. If cost of a dozen pencils is ₹ 30, then answer the following questions:
a) How many pencils can be bought for ₹ 30?
b) What is the cost of 1 pencil?
c) How many pencils can be bought for ₹ 15?
d) How many pencils can be bought for ₹ 60?
e) How many dozen pencils can be bought for ₹ 90?
Answers
Given,
The Cost of a dozen pencils is ₹ 30
To find,
a) How many pencils can be bought for ₹ 30?
b) What is the cost of 1 pencil?
c) How many pencils can be bought for ₹ 15?
d) How many pencils can be bought for ₹ 60?
e) How many dozen pencils can be bought for ₹ 90?
Solution,
Cost of 12 (a dozen) pencils = Rs. 30
COst of 1 pencil = Rs. 30/12 = Rs. 2.5
Let us find answers of above questions one by one:
a). Number of pencils that can be bought for Rs. 30
= Rs.30/Rs. 2.5 = 12 pencils
b). Cost of 1 pencil = Rs 2.5 (proved above)
c). Number of pencils that can be bought for Rs. 15
= Rs.15/Rs. 2.5 = 6 pencils
d). Number of pencils that can be bought for Rs. 60
= Rs.60/Rs. 2.5 = 24 pencils
e). Number of pencils that can be bought for Rs. 90
= Rs.90/Rs. 2.5 = 36 pencils = 3 dozen pencils
We know, 1 dozen = 12
⇒Cost of 12 pencils given = ₹30
∴ 12 pencils can be bought in ₹30
⇒Cost of 12 pencils = ₹30
⇒Cost of 1 pencil = 30÷12
∴ Cost of 1 pencil = ₹2.5
⇒ Pencils bought for ₹30 = 12
⇒ Pencils bought for ₹15 = 30÷15
∴ Pencils bought for ₹15 = ₹2
⇒Pencils bought for ₹30 = 12
⇒ Pencils bought for ₹60 = 60÷24
∴ Pencils bought for ₹60 = 24
⇒Dozen of pencil bought in ₹30 = 1 dozen
⇒ Dozen of pencil bought in ₹90 = 90÷30
∴ 3 pencils can be bought for ₹90.
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