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Previous Year Questions

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Question :

Directions : There are 3 shopkeepers who deal in 2 stationery items, pen and calculator. Below table shows the cost price, profit/loss percentage, marked price, selling price and discount percentage of stationery items (pen and calculator) sold by shopkeepers (Gopal, Mohan and Sohan).

CalculatorPen
ShopkeeperCost PriceProfit & Loss%Marked PriceSelling PriceDiscount%Cost PriceProfit & Loss%Marked PriceSelling PriceDiscount%
Gopal5R--7.5R--20%5R--8R--50%
Mohan2R--3R-----5R--7.5R--20%
Sohan--+60%----20%6R--13.5 R--50%

Note: Some of the data in above table are missing.

Mohan sold his pen to Sohan and Sohan sold this at a profit of Rs.20 and the selling price of pen of Sohan is 30% more than the cost price of pen of Mohan. Find profit percent of Sohan?

1. 16(2/3)%

2. 8(1/3)%

3. 10(2/3)%

4. 8(2/3)%

5. 12(8/9)%

Correct Answer : 2
Solution :
CalculatorPen
ShopkeeperCost PriceProfit & Loss%Marked PriceSelling PriceDiscount%Cost PriceProfit & Loss%Marked PriceSelling PriceDiscount%
Gopal5R--7.5R--20%5R--8R--50%
Mohan2R--3R-----5R--7.5R--20%
Sohan--+60%----20%6R--13.5 R--50%

CP denotes Cost Price.

MP denotes Marked Price.

SP denotes Selling Price.

For Mohan:

CP of Pen = 5R

SP of Pen = MP * (100-20)/100 = 7.5R * 80/100 = 6R

For Sohan:

CP of Pen = 6R

SP of Pen = (6R + 20) ..... eq.(1)

Given, the selling price of pen of Sohan is 30% more than the cost price of pen of Mohan which means SP of pen of Sohan = 5R * 130/100 = 6.5R ..... eq.(2)

Now after equating eq.(1) and eq.(2), we have

6.5R = 6R + 20

.5R = 20

R = 40

CP of Pen of Sohan = 6R = 6 * 40 = Rs.240

SP of Pen of Sohan = 240 + 20 = Rs.260

Profit% = (260-240)/240 * 100 = 8(1/3)%

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