Subject
Quantitative Aptitude
Topic
Percentage
David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A or 240% of the amount invested in Scheme B, what was the amount invested in Scheme B?
David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A or 240% of the amount invested in Scheme B, what was the amount invested in Scheme B?
ক)
Rs. 5000খ)
Rs. 6500গ)
7500ঘ)
None of theseঙ)
Cannot be determinedExplanation
Let x, y and z be the amounts invested in schemes A, B and C respectively. Then, As we know: Simple interest (S.I.) = principal amount (P) x interest rate (r) x time (t) /100 (x × 10 × 1/100) + (y × 12 × 1/100) + (z × 15 × 1/100) = 3200 = 10x + 12y + 15z = 320000 …(i) Now, z = 240% of y = 12y/5 …(ii) And, z = 150% of x = 3x/2 => x = 2/3 z = (2/3) × (12/5) × y = 8y/5 …(iii) From (i), (ii) and (iii), we have 16y + 12y + 36y = 320000 => 64y = 320000 => y = 5000 ∴ Sum invested in Scheme B = Rs.5000Related questions
The true discount on a bill of Tk. 540 is Tk. The banker's discount is:The present worth of a sum due sometime hence is Tk. 576 and the banker's gain is Tk. The true discount is:In a class, 120 students are male and 100 students are female 25% of the male students and 20% of the female students are engineering students. 20% of the male engineering students and 25% of the female engineering students passed the final exam, what percentage of engineering students passed the exam?Tk. 20 is the true discount on Tk. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?if 75% of a number is added to then the result is the number itself . The some of the number isThe present worth of Tk. 2310 due 2×(1/2) years hence, the rate of interest being 15% per annum, is:The banker's gain on a bill due 1 year hence at 12% per annum is Tk. The true discount is:A sum of money invested at compound interest amounts to Rs 4624 in 2 yrs and Rs 4913 in 3 yrs. The sum of money is