Question 22
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A person sold a table at a gain of 15%. Had he bought it for 25% less and sold it for ₹ 60 less, he would have made a profit of 32%. The cost price of table was:
- A ₹ 300
- B ₹ 350
- C ₹ 375 Correct
- D ₹ 400
Correct Answer: Option C
Let the cost price of table = ₹ N
Then, selling price with 15% gain
= (100 + Gain%) x CP/100
= (100 + 15)% x CP/100
= (115 x N)/100 = ₹ 115N/100
Now CP = [(100 - 25%) x CP] / 100 = ₹75N/100
New SP = ₹ (115N/100) - 60
Now, according to the question,
[[(115/100 ) - 60) - (75N/100)] / (75N/100)] x 100 = 32
[[(115N - 6000 - 75N)/100 ] / (75N/100)] x 100 = 32
[(40N - 6000)/75N] x 100 =32
(40N - 6000)/(3N x 4) = 32
160N - 24000 = 96N
160N - 96N = 24000
64N = 24000
N = 24000/64
N = ₹375
The cost price of table is ₹ 375.
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