Question
"R" made certain investments with a 40% annual compound
interest rate that is compounded quarterly. If, 9 months later, he receives Rs. 1,99,650, then the amount invested by 'R' is equal to:Â I. Interest earned on Rs. 1,25,000 invested for four years at a simple interest rate of 30% per annum. II. The cost of an item that sells for Rs. 2,40,000 after a 40% profit. III. The difference between 'P' and 'Q''s' savings, assuming that each of them spends 40% of their respective salaries of Rs. (a + 406320) and Rs. (a + 156320).Solution
ATQ, Effective rate of interest = 40 ÷ 4 = 10% p.a. And effective time period = (9/12) X 4 = 3 terms We know that for compound interest, Amount = Sum X {1 + (rate of interest/100) }time period Let the sum invested be Rs. 'S' So, 199650 = S X {1 + (10/100) }3 Or, 199650 = S X (1.1)3 Or, 199650 = 1.331S So, S = 1,50,000 Therefore, sum invested = Rs. 1,50,000 For I: Interest received = (125000 X 0.3 X 4) = Rs. 1,50,000 Therefore, statement I is true. For II: Cost price of the article = (240000/1.4) = Rs. 171428.57 Therefore, statement II is false. For III: Difference between savings of 'P' and 'Q' = 0.6 X (a + 406320) - 0.6 X (a + 156320) = 0.6 X (406320 - 156320) = 0.6 X 250000 = Rs. 1,50,000 Therefore, statement III is true.
105 people could complete a work in 36 days. But after they worked together for 7 days their employer wanted the work should be completed in a total of ...
A can do a work in 15 days, B in 20 days. They start together, but A leaves after 4 days. In how many days is the work completed?
A work can be completed by ‘A’ and ‘B’, alone in 14 days and 7 days, respectively. Find the number of days taken by ‘C’ to complete the same...
Anupam can do a piece of work in 36 days and Rajveer can do it in 15 days. Diksha can do the same work in (17/18) times the number of days required by b...
A, B and C can complete a work in 10, 20 and 15 days respectively. A left the work 3 days before the work was completed and B left 1 days after A had le...
Working together, A and B can do a certain work in 45 days. They work together for 10 days. They complete the remaining work in 28 days with the assista...
14 boys can do a work in X days and 22 girls can do the same work in (X + 10).The ratio of work done by 7 boys and 9 girls in the same time is in the ra...
'X' and 'Y' together can complete the work in 24 days. 'Y' alone can complete the work in 40 days. If Z is 33.33% more efficient than X, find the time ...
- Ritu completes 50% of a project in 25 days, while Sheetal completes 40% in 32 days. Ritu works for 30 days and then stops. Find the time Sheetal needs to f...
'A' is capable of completing a specific task on their own in 20 days. 'B' can independently handle 60% of the same task in 18 days. If 'A' and 'B' colla...
Relevant for Exams:
