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
Answers
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,
=
=
=
= …… (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. =
⇒ + 175 =
….. [substituting G = 10% and value of S.P. from (i)]
⇒ 0.75x + 175 = 1.1x
⇒ 0.35x = 175
⇒ x =
⇒ x = Rs. 500
Thus, the cost price of the article is Rs. 500.
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An article is at 10% more than the CP. If the discount of 10%is aloud then which of the following is right ? a. 1%gain b.1%loss c. no gain no loss d. 1.1 %loss
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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