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- Question
The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?
Options- A. Sum = Rs.400 and Time = 5 years
- B. Sum = Rs.200 and Time = 2.5 years
- C. Sum = Rs.400 and Time = 2.5 years
- D. Sum = Rs.200 and Time = 5 years
- Correct Answer
- Sum = Rs.400 and Time = 2.5 years
ExplanationBD = Rs.100
TD = Rs.80
R = 10%BD = Simple interest on the face value of the bill for unexpired time= FTR/100
=> T = 2.5 years
- 1. In fig., AB || CD, ?a is equal to:
Options- A. 93°
- B. 103°
- C. 83°
- D. 97° Discuss
- 2. A man purchases two clocks A and B at a total cost of Rs. 650. He sells A with 20% profit and B at a loss of 25% and gets the same selling price for both the clocks. What are the purchasing price of A and B, respectively?
Options- A. Rs. 225, Rs 425
- B. Rs. 250, Rs. 400
- C. Rs. 275, Rs. 375
- D. Rs. 300, Rs. 350 Discuss
- 3. Raja invested ? 15000 at the rate of 10 % pa for 1 yr. If the interest is compound half-yearly, then find the amount received by Raja at the end of the year.
Options- A. ? 16537.50
- B. ? 18000
- C. ? 19000.50
- D. ? 20000 Discuss
- 4. The value of k for which kx + 3y - k + 3 = 0 and 12x + ky = k, have infinite solutions, is
Options- A. 0
- B. -6
- C. 6
- D. 1 Discuss
- 5. 8, 24, 12, 36, 18, 54, (....)
Options- A. 27
- B. 108
- C. 68
- D. 72 Discuss
- 6. solve 6x + 3y = 7xy and 3x + 9y = 11xy.
Options- A. x=1, y=3/2
- B. x=-1, y = 3/2
- C. x=3/2, y=1/2
- D. x=1, y= -3/2 Discuss
- 7. The numerator of a fraction is 6x + 1 and the denominator is 7 - 4x, x can have any value between -2 and 2, both included. The values of x for which the numerator is greater
Options- A. 3/5 < x ? 2
- B. 3/5 ? x ? 2
- C. 0 < x ? 2
- D. -2 ? x < 2 Discuss
- 8. Divide Rs. 600 among A, B and C so that Rs. 40 more than 2/5th of A's share,Rs. 20 more than 2/7th of B's share and Rs. 10 more than 9/17th of C's share may all be equal. What is A's share?
Options- A. Rs. 280
- B. Rs. 150
- C. Rs. 170
- D. Rs. 200 Discuss
- 9. Deepak has some hens and some goats. If the total number of animal heads is 90 and the total number of animal feet is 248, what is the total number of goats Deepak has?
Options- A. 32
- B. 36
- C. 34
- D. Cannot be determined Discuss
- 10. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
Options- A. 2 : 5
- B. 3 : 5
- C. 4 : 5
- D. 6 : 7 Discuss
More questions
Correct Answer: 93°
Explanation:
CD || AB (Given)
Produce RQ to meet AB in S
?CRS = ?PSR (at. int. ?s)
But ?CRS = 55°
? ?PSR = 55°
Now in QSP
?QSP + ?QPS + ?PQS = 180°
55° + 38° + ?SQP = 180°
? ?SQP = 180° ? 93° = 87°
But angle a and ?PQS are linear
?a = 180° ? 87°
?a = 93°
Correct Answer: Rs. 250, Rs. 400
Explanation:
Let the cost price of watch A = Rs. N
Then, cost price of watch B = Rs. (650 - N)
Now, selling price of watch A = (120 x N) / 100 = Rs. 6N/5
Also, selling price of watch B = (650 - N) x (75/100) = Rs. {3 x (650 - N)}/4
As, according to the question, two selling prices are equal.
? 6N/5 = {3 x (650 - N)}/4
? 8N = 5 x (650 - N)
? 8N + 5N = 5 x 650
? 13N = 5 x 650
? N = (5 x 650)/13 = 250
? Cost price of watch A = Rs. 250
and cost price of watch B = (650 - 250) = Rs. 400
Correct Answer: ? 16537.50
Explanation:
Given P = ? 15000 , R = 10 %
and n = 1 yr
Accounting to the formula,
Amount = P(1 + R/(2 x 100))2n
= 15000 x (1 + 5/100 )2
= 15000 x (105/100 )2
= 15000 x (21/20) x (21/20)
= ? 16537.50
Correct Answer: 6
Explanation:
For infinite solution
a1/a2 = b1/2 = c1/c2
? K/12 = 3/K = (-K + 3)/ -K
? K/12 = 3/K
? K2 = 36
? K = ?36 = 6
Correct Answer: 27
Explanation:
So, the next number = 54 ? 2 = 27.
Correct Answer: x=1, y=3/2
Explanation:
Given equation are 6x + 3y = 7xy
? (6/y) + (3/x) = 7 .....(i)
And 3x + 9y = 11xy
? (3/y) + (9/x) = 11 .....(ii)
On multiplying Eq. (ii) by 2 and subtracting from Eq. (i), we get
(6/y) + (3/x) = 7
(6/y) + (18/x) = 22
-------------------------
- 15/x = - 15
? x = 1
On putting this value in Eq. (i), we get
(6/y) + 3 = 7
? 6/y = 4
? y = 6/4 = 3/2
Correct Answer: 3/5 < x ? 2
Explanation:
6x + 1 > 7 - 4x
? x > 3/5
? 3/5 < x ? 2
Correct Answer: Rs. 150
Explanation:
? 2A/5 + 40 = 2B/7 + 20 = 9C/17 + 10 = k
? A = 5(k - 40)/2, B =7(k - 20)/2 and C = 17(k - 10)/9
? 5(k - 40)/2 +7(k - 20)/2 +17/(k - 10 )/9 = 600
? 45k - 1800 + 63k - 1260 + 34k - 340 = 10800
? 142k = 14200
? k = 14200 / 142 = 100
Hence A's share = (5/2) x ( 100 - 40) = Rs. 150
Correct Answer: 34
Explanation:
Let hens = H, goats = G
According to the question,
H + G = 90 ...(i)
2H + 4G = 248 ...(ii)
On multiplying Eq. (i) by 2 and subtracting from Eq. (ii) , we get
2H + 2G = 180
2H + 4G = 248
-------------------
-2G = -68
? G = 34
Correct Answer: 4 : 5
Explanation:
| Then, first number = 120% of x = | 120x | = | 6x |
| 100 | 5 |
| Second number = 150% of x = | 150x | = | 3x |
| 100 | 2 |
| ∴ Ratio of first two numbers = | ❨ | 6x | : | 3x | ❩ | = 12x : 15x = 4 : 5. |
| 5 | 2 |
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