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Q. A person sells his old bike at a loss of 25%. If he had bought the bike for 15% less cost and sold it for Rs. 270 more than the original selling price, he would have lost only 10%. The cost price of the bike is

Q. एक व्यक्ति 25% की हानि पर अपनी पुरानी बाइक बेचता है। अगर उसने 15% कम लागत में बाइक खरीदी थी और उसे 270 रुपये अधिक में बेचा था तो वह केवल 10% खो देगा। बाइक की लागत है:


A

27,000
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B

21,600
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C

20,000
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D

18,000
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Solution

The correct option is D
18,000

Let the cost of the bike be = X
Then, the person sold it for = 0.75X
If he had bought the bike for 0.85x and sold it for 0.75X+270, he would have only lost 10%.
0.75X+270 = 910×0.85X
Which means that 0.015X = 270
So, X = 18000

माना बाइक की लागत = X
फिर, व्यक्ति ने इसे = 0.75X में बेच दिया
अगर उसने 0.85x में बाइक खरीदी थी और उसे 0.75X + 270 में बेचा था, तो उसे केवल 10% का नुकसान हुआ होगा।
0.75X+270 = 910×0.85X
जिसका अर्थ है कि 0.015X = 270
x = 18000

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