Problems on application of Proportions and Unitary method

Problems on application of Proportions and Unitary method

#### A man leaves ₹12600 to be divided among 7 sons, 3 daughters and 5 nephews. If each daughter receives three times as much as each nephew and each son receives seven times as much as each nephew, then each daughter’s share is? 1. [ ] ₹700 2. [ ] ₹650 3. [x] ₹600 4. [ ] ₹750 #### The cost of a piece of diamond varies with the square of its weight. A diamond of ₹5,184 value is cut into 3 pieces whose weights are in the ratio 1:2:3. FInd the loss involved in the cutting. 1. [ ] ₹3068 2. [ ] ₹3,088 3. [ ] ₹3175 4. [x] ₹3,168 #### In a partnership business, A invests 1/6th of the capital for, 1/6 of the total time, B invest 1/4 of the capital for 1/4 of the total time and C, the rest of the capital for the whole time. Out of a profit of ₹19,400 , B’s Share is? 1. [ ] ₹2000 2. [ ] ₹1200 3. [ ] ₹1600 4. [x] ₹1800 #### A jar contains a mixture of two liquids A and B in the ratio 4:1. When 10 litre of the mixture is replaced with liquid B, the ratio becomes 2:3. The volume of liquid A present in the jar earlier was: 1. [ ] 20ltr 2. [ ] 10ltr 3. [x] 16ltr 4. [ ] 15ltr #### A and B are partners in a business . A contribute 1/4 of the capital for 15 months and B received 2/3 of the profit . Find for how long B’s money was used? 1. [ ] 6 months 2. [ ] 8 months 3. [x] 10 months 4. [ ] 12 months