Ratio and Proportion

ABC26GN3119 · When a particular number is subtracted from each of 7, 9, 11 and 15, the resulting numbers are in proportion. The number to be subtracted is · 2007

ABC26GN3120 · The ratio of milk to water in 80 litres of a mixture is 7 : 3. The water (in litres) to be added to it to make the ratio 2 : 1 is · 2006

ABC26GN3121 · In two types of powdered detergent the ratio of soda and soap-dust is 2 : 19 and 1 : 11 respectively. If 7 kg of the first type is mixed…

ABC26GN3122 · What number must be added to each of the numbers 7, 11 and 19 so that the resulting numbers may be in continued proportion?

ABC26GN3123 · Two numbers are in the ratio of 3 : 5. If 9 is subtracted from each, they are in the ratio of 12 : 23. What is the larger number? · 2010

ABC26GN3125 · In a certain company, the ratio of the number of managers to the number of production-line workers is 5 to 72. If 8 additional… · 2006

ABC26GN3126 · What number has to be added to the terms of 3 : 5 to make the ratio 5 : 6? (R.R.B., 2006)

ABC26GN3127 · The ratio of the number of ladies to that of gents at a party was 3 : 2. When 20 more gents joined the party, the ratio was reversed. The… · 2006

ABC26GN3128 · In a school the ratio of boys and girls is 4 : 5 respectively. When 100 girls leave the school the ratio becomes 6 : 7 respectively. How… · 2008

ABC26GN3129 · Two numbers are in the ratio 1 1/2: 2 2/3. When each of these is increased by 15, their ratio becomes 1 2/3: 2 1/2. The greater of the… · 2005

ABC26GN3132 · Two numbers are in the ratio 2 : 3. If 2 is subtracted from the first and 2 is added to the second, the ratio becomes 1 : 2. The sum of the… · 2007

ABC26GN3133 · 20 litres of a mixture contains milk and water in the ratio of 5 : 3. If four litres of this mixture is replaced by four litres of milk…

ABC26GN3134 · When 1 is added to each of the two given numbers, their ratio becomes 3 : 4 and when 5 is subtracted from each, the ratio becomes 7 : 10…

ABC26GN3135 · The ratio of number of boys to that of girls in a group becomes 2 : 1 when 15 girls leave. But, afterwards, when 45 boys also leave, the…

ABC26GN3136 · Two vessels contain spirit of 0.5 and 0.75 concentrations. If 2 litres from the first vessel and 3 litres from the second vessel are mixed…

ABC26GN3137 · The least whole number which when subtracted from both the numerator and the denominator of the fractional number 6 : 7, gives a ratio less…

ABC26GN3138 · The population of a city is 9000 in a particular year. If there is an increase of 5% in men's population and 8% in women's population in…

ABC26GN3139 · A barrel contains a mixture of wine and water in the ratio 3 : 1. How much fraction of the mixture must be drawn off and substituted by…

ABC26GN3140 · One year ago the ratio of the ages of Sarika and Gouri was 3 : 4 respectively. One year hence the ratio of their ages will be 10 : 13… · 2008

ABC26GN3141 · The average age of three boys is 25 years and their ages are in the proportion 3 : 5 : 7. The age of the youngest boy is

ABC26GN3142 · A box contains 1 rupee, 50-paise and 25-paise coins in the ratio 8 : 5 : 3. If the total amount of money in the box is ₹ 112.50, the number…

ABC26GN3143 · There are 420 coins consisting of one-rupee coins, 50-paise coins and 25-paise coins. If the ratio of their values be 2 : 3 : 5, then the…

ABC26GN3146 · If x is inversely proportional to y and y is proportional to z, then x z · 2007

ABC26GN3147 · The falling height of an object is proportional to the square of the time. One object falls 64 cm in 2 sec then in 6 sec from how much… · 2009

ABC26GN3148 · y varies directly as (x+3) and y=8 when x=1. What is the value of y when x=2 ? · 2006

ABC26GN3149 · The ratio of the rate of flow of water in pipes varies inversely as the square of the radius of the pipes. What is the ratio of the rates… · 2005

ABC26GN3150 · Suppose y varies as the sum of two quantities of which one varies directly as x and the other inversely as x. If y=6 when x=4 and y=3 1/3… · 2006

ABC26GN3152 · S varies directly as R and T varies inversely as R. At some particular time, R=20, S=40 and T=10. If S is changed to 20, then the value of…

ABC26GN3153 · x and y vary inversely with each other. When x is 12, y is 9. The pair which is not a possible pair of corresponding values of x and y is

ABC26GN3156 · The boys and girls in a college are in the ratio 3 : 2. If 20% of the boys and 25% of the girls are adults, the percentage of students who… · 2009

ABC26GN3155 · The weights of two persons A and B are in the ratio of 3 : 5. A's weight increases by 20% and the total weight of A and B together becomes…

ABC26GN3159 · Seeta and Geeta have two glasses of equal volumes. Both have some milk in their glasses. Seeta says to Geeta. "Give me half the milk in… · 2006

ABC26GN3160 · The ratio of land to water for the whole earth is 1 : 2 and 2 : 3 in the northern hemisphere. The ratio of land to water in the southern…

ABC26GN3161 · The price of a diamond varies as the cube of its volume. A cubical variety of this diamond was worth ₹ 10,00,000. If this diamond…

ABC26GN3162 · ₹ 720 are divided among 2 men, 5 women and 8 boys so that the shares of a man, a woman and a boy are in the ratio of 3 : 2 : 1. How much…

ABC26GN3163 · A person distributed two different amounts among his sons A, B, C and D. First amount was distributed in the ratio of 4: 3: 2: 1 and the…

ABC26GN3164 · A sum of money is divided among 160 males and some females in the ratio 16 : 21. Individually each male gets ₹ 4 and a female ₹ 3. The…

ABC26GN3165 · ₹ 180 are to be divided among 66 men and women. The ratio of the total amount of money received by men and women is 5 : 4. But the ratio of…

ABC26GN3167 · A student took five papers in an examination, where full marks were same on each paper. Her marks in these papers were in the proportion of…

ABC26GN3168 · Visitors to a show were charged ₹ 15 each on the first day, ₹ 7.50 on the second day and ₹ 2.50 on the third day. The attendance on the…

ABC26GN3169 · In an express train, the number of passengers travelling in A.C. sleeper class, first class and sleeper class are in the ratio 1 : 2 : 3…

ABC26GN3170 · Railway fares of 1st, 2nd and 3rd classes between two stations were in the ratio of 8: 6: 3. The fares of 1st and 2nd class were… · 2006

ABC26GN3171 · 15 men, 18 women and 12 boys working together earned ₹ 2070. If the daily wages of a man, a woman and a boy are in the ratio of 4 : 3 : 2…

ABC26GN3172 · An employer reduces the number of his employees in the ratio of 9 : 8 and increases their wages in the ratio 14 : 15. The difference in the…

ABC26GN3175 · A man ordered 4 pairs of black socks and some pairs of brown socks. The price of a black pair is double that of a brown pair. While…

ABC26GN3176 · A and B are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2 and 7 : 11 respectively. If equal quantities of the…

ABC26GN3177 · Two alloys contain zinc and copper in the ratio of 2 : 1 and 4 : 1. In what ratio the two alloys should be added together to get a new…

ABC26GN3178 · Two vessels A and B contain milk and water mixed in the ratio 5 : 3 and 2 : 3. When these mixtures are mixed to form a new mixture…

ABC26GN3180 · Two glasses of equal volume respectively are half and three-fourths filled with milk. They are then filled to brim by adding water. Their…

ABC26GN3179 · A dealer buys dry fruit at the rate of ₹ 100, ₹ 80 and ₹ 60 per kg. He bought them in the ratio 12 : 15 : 20 by weight. He in total gets…