Advertisements
Advertisements
प्रश्न
A shopkeeper sells three mobile phones at Rs. 15000, Rs. 9945 and Rs.5392 respectively. He makes a profit of 25% on the first mobile and `10(1)/(2)`% on the second, but incurs an overall loss `8(1)/(3)`% on the 3 whole transactions. Find the cost price of the third mobile.
उत्तर
S.P. of the first mobile = Rs.15000, profit = 25%
∴ Rs.15000 = `(1 + 25/100)` of C.P.
= `(5)/(4)` of C.P.
⇒ C.P. = Rs.`(15000 xx 4/5)`
= Rs.12000
S.P. of the second mobile
= Rs.9945, profit
= `10(1)/(2)`%
= `(21)/(2)`%
Rs.9945 = `(1 + (21/2)/100)` of C.P.
= `(221)/(200)` of C.P.
⇒ C.P. = Rs. `(9945 xx 200/221)`
Rs.9000
Let the C.P. of the third article be Rs. x.
∴ C.P. of all the three articles
= Rs.12000 + Rs.9000 + Rs.x
= Rs.(21000 + x)
∴ S.P. of all the three articles
= Rs.15000 + Rs.9945 + Rs.5392
= Rs.30337
As the loss incurred on the whole transaction
= `8(1)/(3)`%
= `(25)/(3)`%
So, Rs.30337 = `(1 (25/3)/100)` of Rs.(21000 + x)
⇒ 30337 = `(1 - 1/12) xx (21000 + x)`
⇒ 30337 = `(11/22) xx (21000 + x)`
⇒ `(364044)/(11)` = 21000 + x
⇒ x = `(133044)/(11)`
= Rs.12095 approximately.
APPEARS IN
संबंधित प्रश्न
Mohit sold a T.V. for Rs. 3,600; gaining one-sixth of its selling price. Find :
(i) the gain
(ii) the cost price of the T.V.
(iii) the gain percent.
By selling an article for Rs.704; a person loses 12%. Find his cost price and the loss.
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 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 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.
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.
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?
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.
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.
