Model Questions
1. In what proportion must a grocer mix wheat at Rs.9.50 per kg and Rs.13.60 per kg so as to make a mixture worth Rs.10.50 per kg?
A) 27 : 11 B) 29 : 15
C) 31 : 10 D) 45 : 13
2. A mixture of a certain quantity of milk with 39 litres of water is worth 60 paise per litre. If pure milk is worth 75 paise per litre, how much milk (in litres) is there in the mixture?
A) 164 B) 160
C) 144 D) 156
3. A merchant has 168 kg of rice, one part of which he sells at 48% profit and the rest at 75% profit. He gained 63% on the whole. Find the quantity (in kgs) sold at 75%.
A) 100 B) 105
C) 107 D) 110
4. A merchant had 54 kg of pulse. He sells one part at a profit of 12% and other at 15% loss. Overall he had a gain of 9%. Find the quantity (in kgs) of pulses, which he sold at 12% profit.
A) 42 B) 40 C) 44 D) 48
5. 488 g of salt solution has 45% salt in it. How much salt (in grams) should be added to make it 60% in the solution?
A) 163 B) 183 C) 144 D) 154
6. In two types of stainless steel, the ratio of chromium and steel are 5 : 7 and 7 : 4, respectively. In what proportion should the two types be mixed, so that the ratio of chromium to steel in the mixed type becomes 9 : 11?
A) 133 : 19 B) 121 : 21
C) 123 : 22 D) 146 : 29
7. In a mixture of 84 litres the ratio of acid and water is 5 : 2. If the ratio of acid and water is to be 2 : 7, then the amount of water (in litres) to be added to the mixture is....
A) 168 B) 178
C) 195 D) 186
8. In what ratio must a mixture of 28% alcohol be mixed with another mixture of 64% alcohol so that the resultant mixture contains 44% alcohol?
A) 9 : 11 B) 7 : 8
C) 4 : 7 D) 5 : 4
9. Fresh fruits contain 83% water by weight and dry fruits contain 15% water by weight. How many kgs. of dry fruits can be obtained from 96 kgs. of fresh fruits?
A) 19.2 B) 18.6
C) 14.4 D) 12.6
10. A money lender lends a part of a sum of Rs.9600 at 6% interest and the rest at 9% interest. If the total annual interest received on the sum at the end of a year is Rs.600, how much did he lend at 9% interest? (In Rs.)
A) 720 B) 760 C) 800 D) 950
11. There are 2 varieties of tea, one that costs Rs.8.50/kg and another that costs Rs.13.50/kg. In what ratio should a grocer mix the two varieties so that by selling the mixture at Rs.12.60/kg, he will make a profit of 20%?
A) 2 : 5 B) 3 : 2 C) 6 : 7 D) 7 : 11
12. 25 litres of 40% sulphuric acid is mixed with 60 litres of 80% sulphuric acid. What is the strength of sulphuric acid in the resultant mixture?
A) 66.78% B) 68.23%
C) 71.26% D) 73.28%
13. Ajar has 75 litres of milk. From the jar 18 litres of milk was taken out and replaced by an equal amount of water. If 18 litres of the newly formed mixture is taken out of the jar, what is the final quantity of milk left in the jar?
A) 47.75 B) 46.64
C) 43.32 D) 48.84
14. A and B are two alloys of nickel and copper prepared by mixing metals in the ratio 9 : 11 and 12 : 13 respectively. If equal quantities of the alloy are melted to form a third alloy C, the ratio of nickel and copper in C will be:
A) 98 : 111 B) 96 : 109
C) 87 : 112 D) 93 : 107
Key
1-C 2-D 3-B 4-D 5-B 6-C 7-D 8-D 9-A 10-C 11-B 12-B 13-C 14-D
