Question

Sanjay sold an article at a loss of 25% if the selling price had been increased by rs 175 there would have been a gain of 10% what was its cp​

Answer 1

An article is sold at 25% loss but if on increasing the S.P. there is a gain of 10% then the C.P. is Rs. 500.

Step-by-step explanation:

Step 1:

Let the C.P. of the article be Rs. “x”.

The article was sold at 25% loss

Therefore,

The selling price of the article is given by,

= $\frac{100-L}{100} * C.P.$

= $\frac{100-25}{100} * x$

= $\frac{75}{100}x$

= $\frac{3x}{4}$ …… (i)

Step 2:

It is also given that if the S.P. of the article is increased by Rs. 175 and then it is sold then there is a gain of 10%, therefore, we can write the eq. as,

S.P. = $\frac{100+G}{100} * C.P.$

⇒ $\frac{3x}{4}$ + 175 = $\frac{110}{100} * x$ ….. [substituting G = 10%  and value of S.P. from (i)]

⇒ 0.75x + 175 = 1.1x

⇒ 0.35x = 175

⇒ x = $\frac{175}{0.35}$

⇒ x = Rs. 500

Thus, the cost price of the article is Rs. 500.

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Answer 2

Answer: 500

Step-by-step explanation:

A Product was sold at a loss of 25%.

i.e Selling Price (SP) = 75% of Cost Price (CP) ----Eq.1

SP + Rs.175 = 110% CP ----Eq.2

Replace SP from Eq.1 in Eq.2

75% CP + Rs.175 = 110% CP

Rs.175 = 110% CP - 75% CP

Rs.175 = 35% CP = 35 CP / 100

Rs.175 X 100 / 35 = CP

Rs.500 = CP

When the SP of a product sold at 25% loss was increased by Rs.175 then there was a profit of 10%. This means the addition of Rs.175 is worth 35% of CP, because it not only recovered the 25% loss but also gave a profit of 10%. So, 175 is 35% of CP, 1% of CP equals to 1/35 of 175, i.e 5, hence 100% CP equals 500