Advertisements
Advertisements
प्रश्न
A briefcase was sold at a profit of 15%. If its cost price was 5% less and it was sold for Rs.35 less, the gain would have been 20%. Find the cost price of the briefcase.
Advertisements
उत्तर
Let the C.P. of the briefcase is Rs. x
Profit = 15%
S.P. = C.P. + profit
= Rs. x + 15% of Rs. x
= Rs.1.15x
In the later case, C.P.
= Rs. x - 5% of Rs. x
= Rs. 0.95x
S.P. = Rs.(1.15x - 35)
∴ Gain = S.P. - C.P.
= Rs.(1.15x - 35) - Rs.0.95x
= Rs.(0.2x - 35)
Gain % = 20%
⇒ `"gain"/"C.P." xx 100` = 20
⇒ `((0.2x - 35)/(0.95x)) xx 100` = 20
⇒ `((0.2x - 35)/(0.95x))` = 0.20
⇒ 0.2x - 35 = 0.19x
⇒ 0.01x = 35
⇒ x = 3500
∴ C.P. of the briefcase is Rs.3500.
संबंधित प्रश्न
A man sold his bicycle for Rs.405 losing one-tenth of its cost price, find :
(i) its cost price;
(ii) the loss percent.
A man sold a radio-set for Rs.250 and gained one-ninth of its cost price. Find ;
(i) its cost price;
(ii) the profit percent.
Find the cost price, if :
S.P. = Rs. 1,680 and profit = 12%
Find the cost price, if :
S.P. = Rs. 1,128 and loss = 6%
On selling coffee at Rs.135 per kg a loss of 10% is incurred. Calculate the amount of coffee sold, if the total loss incurred is Rs.180.
On selling 10 watches at Rs. 1400 there is a loss equal to the cost price of 3 watches. Find the cost price of a watch.
A shirt was sold for Rs.1265 at a gain of 15%. Had the selling price been Rs.55 more, the gain would have been 20%. Find the cost price of the shirt.
A manufacturer sells an article to a dealer at a profit of 10%. the dealer sells to the retailer at a profit of 8% and the retailer sells to the customer at a profit of 5%. If the customer pays Rs.12474 for the article, calculate the cost of manufacturing the same.
A stationer gains 20% by selling pens at 12 for Rs.72. How many pens should he sell for Rs.100. to gain 25%?
By selling 80 bananas for Rs. 240 a fruit seller loses 25%. How many bananas should he sell for Rs.100 to gain 25%.
