Unitary Method problems
- 1. If 20 articles cost ? 90, then the cost of 9 articles is?
Options- A. ? 45
- B. ? 40.50
- C. ? 4.50
- D. None of these Discuss
Correct Answer: ? 40.50
Explanation:
Cost of 20 articles = ? 90
Cost of 1 article = ? 90/20
? Cost of 9 article = 9 x 90/20 = ? 40.50
- 2. If cost of 24 oranges is ? 72, then find out the cost of 120 oranges.
Options- A. ? 180
- B. ? 360
- C. ? 172
- D. ? 500 Discuss
Correct Answer: ? 360
Explanation:
Let the required cost be ? N.
More orange, more cost (Direct proportion)
24 : 120 : : 72 : N
? N = (120 x 72)/24 = ? 360
- 3. If cost of 12 pens is ? 84, then what is the cost of 10 such pens?
Options- A. ? 90
- B. ? 72
- C. ? 65
- D. ? 70 Discuss
Correct Answer: ? 70
Explanation:
? Cost of 12 pens = ? 84
Cost of 1 pen = ? 84/12
? Cost of 10 pens = (84/12) x 10
= 7 x 10 = ? 70
- 4. If cost of 15 eggs is ? 75, then find out the cost of 4 dozens eggs.
Options- A. ? 240
- B. ? 300
- C. ? 150
- D. ? 185 Discuss
Correct Answer: ? 240
Explanation:
? Cost of 15 eggs = ? 75
? Cost of 1 egg = ? 75/15
? Cost of 4 dozens (4 x 12) = Cost of 48 eggs
= (75/15) x 48 = ? 240
- 5. If 16 dozens bananas cost ? 360, then how many bananas can be bought in ? 60?
Options- A. 16 bananas
- B. 48 bananas
- C. 32 bananas
- D. 50 bananas Discuss
Correct Answer: 32 bananas
Explanation:
Let the required number of bananas be N.
16 dozens bananas = 16 x 12 = 192 bananas
Less bananas, Less cost (Direct proportion)
360 : 60 : : 192 : N
? N = (60 x 192)/360 = 32 bananas
- 6. A worker makes a toy in every 2h. If he works for 80h, then how many toys will he make?
Options- A. 40
- B. 54
- C. 45
- D. 39 Discuss
Correct Answer: 40
Explanation:
Let number of toys be N.
More hours, More toys (Direct proportion)
2 : 80 : : 1 : N
? N = 80/2 = 40 toys
- 7. If 45 m of a uniform rod weight 171 kg, then what will be the weight of 12 m of the same rod?
Options- A. 49 kg
- B. 42.5 kg
- C. 55 kg
- D. 45.6 kg Discuss
Correct Answer: 45.6 kg
Explanation:
Let the required weight be w kg.
Less length, Less weight (Direct proportion)
45 : 12 :: 171 : w
? w = (12 x 171)/45 = 45.6 kg
- 8. In a race , Ravi covers 5 km in 20 min. How much distance will he cover in 100 min?
Options- A. 40 km
- B. 35 km
- C. 26 km
- D. 25 km Discuss
Correct Answer: 25 km
Explanation:
? Distance covered in 20 min = 5 km
? Distance covered in 1 min = 5/20 km
? Distance covered in 100 min = (5/20) x 100
= 5 x 5 = 25 km
- 9. A tree is 12 m tall and casts an an 8 m long shadow. At the same time, a flag pole caste a 100 m long shadow. How long is the flag pole?
Options- A. 150 m
- B. 200 m
- C. 125 m
- D. 115 m Discuss
Correct Answer: 150 m
Explanation:
? 8 m shadow means original height = 12 m
? 1 m shadow means original height = 12/8 m
? 100 m shadow means original height = (12/8) x 100 m
= (6/4) x 100 = 6 x 25 = 150 m
- 10. If the cost of x meters of wire is 'd' rupees, that find the cost (in Rupees) of 'y' meters of wire at the same rate.
Options- A. dy x
- B. x - d
- C. ydx
- D. y + d Discuss
Correct Answer: ydx
Explanation:
Cost of x meters ropes = Rs. d
? Cost of 1 meters ropes = Rs. d /x
? Cost of y meters ropes = Rs. dy/x
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