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- Question
A man walks 6 km at a speed of 112 kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find the average speed of the man in kmph. A) 4314 B) 4213 C) 2413 D) 3414
Options- A. Option A
- B. Option B
- C. Option C
- D. Option D
- Correct Answer
- Option B
ExplanationMan walked 6 km at 1.5 kmph, again he walked 8 km at speed of 2 kmph and 40 km at a speed of 8kmph
time taken indivisually:
=> 6/1.5 = 4 m
=> 8/2 = 4 m
=> 40/8 = 5 mAverage speed of man= total distance/ total time
=> 54/13 = kmph - 1. What annual payment will discharge a debt of Rs. 580 due in 5 years, the rate being 8% per annum?
Options- A. Rs. 166.40
- B. Rs. 65.60
- C. Rs. 100
- D. Rs. 120 Discuss
- 2. If a sum of money double itself in 20 years. What is the rate of simple interest per cent per year?
Options- A. 4%
- B. 8%
- C. 5%
- D. 10% Discuss
- 3. Mr. Patel borrowed Rs. 8000 from Mr. Chobey at simple interest. After 2 years he paid Rs. 800 more than what be borrowed and thus cleared the loan. What was the rate of interest?
Options- A. 6
- B. 8
- C. 5
- D. None of these Discuss
- 4. Rs. 4200 amounts to Rs. 5712 in 4 years. If rate of interest is increased by 3%. What will be the amount?
Options- A. Rs. 6372
- B. Rs. 4000
- C. Rs. 6216
- D. Rs. 3000 Discuss
- 5. At simple interest of 5%, 6% and 8% for three consecutive years, the interest earned is ? 760. find the principle.?
Options- A. ? 4600
- B. ? 3200
- C. ? 4000
- D. ? 3600 Discuss
- 6. Mr. Deepak invested an amount of ? 21250 for 6 yr. At what rate of simple interest, will he obtain the total amount of ? 26350 at the end of 6 yr?
Options- A. 6% pa
- B. 5% pa
- C. 8% pa
- D. 12% pa Discuss
- 7. The simple interest on a sum of money at 10% per annum for 6 year is half the sum. Then, the sum is?
Options- A. Rs 5000
- B. Not possible
- C. Rs 4000
- D. Rs 6000 Discuss
- 8. A certain sum lent out at simple interest amounts to Rs 575 in 3 yr and to Rs 625 in 5 yr. Then the rate of interest is?
Options- A. 3%
- B. 4%
- C. 5%
- D. 7% Discuss
- 9. The simple interest on a sum of money is 1/9 of the principle and the number of years is equal to the rate percent annum. The rate percent annum is?
Options- A. 3
- B. 1/3
- C. 31/3
- D. 3/10 Discuss
- 10. A man invested 1/3 of his capital at 7%, 1/4 at 8% and remainder at 10%. If his annual income is Rs. 561, the capital is?
Options- A. Rs. 5400
- B. Rs. 6000
- C. Rs. 6600
- D. Rs. 7200 Discuss
More questions
Correct Answer: Rs. 100
Explanation:
Let the annual installment be Rs. P
Then, [P + (P x 4 x 8)/100] + [P + (P x 3 x 8) / 100] + [P + (P x 2 x 8)/100 ] + [ P + (P x 1 x 8)/100] + P = 580
? 33P/25 + 31P/25 + 29P/25 + 27P/25 + P = 580
? (120 + 25)P = 580 x 25
? P = 100
Correct Answer: 5%
Explanation:
Let the principal = Rs. P
? Amount = Rs. 2P
? Interest = 2P - P = Rs.P
? Rate = (interest x 100) / (Principal x 20) = (P x 100) / (P x 20) = 5%
Correct Answer: 5
Explanation:
Rate = (Interest x 100) / (Principal x Time)
= (800 x 100) / (8000 x 2)
= 5%
Correct Answer: Rs. 6216
Explanation:
S.I = Principal x Rate x Time / 100
? Amount - Principal = Principal x Rate x Time / 100
? 5712 - 4200 = (4200 x Rate x 4) /100
? 1512 = 42 x 4 x Rate
Rate = 1512 / (42 x 4) = 9%
On increasing 3%, new rate of interest = 9 + 3 = 12%
Simple interest on new rate = (4200 x 12 x 4) / 100 =Rs. 2016
Amount = Principal + Interest = 4200 + 2016 = Rs. 6216
Correct Answer: ? 4000
Explanation:
Let the principle be ? P .
Then,
(P x 1 x 5)/100 + (P x 1 x 6)/100 + (P x 1 x 8)/100 = 760
? 5P/100 + 6P/100 + 8P/100 = 760
? 19P = 760 x 100
? P = (760 x 100)/19 = ? 4000
Hence, the principle is ? 4000.
Correct Answer:
Explanation:
SI = 26350 - 21250 = ? 5100
? Rate = (SI x 100) / (Principal x Time)
= (5100 x 100) / (21250 x 6)
= 4%
Correct Answer: Not possible
Explanation:
Let the sum be Rs 'y'
Since Simple Interest = Rs ( y / 2)
and, T = 6 yr , R = 10% per annum
So Simple Interest, SI = (P x R x T)/100
where, R = Rate
T = Time
SI= Simple Interest
now, According to problem, ( y / 2 ) = ( y x 10 x 6)/100
? (1/2)=(6/10)
? which is not true, so it is not a possible case.
Correct Answer: 4%
Explanation:
Let the sum be Rs 'y' and , rate of interest = R%
Simple Interest for 2 yr =Rs( 625 - 575 ) = Rs 50
? Sum of money, y=Rs( 575 - 75)= Rs 500
? R= [(100 x SI)/(Sum x Time)]
=[(100x 75)/(500 x 3)]=5 %
Correct Answer: 31/3
Explanation:
Let principle = Rs. P
Then S.I = P/9
Let Rate = R% per annum and time = R years
Then, as we know SI = (P x R x T) / 100.
? P/9 = ( P x R x R) / 100
? R2 = 100/9
? R = 10/3 = 31/3 % per annum
Correct Answer: Rs. 6600
Explanation:
Let the capital be Rs. P, then
(P/3) x (7/ 100) + (x/4) x (8/100) + [P - (P/3 + P/4)] x 10/100 = 561
? 7P/300 + P/50 + P/24 = 561
? 42P + 36P + 75P = 1009800
P = 1009800/153 = 6600
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