Question
In what ratio must a person mix three kinds of rice
costing him Rs 1.16,Rs 1.40 and Rs 1.72 per Kg so that the mixture may be worth Rs 1.37 per Kg?Solution
Mix rice of first and third kind to get a mixture worth Rs 1.37 per Kg. C.P of 1 Kg rice of 1st kind 116p C.P of 1 Kg rice of 3rd kind 172p Mean Price 137p 1st kind       3rd kind 116           172        137 35            21 5       :      3 By Alligation rule: Quantity of 1st kind of rice/ Quantity of 3rd kind of rice = 5/3 So they must be mixed in the ratio 5:3 Mix rice of 1st kind and 2nd kind to obtain a mixture worth of Rs. 1.37per Kg 1st kind           2nd kind  116               140         137 3         :         21 1         :         7  By alligation rule: Quantity of 1st kind of rice/Quantity of 2nd kind of rice = 1/7 So they must be mixed in the ratio 1:7 Thus, Quantity of 2nd kind of rice /Quantity of 3rd kind of rice = (Quantity of 1st kind of rice / Quantity of 3rd kind of rice) × (Quantity of 2nd kind of rice / Quantity of 1st kind of rice) ⇒ Quantity of 2nd kind of rice/ Quantity of 3rd kind of rice = (5/3 × 7/1) = 35:3 Thus, Quantities of wheat of 1st : 2nd : 3rd = 5:35:3
A person spent 30% of his monthly income on food and 60% of the remaining on rent. If amount spent on rent is Rs 840, then find the amount spent ...
Number p is 15% more than 150. If k is 15% less than p, then k is equal to:
Out of her total income, Meena spent 15% on groceries, 25% on food and 10% on transport. If she spent 30% of the remaining on entertainment and saved th...
- Initially, Rina’s salary was Rs. 40,000 and the ratio of her expenditure to her savings was 3:5. After a salary increase, she reduced her expenditure by ...
Income of A is 52% of the Income of B and A together. The saving of B is 30% of his Income and equals to Rs. 8100. Find the difference between the incom...
Out of 840 students in a college, the proportion of boys to girls is 3:4. In the midterm exam, 15% of boys and 10% of girls failed. How many students fa...
If the student scores 25% marks then he is failed by 150 marks. But if he scores 55% marks then he is passed with 180 marks. Find the passing percentage?
An army lost 20% its men in war, 20% of the remaining due to diseases and 20% of the rest were disabled. Thus, the strength was reduced to 64,000 active...
A sum of money invested at simple interest amounts to Rs. 16800 in 2 years and to Rs. 23100 in 9 years. What is the rate of simple interest per annum?
The marks scored by a boy in three subjects are in the ratio 2 : 3 : 4. Boy scored an overall aggregate of 75% in the exam. If the maximum marks in each...
Relevant for Exams:
