Primer – Ratio proportion, Partnership, Averages, T&W ans TSD

Q.1. A construction company is planning to invest in a road and railway line construction in the ratio 4 : 5. If the amount invested in the railway line construction was 6 million, how much money did the company invest in all?

Q.2. A certain sweet recipe needs 4 kg sugar for every 9 kg of wheat. If 143 kg of this sweet is to be made, how much sugar is required?

Q.3. The incomes of three friends – P, Q, R – are in the ratio 5 : 7 : 9 and their corresponding expenditures are in the ratio 7 : 9 : 11. If P saves Re. 1 out of every Rs. 3 that he earns, what is the ratio of the savings of P, Q and R.

Q.4. A certain sum was divided among three friends – Ram, Raj and Jai. If both Ram and Raj would have received Rs. 25 less and Jai would have received Rs. 50 more, their shares would have been in the ratio 6 : 10 : 9. If Raj would have received Rs. 1,250 after deduction, what amount was actually distributed?

Q.5. An election is conducted in a village. 15% of the votes cast are rejected as invalid. The valid votes are split among 3 candidates A, B and C. A and C have received votes in the ratio 1 : 3. B won the election by getting 42000 votes. If B beat his nearest rival by 32,700 votes, how many votes were cast?

Q.6. P, Q and R are three numbers in continued proportion such that P = 0.6 and Q = 18. What is the value of R.

Q.7. Rakesh has coins of 50 paise, 25 paise and Rs. 1.50 in the ratio 1 : 2 : 3 (Rakesh stays in a country where all are valid currency coins. Also, in his country, 1 rupee = 100 paise). How many coins of 25 paise does Rakesh have, if he has got Rs.6,600 in all?

Q.8. The pocket money of three brothers A, B and C is 3 : 4 : 5. If Rs. 50 extra is given to A and C together, what will A and C now get? The average pocket money received by them initially is Rs. 84.

Q.9. The call rates of mobile companies X, Y and Z are in the ratio 3 : 2 : 4. If the call rates are decreased by 24%, 16% and 28% respectively, what will be the new ratio of call rates?

Q.10. The annual income of Mr. X and Mr. Y is in the ratio 9 : 8 and their expenditures are in the ratio 5 : 4. If both individually manage to save Rs. 5,000, then B’s expenditure is:

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