Question

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.​

Answer 1

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.

Answer 2

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