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- Question
- Gold is 19 times as heavy as water and copper 9 times as heavy as water. The ratio in which these two metals be mixed so that the mixture is 15 times as heavy as water is?
Options- A. 1 : 2
- B. 2 : 3
- C. 3 : 2
- D. 19 : 135
- Correct Answer
- 3 : 2
ExplanationLet, 1 gm of gold be mixed with y gm of copper to give (1 +x) gm of mixture.
Now, 1G =19W and 1C = 9W and mixture = 15W
Now, 1 gm gold + y gm copper = (1 + y) gm mixture
? 19 W + 9W x y = (1 + y ) x 15W
Thus 4W = 6W x y
? y = 4W/6W = 4/6 = 2/3
So the required ratio is 1 : 2/3 i.e. 3 : 2 - 1. Vinay got thrice as many marks in Maths as in English. The proportion of this marks in Maths and History is 4 : 3. If his total marks in Maths, English And History are 250. What are his marks in English?
Options- A. 120
- B. 90
- C. 40
- D. 80 Discuss
- 2. 15 litres of a mixture contains 20% alcohol and the rest water. If 3 litres of water be mixed in it. The percentage of alcohol in the new mixture will be?
Options- A. 17
- B. 162/ 3
- C. 181/ 2
- D. 15 Discuss
- 3. A's money is to B's money as 4 : 5 and B's money is to c's money as 2 : 3. If A has Rs. 800, C has?
Options- A. Rs. 1000
- B. Rs. 1200
- C. Rs. 1500
- D. Rs. 2000 Discuss
- 4. A mixture contains milks and water in the ratio 5 : 1. On adding 5 litres of water the ratio of milk and water becomes 5 : 2. The quantity of milk in the mixture is?
Options- A. 16 litres
- B. 25 litres
- C. 32.5 litres
- D. 22.75 litres Discuss
- 5. If a : b = c : d then, (ma + nc) / (mb + nd) is equal to?
Options- A. m : n
- B. na : mb
- C. a : b
- D. md : nc Discuss
- 6. Divide Rs. 600 among A, B and C so that Rs. 40 more than 2/5th of A's share,Rs. 20 more than 2/7th of B's share and Rs. 10 more than 9/17th of C's share may all be equal. What is A's share?
Options- A. Rs. 280
- B. Rs. 150
- C. Rs. 170
- D. Rs. 200 Discuss
- 7. 729 ml of a mixture contains milk and water in the ratio 7 : 2. How much more water is to be added to get a new mixture containing milk and water in the ratio of 7 :3?
Options- A. 60 ml
- B. 70 ml
- C. 81 ml
- D. 90 ml Discuss
- 8. A and B are two alloys of gold and copper prepared by mixing metals in proportions 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to from a third alloy C, the proportion of gold and copper in C will be?
Options- A. 5 : 9
- B. 5 : 7
- C. 7 : 5
- D. 9 : 5 Discuss
- 9. Some money is divided among A, B and C in such a way that 5 times A's share 3 times B's share and 2 times C's share are all equal. the ratio between the share of A, B, C is?
Options- A. 5 : 3 : 2
- B. 2 : 2 : 5
- C. 15 : 10 : 6
- D. 6 : 10 : 15 Discuss
- 10. 94 is divided into two parts in such a way that fifth parts of the first and eighth parts of the second are in the ratio 3 : 4. The first parts is?
Options- A. 27
- B. 30
- C. 36
- D. 48 Discuss
Ratio and Proportion problems
Search Results
Correct Answer: 40
Explanation:
M = 3E and M/H = 4/3
? H = 3/4 M = 3/4 x 3E = 9/4 E
Now M + E + H = 250
? 3E + E + 9/4 E = 250
? 25 E = 1000
? E = 40
Correct Answer: 162/ 3
Explanation:
Alcohol = (20/100) x 15 litres = 3 litres,
Water = 12 litres
New mix, contains,
Alcohol = 3 litres,
Water = 15 litres
? Percentage of alcohol in new mix. = (3/18) x 100 % = 162/ 3%
Correct Answer: Rs. 1500
Explanation:
A : B = 4 : 5 = 8 : 10 and B : C = 2 : 3 = 10 : 15
? A : B : C = 8 : 10 :15
If A has Rs. 8, C has Rs. 15
If A has Rs. 800 C has Rs. (15/8 x 100) = Rs. 1500
Correct Answer: 25 litres
Explanation:
Let quantity of milk and water be 5x and x litres.
Then, 5x / (x + 5) = 5/2
? 10x = 5x + 25
? x =5
? Quantity of milk = 5x =25 litres
Correct Answer: a : b
Explanation:
Let (a/b) = (c/d) = k
Then, a = bk and c = dk.
? (ma + nc) / (mb + nd) = (mbk + ndk) / (mb + nd) = k(mb + nd/mb + nd)
= k = a/b = a : b.
Correct Answer: Rs. 150
Explanation:
? 2A/5 + 40 = 2B/7 + 20 = 9C/17 + 10 = k
? A = 5(k - 40)/2, B =7(k - 20)/2 and C = 17(k - 10)/9
? 5(k - 40)/2 +7(k - 20)/2 +17/(k - 10 )/9 = 600
? 45k - 1800 + 63k - 1260 + 34k - 340 = 10800
? 142k = 14200
? k = 14200 / 142 = 100
Hence A's share = (5/2) x ( 100 - 40) = Rs. 150
Correct Answer: 81 ml
Explanation:
Milk = (729 x 7/9) = 567 ml
Water = (729 x 2/9) = 162 ml
Let water to be added is w
? 567 / (162 + w) = 7/3
? 3 x 567 - 7 x 162 = 7 x w
? 1701 - 1134 = 7 x w
? 7w = 1701 - 1134
? w = 567/7 = 81 ml
Correct Answer: 7 : 5
Explanation:
Gold in C =(7/9 + 7/18) = 21/18 = 7/6
Copper in C = (2/9 + 11/18) = 15/18 = 5/6
? Gold : Copper = 7/6 : 5/6 = 7 : 5
Correct Answer: 6 : 10 : 15
Explanation:
? 5A = 3B = 2C = x
? A = x/5, B=x/3 and C =x/2
? A : B : C = x/5 : x/3 : x/2 = 6 : 10 : 15
Correct Answer: 30
Explanation:
? 1/5A : 1/8B = 3 : 4
? 8A/5B = 120/160
? A/B = 120/160 x 5/8 = 15/32
? First part = Rs. (94 x 15/47) = Rs. 30
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