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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.

When Mohan's selling price of calculator is increased by 20% and marked price is increased by 30%, then his profit doubles, if its initial marked price is Rs300. Then find his initial selling price of calculator?

1. 150

2. 175

3. 200

4. 250

5. None of the above

Correct Answer : 4
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.

If MP of calculator is 150 unit. So, CP will be 100 unit.

Its SP is increased by 20% means ratio of initial and new SP is = R: 6/5R

And increased MP is 30% of initial MP so new MP will be= 150 *130/100=195 unit.

Initial Profit (SP - CP) = R-100

New profit= 6/5R-100

According to Questions:

(R-100) * 2 = [(6R/5)-100]

R= 125 unit = Initial SP

MP is 150 unit.

Old SP = 125 unit.

150 unit = Rs.300

1 unit = Rs.2

125 unit = 125 * 2 = Rs.250

Initial SP will be Rs.250

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