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251.

A person sells two fans for Rs. 3200. The cost price of the first fan is equal to the selling price of the second fan. If the first is sold at 40% loss and the second at 100% gain, what is total profi

Answer»

Rs. 200



Let the COST price of 1st fan = SELLING price of second fan = Rs 100
∴ Selling price of 1st fan = 60(Because loss is 40%)
Cost of second fan = 50 (Because profit is 100%)
Total cost = 100 + 50 = 150
and total selling price = 60 + 100 = 160
When total SP = 160,
then totalcost = 150
∴ When SP = 3200,
then cost = 150/160 x 3200 = 3000
∴ Profit = 3200 - 3000 = 200
Discussion
252.

A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?

Answer»

RS. 40



800*(25/100) = 200 ---- 5
? ---- 1 => 1*200/5=> Rs.40
Discussion
253.

A retailer sold two articles at a profit percentage of 10% each. The cost price of one article is three – fourth that of the other. Find the ratio of the selling price of

Answer»

4 : 3



Let
Discussion
254.

A stationer buys diaries at 75 rupees per dozen and sells them at 15 rupees per piece. What is the profit?

Answer»

105 rupees



Each dozen carries COST 75 rupees and are SOLD for
12 x 15 = 180 rupees
profit = SP-CP
profit = 180-75 = 105 rupees
Discussion
255.

A dealer buys an article marked at Rs. 25,000 with 20% and 5% off. He spends Rs. 1,000 for its repairs and sells it for Rs. 25,000. What is his gain or loss per cent?

Answer»

25 % GAIN



25 % gain
Discussion
256.

An article is sold at a profit of 20%. If it had been sold at a profit of 25%, it would have fetched Rs.35 more. The cost price of the article is

Answer»

RS. 700



The DIFFERENCE in percentage i.e. 25% - 20% =5% = Rs.35

i.e. 5% of the cost PRICE = Rs.35; :. CP = 35 × 100/5 = Rs.700.
Discussion
257.

Sadhna bought a watch at 24% discount on the selling price. If the watch cost her Rs 779, what is the original selling price of the watch ?

Answer»

Rs. 1025



Let the ORIGINAL selling PRICE = X 
THEREFORE, x x 76/100 = 779
Therefore, x = 77900/76 = 1025
Discussion
258.

A man sells an article at 10% gain. Had be sold at for Rs.60/- more he could have gained 20% what is cost price of article

Answer»

Rs. 600



First selling price = 110 % -----> X RUPEES 
=sold at for Rs.60/- = 120 % -----> X + 60 Rupees 

-

----------------------------------------------

10 % --------> 60

100 % ------->Rs.600/-

OR 
Short cut method : 
---------------------------
Profit,Profit = - 
Ptofit,Loss = + 
Loss,Loss = - 
Loss,Profit = + 
---------------------------
OPPOSITE ==> + 
SAME ===> - 
----------------------------
Profit ==> 10 % 
profit ==> 20% 

-

----------------

10 % ---------> 60

100 % --------> Rs.600/-
Discussion
259.

The cost price of an item is two-third of its selling price. What is the gain/loss percent on that item?

Answer»

50 %



SP = X

CP = 2x/3

Profit = x-2x/3 = x/3

Profit PERCENT = x/3 / 2x X 100/3 = x/3 X 3/2x X 100

=100/2 = 50%
Discussion
260.

The marked price of an article is 200. A discount of 12 ½% is allowed on the marked price and a profit of 25% is made. The cost price of the article is

Answer»

140



The SP = 200 – 12 ½% of 200 = 175 = 125% of the CP;

:. CP = 175 ×100/125 = 140
Discussion
261.

A man sells two articles at 99 each. On one he gains 10% and on the other he loses 10%. What is his loss percent on the whole transaction?

Answer»

1 % loss



If there is a gain of a% and loss of a% in SELLING two ARTICLES for the same cost each, there will be ALWAYS a

loss. Loss PERCENT = a²/100 %.

So, here the loss percent = 10²/100 = 1% Loss.
Discussion
262.

If selling price of an article is 8/5 times its cost price, then profit percent on it is

Answer»

60 %



LET the cost PRICE be 10.

Then, SP = 10 × 8/5 = 16. 

So, profit = 6 and profit PERCENT = 60%.
Discussion
263.

If cost price is 80, overhead is 20 and selling price is 120, then the profit percent is

Answer»

20 %



The CP = 80 + 20 = 100.

The SP = 120; and the profit = 120 – 100 = 20 i.e. = 20%
Discussion
264.

The ratio of cost price of two articles was 2:3, by selling getting the gain 10% and 20% then what is the percentage of gain

Answer»

16%



2:3 

2x:3x 

10 % of 2x = 10/100 * 2x = x/5 

20 % of 3x = 20/100 * 3x = 3x/5 

x/5 + 3x/5 = (x+3x)/5 ==> 4x/5 

=(4x/5)/5x * 100 = 4x/25x * 100 = 16% 


Short CUT method: 

2:3

200 : 300

in 200 = 10% ---> 20

in 300 = 20% ---> 60

20 + 60 = 80 % GAIN

= 80/500 * 100 = 16%

Discussion
265.

Akash sold a walkman for Rs. 795. If he made a 6% profit on the cost price, what was the original cost price of the walkman ?

Answer»

Answer: A) 750

Given is PROFIT 6%

Sold PRICE= 795

Cost price? 

Solution:

6% of 795 is 47.7

=Sold price -profit

= 795 -47.7

=747.3

747 is close to the 750 that is OPTION A) 750

Correct answer is option A) 750

 
Discussion
266.

The cost of 14 bats and 35 balls is Rs 1190. What will be the cost of 16 bats and 40 balls ?

Answer»

Rs. 13600



Let the COST of a bat be X and that of a BALL be y.
∴ 14X + 35y = 1900
Discussion
267.

Ramesh purchased 64 items at Rs 450 per item. He invested Rs 1600 in transportation of these items. What should be the selling price of each item if he has to gain 20% as profit ?

Answer»

RS. 570



Total cost PRICE = (64 x 450) + 1600 = 28800 + 1600 = 30400
For 20% profit, SP = 30400 x 120/100 = 36480
∴ SP per ITEM = 36480/64 = 570
Discussion
268.

Mr X sold an item to Mr Y at 8% discount on print rate. The discount value was 710304. If the print rate includes 12% profit on the purchase cost, what is the purchase cost ?

Answer»

RS. 10,000



Cost PRICE = 10304 X 100/92 x 100/112 = Rs 10000
Discussion
269.

The labelled price of a product is Rs. 840. If it is sold at a 40% discount, the dealer earns 20% profit. What is the cost price ?

Answer»

RS. 420



S.P of the PRODUCT = Rs. (60/100 X 840)
Discussion
270.

At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?

Answer»

RS. 62.50



CP = 47.50
SP = 47.50*(125/100) = 59.375
MP*(95/100) = 59.375
MP = 62.5
Discussion
271.

A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?

Answer»

Rs. 600



Cost PRICE = Rs.500
PROFIT = 20% of 500 = Rs.100
Selling price = Cost price + Profit
= 500 + 100 = 600
Discussion
272.

By selling an article at Rs.600, a profit of 25% is made. Find its cost price?

Answer»

RS. 480



SP = 600
CP = (SP)*[100/(100+P)]
= 600 * [100/(100+25)]
= 600 * [100/125] = Rs.480
Discussion
273.

A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?

Answer»

100%



MP = 100
CP =
Discussion
274.

By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?

Answer»

Rs. 480



SP = 800
Profit = 25%
CP = (SP)*[100/(100+P)]
= 800 * [100/125]
= 640
LOSS = 25% = 25% of 640 = Rs.160
SP = CP - Loss = 640 - 160 = Rs.480
Discussion
275.

The selling price of 13 apples is the same as the cost price of 26 mangoes. The selling price of 16 mangoes is the same as the cost price of 12 apples. If the profit on selling mangoes is 20%, What is

Answer»

25 %



GIVEN
Discussion
276.

A ball pen factory decided to reduce its production by 10% over that of previous month for next 3 months starting from February 1999. In January 1999, it produced 3000 ball pens. How many ball pens we

Answer»

2430



The no. of BALL pens PRODUCED in JANUARY 1999 = 3000 given,

“ February 1999 = 3000 – 300 = 2700

“ March 1999 = 2700 – 270 = 2430.
Discussion
277.

If the cost price of 50 oranges is equal to the selling price of 40 oranges, then the profit per cent is

Answer»

25 %



Because the COST price of 50 ORANGES = Selling price of 40 oranges

The profit is 10 oranges out of 40 oranges;

THEREFORE, the profit percent = 10 × 100/40 = 25%.
Discussion
278.

7000 bricks were purchased for Rs.5740. The cost of transportation of these bricks to construction sight was Rs.805. What was the overall cost per thousand bricks?

Answer»

RS. 935



The total COST of 7000 BRICKS including transportation

= Rs.5740 + Rs.805 = Rs.6545

Overall cost PER 1000 bricks = 6545/7 = Rs.935.
Discussion
279.

Chamanlal purchased 20 dozen note books @ Rs.48 per dozen. He sold 8 dozen at 10% profit and the remaining12 dozens with 20% profit. What is the profit percentage in this transaction?

Answer»

16 %



Total cost PRICE = 20 × 48 = Rs.960/-

Amount of first selling = 8 × Rs.52.80 = Rs.422.40

Amount of SECOND selling = 12 × Rs.57.60 = Rs.691.20

Total selling price = 422.40 + 691.20 = Rs.1113.60

Profit = 1113.60 – 960 = Rs.153.60

Therefore profit per cent in this transaction = 153.60 × 100/960 = 16%.
Discussion
280.

A man sells two tables at the same price. On one he makes a profit of 10% and on the other he suffers a loss of 10%. His loss percent on the whole transaction is

Answer»

1 % loss



Note: If there is an INCREASE and decrease same percent, say,”a%” then there is ALWAYS a loss

of a²/100.

Therefore, in this PROBLEM, a = 10, and therefore, loss percent = 10²/100

= 1% loss.
Discussion