Advertisements
Advertisements
Question
A trademan fixed the selling price of his goods at 40% above the cost price. He sells half his goods at this price, one-forth of his stock at a discount of 15% om the original selling price, and the rest at a discount of 25% on the original selling price. Find the gain percent altogether
Solution
Let the C.P. of each article bought = Rs.100
Let the number of articles bought = x
∴ C.P. of the articles = Rs.100x
M.P. of the articles
= Rs.100 + 40% of Rs.100
= Rs.140
Stage 1 :
No. of articles sold at Rs.140 = `x/(2)`
∴ S.P. of `x/(2)`articles
= Rs.`(140 xx x/2)`
= Rs.70x
Stage 2 :
Discount
= 15% of Rs.140
= `(15)/(100) xx "Rs."140`
= Rs.21
∴ S.P.
= Rs.140 - Rs.21
= Rs.119
No. of articles sold at Rs.119 = `x/(4)`
∴ S.P. of `x/(4)`articles
= Rs.`(119 xx x/4)`
= Rs.29.75x
Stage 3 :
Discount
= 25% of Rs.140
= `(25)/(100) xx "Rs."140`
= Rs.35
∴ S.P.
= Rs.140 - Rs.35
= Rs.105
No. of articles sold at Rs.90 = `x/(4)`
∴ S.P. of `x/(4)`articles
= Rs.`(105 xx x/4)`
= Rs.26.25x
Total S.P. of all articles
= Rs.70x + Rs.29.75x + Rs.26.25x
= Rs.126x
∵ S.P. > C.P., therefore there is a gain
Gain
= Rs.126x - Rs.100x
= Rs.26x
Gain %
= `"gain"/"C.P." xx 100`
= `(26x)/(100x) xx 100`
= 26%.
APPEARS IN
RELATED QUESTIONS
A shopkeeper allows his customers 10% off on the marked price of goods and still gets a profit of 25%. What is the actual cost to him of an article marked Rs 250?
The marked price of the fan is 3000 rupees. Shopkeeper gave 12% discount on it. Find the total discount and selling price of the fan.
A shopkeeper gives 11% discount on a television set, hence the cost price of it is Rs. 22,250. Then find the marked price of the television set.
A man buys a certain number of articles at 15 for Rs. 112.50 and sells them at 12 for Rs.108. Find ;
(i) his gain as percent;
(ii) the number of articles sold to make a profit of Rs.75.
If John sells his bicycle for Rs. 637, he will suffer a loss of 9%. For how much should it be sold, if he desires a profit of 5%?
The cost price of 20 articles is the same as the selling price of 16 articles. Find the gain percent.
A shopkeeper marks his goods at 30 percent above the cost price and then gives a discount of 10 percent. Find his gain percent.
Find the single discount (as a percent) equivalent to successive discounts of:
60% and 80%
Find the discount percentage in the following:
M.P. = Rs. 6840, S.P. = Rs. 5814
A bookseller gives 8% discount on the printed price. What does a customer pay for a book priced at Rs. 150?
A dealer marks his goods 25% above the cost price and then allows 10% discount on it. What is the cost price of an article on which he gains Rs. 575?
Find the M.P. in the following :
S.P. = Rs.1245, Discount = 17%
Find the discount percentage in the folllowing :
M.P. = Rs.6840, S.P. = Rs.5814
Find the discount percentage in the following :
M.P. = Rs.1960, S.P. = Rs.1176
A tradesman sells his goods at 10% discount. What price should he mark on an article that costs him Rs.2400, to gain 12.5%?
A shopkeeper fixes the selling price of his goods at 60% above the cost price. He sells half of his stock at this price, a quarter of his stock at a discount of 25% on the original selling price, and the rest at a discount of 50% on the original selling price. Find the gain percent altogether.
A trader allows a discount of 12% on the marked price of the goods in his shop. He still makes a gross profit of 21% on the cost price. Find the profit percent, he would have made, had he sold the goods at the marked price.
A publisher gives his distributors a discount of 30% on the printed price of the books. The distributor sells those books to a book seller at 23% discount on the printed price and the book-seller sells these books at their printed price. Find the profit percent made by the distributor and the book-seller.
First the difference between a single discount of 40% and two successive discounts of 36% and 4% on Rs.5000.
Find discount in per cent when M.P. = Rs 625 and S.P. = Rs 562.50
