Alligations or Mixture

31 100 kgs of an alloy of tin and lead in the ratio 1:3 is mixed with×kgs of an alloy of tin and lead in the ratio 3:2. If the overall alloy should contain between 40% and 50% tin, what is the range of values×can take?

32 Haresh earned ₹ 4000 per month. From the last month his income was increased by 8%. Due to rise in prices, his expenditure also got increased by 12% and his savings decreased by 4%. Find his increased expenditure and initial saving:

33 A butler stole wine from a butt of sherry which contains 15% of spirit and he replaced what he had stolen by wine containing 6% of spirit. The butt was then 9% strong only. How much of the hutt did he steal?

34 The expenditure and savings of an employee are in the ratio 3 1. His income increases by 16%, but at the same time his expenditure also increases by 20%. Find the increase or decrease in his savings:

35 A merchant has 2000 kg of rice, one part of which he sells at 36% profit and the rest at 16% profit. He gains 28% on the whole. Find the quantity sold at 16%:

36 ₹ 675 was divided among 75 boys and girls. Each boy gets ₹ 20 whereas a girl gets T 5. Find the number of boys and girls:

37 In two types of stainless steel, the ratio of chromium and steel are 2 : 11 and 5 : 21, respectively. In what proportion should the two types be mixed, so that the ratio of chromium to steel in the mixed type become 7 : 32?

38 From a cask of wine containing 25 litres, 5 litres is withdrawn and the cask is refilled with water. The process is repeated a second time and then a third time:

39 ₹ 15000 is invested in two parts such that if one part is invested at 6%, and the other at 5%, the total amount in one year as interest from both investments is T 850. How much is invested at 5%:

40 A dishonest trader professes to sell his article at cost price but he uses 900 g weight instead of 1 kg. What is the percentage gain of the trader in this trade?