English

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. - Mathematics

Advertisements
Advertisements

Question

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.

Sum
Advertisements

Solution

Let the C.P. of 3 watches be Rs. x.

∴ C.P. of 1 watch
= Rs.`x/(3)`

⇒ C.P. of 10 watches
= Rs.`(10x)/(3)`
Loss on selling 10 watches
= C.P. of 3 watches
= Rs.x
S.P. of 10 watches is Rs.1400
Loss incurred on selling 10 watches
= C.P. of 3 watches
= Rs.x
Since C.P. - S.P. = Loss
⇒ Rs.`(10x)/(3) - "Rs".1400`
= Rs.x

⇒ `(10x - 4200)/(3)` = x

⇒ 10x - 4200 = 3x
⇒  7x = 4200
⇒  x = 600

Hence, C.P. of a watch
= Rs.`x/(3)`

= Rs.`(600)/(3)`
= Rs.200.

shaalaa.com
To Find C.P., When S.P. and Gain (Or Loss) Percent Are Given
  Is there an error in this question or solution?
Chapter 2: Profit , Loss and Discount - Exercise 2.2

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 2 Profit , Loss and Discount
Exercise 2.2 | Q 2

RELATED QUESTIONS

Find the cost price, if :
S.P. = Rs. 1,680 and profit = 12%


By selling an article for Rs.900; a man gains 20%. Find his cost price and the gain.


A tape-recorder is sold for Rs. 2,760 at a gain of 15% and a C.D. player is sold for Rs. 3,240 at a loss of 10% Find :
(i) the C.P. of the tape-recorder
(ii) the C.P. of the C.D. player.
(iii) the total C.P. of both.
(iv) the total S.P. of both
(v) the gain % or the loss % on the whole


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?


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.


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 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.


A stationer gains 20% by selling pens at 12 for Rs.72. How many pens 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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×