- A shopkeeper offers his customers 10% discount and still makes a profit of 26%. What is the actual cost of an article marked Rs 280?
- A person sells an article for Rs 550, gaining 1/10 of its C.P. Find gain%.
plzz answer these.,!!
1. The the C.P. (actual cost) be n.
Marked price = Rs.280
According to the question, if the shopkeeper offers 10% discount on Rs.280, he makes a profit of 26% on n.
26% of n = 26/100 x n = 26n/100
Gain of 20% on n = n + 26n/100
Next, 10% of 280 = 28. 10% off on 280 = Rs.280 - Rs.28 = Rs.252.
According to the question,
252 = n + 26n/100
=> 252 = 100n + 26n
100
=> 252 = 126n/100 next, we will do cross-multiplication.
=> 126n = 252 x 100
=> 126n = 25200
=> n = 25200/126
=> n = 200
Therefore, the C.P. of the article is Rs.200
2. Let C.P. of the article be n.
Given,
S.P. = Rs.550
Gain amount = 1/10 of n or n/10
Gain of 1/10 of n on n = n + n/10
According to the question,
550 = n + n/10
=> 550 = 10n + n
100
=> 550 = 11n/10 next, we will do cross multiplication.
=> 11n = 550 x 10
=> 11n = 5500
=> n = 5500/11
=> n = 500
Therefore, the C.P. of the article is Rs.500
The person sold it for Rs.550
Gain amont = Rs.550 - Rs.500 = Rs.50
Gain percent = 50/500 x 100 = 10%
Therefore, the gain percent is 10%