## Unitary Method

#### Unitary Method

1. If 20 articles cost ₹ 90, then the cost of 9 articles is ?
1. ₹ 45
2. ₹ 40.50
3. ₹ 4.50
4. None of these

1. Cost of 20 articles = ₹ 90
Cost of 1 article = ₹ 90/20

##### Correct Option: B

Cost of 20 articles = ₹ 90
Cost of 1 article = ₹ 90/20
∴ Cost of 9 article = 9 x 90/20 = ₹ 40.50

1. If cost of 24 oranges is ₹ 72, then find out the cost of 120 oranges.
1. ₹ 180
2. ₹ 360
3. ₹ 172
4. ₹ 500

1. Let the required cost be ₹ N.
More orange, more cost (Direct proportion)
24 : 120 : : 72 : N

##### Correct Option: B

Let the required cost be ₹ N.
More orange, more cost (Direct proportion)
24 : 120 : : 72 : N
∴ N = (120 x 72)/24 = ₹ 360

1. If cost of 12 pens is ₹ 84, then what is the cost of 10 such pens ?
1. ₹ 90
2. ₹ 72
3. ₹ 65
4. ₹ 70

1. ∵ Cost of 12 pens = ₹ 84
Cost of 1 pen = ₹ 84/12

##### Correct Option: D

∵ Cost of 12 pens = ₹ 84
Cost of 1 pen = ₹ 84/12
∴ Cost of 10 pens = (84/12) x 10
= 7 x 10 = ₹ 70

1. If cost of 15 eggs is ₹ 75, then find out the cost of 4 dozens eggs.
1. ₹ 240
2. ₹ 300
3. ₹ 150
4. ₹ 185

1. ∵ Cost of 15 eggs = ₹ 75
∴ Cost of 1 egg = ₹ 75/15
∴ Cost of 4 dozens (4 x 12) = Cost of 48 eggs

##### Correct Option: A

∵ 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

1. If 16 dozens bananas cost ₹ 360, then how many bananas can be bought in ₹ 60 ?
1. 16 bananas
2. 48 bananas
3. 32 bananas
4. 50 bananas

1. 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

##### Correct Option: C

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