man loses 20% while selling 40 lemons at Rs. 45. But after a day he checked that out of 20 lemons at least 2 are rotten in average. Now how much he should sell for Rs. 135 so that to make 20% profit ? 9. A reduction of 20% in the price of a salt enables a person to buy 4 kg more salt for Rs.100. Find the reduced price of the salt ? 10. The price of sugar goes up by20%.By how much percent must a house wife reduce her consumption of sugar so that the expenditure on sugar remains the same ? 11. A’s income is 60% more than that of B. By what percent is B’s income less than A’s ? 12. A number is increased by 20% and then decreased by 20%. Find the net increase or decrease percent ? 13. Two vessels contain equal quantity of mixtures of milk and water in the ratio 5 : 2 and 6 : 1 respectively. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained ? 14. The ratio of the money with Rita and Sita is 7 : 15 and that with Sita and Kavita is 7 : 16. If Rita has Rs 490 how much money does Kavita have ? 15. 15. A dog pursues a hare and takes 5 leaps for every 6 15.leaps of the hare, but 4 leaps of the hound are equal to 5 leaps of the hare. Compare the rates of the dog and the hare ? 16. solve if bc : ac : ab = 1 : 2 : 3, find a/bc: b/ca. 17. When 50% of one number is added to a second number, the second number increases to its four thirds. What is the ratio between the first number and the second number ? 18. Find the S.I. on Rs. 1098 at 5% p.a. from 5th May 1996 to 25th May 1996 ? 19. A certain sum of money Amount to Rs. 900 at S.I. in 5 years. It amount to Rs.1020 at same rate at S. I. In 7 years. Find the sum ? 20. A sum of money triples itself in 3 years at C.I. In how many years will it become 9 times itself ?