By selling a sewing machine a trader makes a profit of 15%. Had it been sold for Rs. 120 more,the profit would have been 20%. Find its cost price.
Answers
Answered by
2
Answer:
Suppose the cost price of article is x
At 25% loss,
S.P =x−
100
25x
=
100
75x
=Rs.
4
3
x
At 5% profit,
S.P=x+
100
5x
=
100
105
x=Rs.
20
21
x
Accordingly,
20
21
x−
4
3
x=60
⇒
20
21x−15x
=60
⇒
20
6x
=60
⇒x=
6
60×20
=200
∴ The cost price of article is Rs.200.
Answered by
6
Given:
- By selling a sewing machine a trader makes a profit of 15%. Had it been sold for ₹ 120 more, the profit would have been 20%.
To Find:
- Its Cost price.
Required Solution:
Let the cost price be ₹100.
If, sold at a profit of 15%
⇛ S.P. = ₹(100 + 15) = ₹115
If, sold at a profit of 20%
⇛ S.P. = ₹(100 + 20) = ₹120
Increase in actual gain = ₹(120 - 115) = ₹5
With supposed gain of ₹5,
- C.P. = ₹100
With supposed gain of ₹1,
- C.P. = ₹100/5 = ₹20
With supposed gain of ₹120,
- C.P. = ₹(20 × 120) = ₹2400
⠀Hence, cost price is ₹2400
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