Advertisements
Advertisements
प्रश्न
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?
उत्तर
Let A buy the cycle for Rs. x.
For A, C.P. of the cycle = Rs. x + Rs. 110
Profit = 20%
`"S.P."/"C.P." = 1 + "Profit"/(100)`
⇒ `"S.P."/(x + 110) = 1 + (20)/(100)`
⇒ `"S.P."/(x + 110) = (100 + 20)/(100)`
⇒ S.P. = `(120)/(100) (x + 100)`
= Rs.`(12)/(10)(x + 110)`
For B, C.P. of the cycle = Rs.`(12)/(10)(x + 110)`
Loss = 10%
`"S.P."/"C.P." = 1 - "Loss"/(100)`
⇒ `"S.P."/(12/10(x + 110)) = 1 - (10)/(100)`
⇒ `"S.P."/(12/10(x + 110)) = (100 - 10)/(100)`
⇒ S.P. = `(90)/(100) (12)/(10) (x + 110)`
= Rs. `(9)/(10).(12)/(10)(x + 110)`
For C, C.P. of the cycle
= Rs. `(9)/(10).(12)/(10)(x + 110)`
Profit = 10%
S.P. of the cycle
= Rs.`(1 + 10/100) (9)/(10).(12)/(10)(x + 110)`
= Rs. `(11)/(10).(9)/(10).(12)/(10)(x + 110)`
ATQ, `(11)/(10).(9)/(10).(12)/(10)(x + 110)`
= 1188
⇒ x + 110 = 1000
⇒ x = 1000 - 110
= 890
∴ A paid Rs.890 for the cycle.
APPEARS IN
संबंधित प्रश्न
By selling a certain number of goods for Rs. 5,500; a shopkeeper loses equal to one-tenth of their selling price. Find :
(i) the loss incurred
(ii) the cost price of the goods
(iii) the loss as a percent.
A man sold his bicycle for Rs.405 losing one-tenth of its cost price, find :
(i) its cost price;
(ii) the loss percent.
Find the cost price, if :
S.P. = Rs. 1,680 and profit = 12%
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.
Raju sells a watch at a 5% profit. Had he sold it for Rs.24 more; he would have gained 11%. Find the cost price of the watch.
Renu sold an article at a loss of 8 percent. Had she bought it at 10% less and sold for Rs.36 more; she would have gained 20%. Find the cost price of the article.
The difference between selling an article at 8% profit and at 12% profit is Rs.72. Find the cost price of the article and also the two selling prices.
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.
Two bicycles are sold for the same price, gaining 20% on one and losing 20% on the other. Find the cost price of each bicycle, if Rs.180 is lost in the whole transaction.
