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- Question
Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received Rs.550 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received Rs.605 as interest. What was the value of his total savings before investing in thesetwo bonds?
Options- A. Rs.2543
- B. Rs.2534
- C. Rs.2546
- D. Rs.2750
- Correct Answer
- Rs.2750
ExplanationShawn received an extra amount of (Rs.605 ? Rs.550) Rs.55 on his compound interest paying bond as the interest that he received in the first year also earned interest in the second year.
The extra interest earned on the compound interest bond = Rs.55
The interest for the first year =550/2 = Rs.275
Therefore, the rate of interest = = 20% p.a.
20% interest means that Shawn received 20% of the amount he invested in the bonds as interest.
If 20% of his investment in one of the bonds = Rs.275, then his total investment in each of the bonds = = 1375.
As he invested equal sums in both the bonds, his total savings before investing = 2 x 1375 =Rs.2750.
- 1. The true discount on a bill of $ 1260 is due for 6 months at 10 % per annum is:
Options- A. $ 60
- B. $ 160
- C. $ 80
- D. $ 260 Discuss
- 2. P starts a business with ? 300000 and Q join him after 3 months with ? 1200000. Find the ratio of their profits at the end of the year .
Options- A. 2 : 5
- B. 3 : 5
- C. 5 : 1
- D. 1 : 3 Discuss
- 3. Ravi and Kavi start a business by investing ? 8000 and ? 72000, respectively. Find the ratio of their profits at the end of year.
Options- A. 2 : 9
- B. 5 : 9
- C. 7 : 9
- D. 1 : 9 Discuss
- 4. [137 x 137 + 137 x 133 + 133 x 133] / [137 x 137 x 137 - 133 x 133 x 133] =?
Options- A. 4
- B. 270
- C. 1/4
- D. 1/270 Discuss
- 5. Gopal started a business with Rs. 3000. After 6 months Dinesh also joined him with Rs. 2000. If at the end of the year the profit is Rs. 2600. What is the share of Dinesh in the profit?
Options- A. Rs. 1733
- B. Rs. 1950
- C. Rs. 866
- D. Rs. 650 Discuss
- 6. A, B and C start a business. A invests 3 times as much as B invests and B invests two-third of what C invests. Then, the ratio of capitals of A, B and C is?
Options- A. 3 : 9 : 2
- B. 6 : 10 : 15
- C. 5 : 3 : 2
- D. 6 : 2 : 3 Discuss
- 7. A sum of money is to be divided among A, B and C in the ratio 2 : 3 : 7. If the total share of A and B together is Rs. 1500 less than C. What is A's share in it?
Options- A. Rs. 1000
- B. Rs. 1500
- C. Rs. 2000
- D. Date inadequate Discuss
- 8. Three Hikers A, B and C start on a trip with Rs. 50 each and agree to share the expenses equally. If at the end of the trip. A has Rs. 20 left with him, B Rs.30 and C Rs. 40 how must they settle their accounts?
Options- A. C must pay Rs. 10 to A
- B. A must pay Rs. 10 to B
- C. A must pay Rs. 10 to C
- D. Can't be settled Discuss
- 9. Five time of a position integer is equal to 3 less then twice the square of that number. Find the number.
Options- A. 3
- B. 13
- C. 23
- D. 33 Discuss
- 10. 30 quintals is what percent of 2 metric tonnes?
Options- A. 15%
- B. 1.5%
- C. 150%
- D. 30% Discuss
More questions
Correct Answer: $ 60
Explanation:
Correct Answer: 1 : 3
Explanation:
P's share : Q's share = (300000 x 12) : (1200000 x 9)
= 36 : 108 = 1 : 3
Correct Answer: 1 : 9
Explanation:
Ratio of profit = Ratio of investments
= 8000 : 72000 = 1 : 9
Correct Answer: 1/4
Explanation:
Given exp. = [ a2 + ab + b2 ] / [a3 - b3] where a = 137, b = 133
= 1/(a - b)
= 1/(137- 133)
=1/4
Correct Answer: Rs. 650
Explanation:
Ratio between the investment of Gopal and Dinesh = (3000 x 12) : (2000 x 6)
= 36000 : 12000
= 3 : 1
Dinesh's share = [1/(3 +1)] x 2600 = Rs. 650
Correct Answer: 6 : 2 : 3
Explanation:
Suppose C invests Rs. x then, B invests Rs. 2x/3 and A invests Rs. 2x
? Ratio of investment of A, B, C = 2x : (2x/3) : x = 6 : 2 : 3
Correct Answer: Rs. 1500
Explanation:
? 7x - (2x + 3x) = Rs. 1500
&rArr x = Rs. 750
? Share of A = 2x = Rs. 1500
Correct Answer: C must pay Rs. 10 to A
Explanation:
All should have equal amount of money at the end of trip. So C must pay Rs. 10 to A
Correct Answer: 3
Explanation:
Let the number be N
According to the question 5N = 2N2 - 3
? 2N2 - 5N -3 = 0
? (N - 3) (2N + 1) = 0
N = 3 & -1/2
Thus the required number is 3
Correct Answer: 150%
Explanation:
Required percent = {30/(2 x 10)} x 100 % = 150%
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