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### Mathematical Skills | Ratio and Proportion

 Q. No. 1: P,Q and R enter into a partnership with capitals in the ratio 3:2:1. After 4 months, P leaves the business and after 4 more months Q also leaves the business and R continues till the end of the year. If R takes 10% of the profit for managing the business, then what part of the profit does R get? A : 37% B : 36% C : 27% D : 30% Solution
 Q. No. 2: Rs 4830 is divided among Abhishek, Dishant and Prashant such that if Abhishek's share diminishes by Rs 5, Dishant's ahre diminishes by Rs 10 and Prashant's share diminishes by Rs 15, their shares will be in the ratio 5:4:3. Find the Dishant's original share? A : 1610 B : 2010 C : 2410 D : 1590 Solution
 Q. No. 3: On a certain day, the ratio of the passenger in the 1st class and the second class travelling by train is 1:3. the ratio of the fares collected from each first class and second class passengers is 30:1. If the total amount collected from all the passengers is Rs 1,320. Find the amount in Rs, collected from the second class passengers. A : 240 B : 360 C : 480 D : 120 Solution
 Q. No. 4: 20% of the students in a class failed in an examination. Out of the students who failed, 75% were males. Male students who failed constitute 90% of the economically poor students in the class. What is the ratio of the number of economically poor students to the number of students in the class? A : 1:6 B : 1:4 C : 1:5 D : 5:6 Solution
 Q. No. 5: An outgoing batch of students want to gift a PA system worth Rs 4,200 to their school. If the teachers, offer to pay 50% more than the students, and an external benefactor gives three times the teacher's contribution, then how much should the teachers donate? A : Rs 600 B : Rs 840 C : Rs 900 D : Rs 1,200 Solution
 Q. No. 6: Points A and B are both in the line segment PQ and on the same side of its midpoint. A divides PQ in the ratio 2:3, and B divides PQ in the artio 3:4. If AB =2, then the length of PQ is A : 70 B : 75 C : 80 D : 85 Solution
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