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.
APPEARS IN
संबंधित प्रश्न
A fruit-seller sells 4 oranges for Rs. 3, gaining 50%. Find :
(i) C.P. of 4 oranges,
(ii) C.P. of one orange.
(iii) S.P. of one orange.
(iv) profit made by selling one orange.
(v) a number of oranges brought and sold in order to gain Rs. 24.
A man sold a bicycle at 5% profit. If the cost had been 30% less and the selling price Rs.63 less, he would have made a profit of 30%. What is the cost price of the bicycle?
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.
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 man buys two cycles for a total cost of Rs.8000. By selling one cycle at a loss of 20% and the other at a profit of 30%, he makes a profit of Rs.650 on the whole transaction. Find the cost price of each cycle.
A man bought two transistor radios which cost him Rs.7200. He sold one of them at a loss of 15% and the other at a gain of 19%. If the selling price of both the transactors is same, find the cost price of each.
A stationer gains 20% by selling pens at 12 for Rs.72. How many pens should he sell for Rs.100. to gain 25%?
A bought a cycle and spent Rs.110 on its repair. He then sold it to B at 20% profit. B sold it to C at 10% loss. C sold it for Rs.1188 at 10% profit. How much did A pay for the article?
By selling 80 bananas for Rs. 240 a fruit seller loses 25%. How many bananas should he sell for Rs.100 to gain 25%.
Satish sells a washing machine for Rs. 8,900 and makes a profit of 20%. He sells another washing machine at a loss of 15%. If on the whole, he neither gains nor loses, find the cost price of the second washing machine.
