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- Question
- The present ages of Vikas and Vishal are in the ratio 15:8. After ten years , their ages will be in the ratio 5:3. Find their present ages
Options- A. 60 years, 32 years
- B. 32 years,60 years
- C. 15 years,8 years
- D. 8 years,15 years
- Correct Answer
- 60 years, 32 years
ExplanationMethod 1
Let us assume the ratio factor is x.
Therefor the present ages of Vikas and Vishal be 15x years and 8x years.
After 10 years
vikas's age = 15x + 10 and Vishal' age = 8x + 10
According to question,
(15x+10)/(8x+10) = 5/3
? 3(15x + 10) = 5(8x + 10)
? 45x + 30 = 40x + 50
? 5x =20
? x = 20/5
? x = 4
Therefore Present age of Vikas = 15x = 15 x 4 = 60 years
and Present age of Vishal = 8x = 8 x 4 = 32 years
Method 2
Let us assume the present age of Vikas = x years and Vishal's present year = y years
According to question,
Present age of Vikas/ Present age of Vishal = 15/8
? x/y = 15/8
? 8x = 15y
? 8x - 15y = 0
? x = 15y/8 .................................(1)
After 10 years Vikash age = x + 10 and vishal age = y + 10
Ratio of age after 10 years = 5/3
(x + 10)/(y + 10) = 5/3
? 3(x + 10) = 5(y + 10)
? 3x + 30 = 5y + 50
? 3x - 5y = 50 - 30
? 3x - 5y = 20 ................................(2)
Put the value of x from equation (1) in above equation (2).
? 45y/8 - 5y = 20
? 45y - 40y = 20 x 8
? 5y = 20 x 8
? y = 4 x 8 = 32
Put the value of Y in equation (1)
x = 15 x 32/8 = 15 x 4 = 60
Therefore Present age of Vikas = x = 60 years
and Present age of Vishal = y = 32 years - 1. The ratio of length and breadth of a rectangle is 5 : 3 .If length is 8 m more than breadth, find the area of the rectangle.
Options- A. 300 sq m
- B. 250 sq m
- C. 240 sq m
- D. 185 sq m Discuss
- 2. What rate percent does a man get for his money when in discounting a bill due 10 months hence he deducts 4% of the amount of the bill?
Options- A. 5%
- B. 6%
- C. 8%
- D. 4% Discuss
- 3. The face value of a bill due 5 yr hence is ? 13800. If the rate of simple interest is 5% per annum, what will be the banker's gain at the bill?
Options- A. ? 690
- B. ? 600
- C. ? 590
- D. ? 625 Discuss
- 4. The true discount on a bill 24 months, hence at 24% per annum, is ? 144. What will be the banker's discount?
Options- A. ? 213.12
- B. ? 415
- C. ? 515.12
- D. ? 616 Discuss
- 5. In a game of 160 points, A can give 10 points to B and 30 points to C. How many points B can give C in a game of 60?
Options- A. 10
- B. 15
- C. 6
- D. 8 Discuss
- 6. The true discount on a bill for Rs. 2520 due 6 months hence at 10 % per annum is :
Options- A. Rs. 180
- B. Rs. 140
- C. Rs. 80
- D. Rs. 120 Discuss
- 7. In 1 km race, P beats Q by 72 m in 12 s. Find the P's time over the course.
Options- A. 1552/3 s
- B. 151 s
- C. 1542/3 s
- D. 160 s Discuss
- 8. The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. What is the present worth?
Options- A. Rs. 600
- B. Rs. 500
- C. Rs. 400
- D. Rs. 300 Discuss
- 9. The banker's gain on a bill due 1 year hence at 5% is Re. 1. The true discount is?
Options- A. ? 15
- B. ? 20
- C. ? 25
- D. ? 5 Discuss
- 10. The true discount on a bill of Rs. 1860 due after 8 months is Rs. 60. Find the banker's gain?
Options- A. Rs. 1.5
- B. Rs. 2.5
- C. Rs. 4
- D. Rs. 2 Discuss
More questions
Correct Answer: 240 sq m
Explanation:
Let length of rectangle = 5k
and breadth of rectangle = 3k
According to the quecation,
5k - 3k = 8
? 2k =8
? k = 4
? Lenght = 5k = 5 x 4 = 20 m
Breadth = 3k = 3 x 4 = 12 m
? Required area = Lenght x Breadth
= 20 x 12 = 240 sq m
Correct Answer: 5%
Explanation:
Let the amount of bill be Rs. 100
Money deducted = Rs. 4
Money receive by holder of the bill = Rs. (100 - 4) = Rs. 96
S.I. on Rs. 96 for 10 months = Rs. 4
Rate = [(100 x 4 x 6) / (96 x 5)] = 5%
Correct Answer: ? 690
Explanation:
Give that A = ? 13800 , R = 5%
T = 5 yr and BG = ?
According to the formula,
BG = [A(R x T)2] / [100(100 + R x T)]
= [13800(5 x 5)2] / [100(100 + 5 x 5)]
= (13800 x 625) / (100 x 125)
= ? 690
Correct Answer: ? 616
Explanation:
Given that, R = 24%, T = 24 months= 2 yr and TD = ? 144
BD = TD + BG
According to the formula,
BG = (TD x R x T)/100 = (144 x 24 x 2)/100
= ? 69.12
? BD = 144 + 69.12 = ? 213.12
Correct Answer: 8
Explanation:
A : B = 160 : 150, A : C =160 : 130
B/C = (B/A) x (A/C) = (150/160) x (160/130) = 15/13 = 60 : 52
? In a game of 60, B can give C = (60 - 52)= 8 points
Correct Answer: Rs. 120
Explanation:
Given in the question,
Face Value = 2520;
Time = 6 months = 1/2 year
Rate of interest = 10 %
As we know the formula,
True Discount = Face Value x ( Rate of Interest x Time in years ) / ( 100 + Rate of interest x Time )
? True Discount = 2520 x (10 x 1/2 ) / (100 + (10 x 1/2 ))
? True Discount = 2520 x ( 5 ) / (100 + ( 5 ))
? True Discount = 2520 x 5 /105
? True Discount = 2520 / 21
? True Discount = Rs. 120
Correct Answer: 1542/3 s
Explanation:
According to the formula,
Time taken by the winner/Distance covered by the loser = Difference of winning time/ Difference of winning distance
? Time taken by P//(1000 - 72) = 12/72
? Time taken by P = (12/72) x 928
= 464/3 = 1542/3 s
Correct Answer: Rs. 600
Explanation:
Correct Answer: ? 20
Explanation:
T.D. = (B.G x 100) / (R x T)
= (1 x 100) / (5 x 1)
= ? 20
Correct Answer: Rs. 2
Explanation:
P.W. = Rs. 1860 - Rs. 60 = Rs. 1800
? B.G. = (T.D.)2/P.W. = (60 x 60)/1800 = Rs. 2
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