## Aptitude Solved Problems

Questions :

1. Anshu buys an old bike for Rs. 4700 and spends Rs. 800 on its repairs. If she sells the bike for Rs. 5800, her gain percent is :

2. A story book was sold for Rs. 27.50 with a profit of 10%. If it were sold for Rs. 25.75, then would have been percentage of profit and loss ?

3. A boy buys an article for Rs. 27.50 and sells it for Rs 28.60. Find his gain percent.

1. Answer :5 ( 5 / 11 ) %

1. Explanation:

Cost Price = Rs. ( 4700 + 800 )
= Rs. 5500.
Selling Price = Rs. 5800.
Gain = Selling Price – Cost Price
= Rs. ( 5800 – 5500 )
= Rs. 300
Gain % = ( Gain / Cost Price ) * 100
Gain % = ( 300 * 100 / 5500 ) %
= ( 30000 / 5500 )
= ( 60 / 11 )
= 5 ( 5 / 11 ) %
∴ Her gain percent is 5 ( 5 / 11 ) %

2. Explanation:

Selling Price = [( 100 + Gain % ) * Cost Price ] / 100
Cost Price = ( 100 / 110 ) * 27.50
= 25
Profit = Selling Price – Cost Price
= ( 25.75 – 25 )
= Rs. 0.75
Profit % = ( 0.75 * 100 ) / 25
= 3 %
∴ The percentage of profit is 3 %

3. Explanation:

Cost Price = Rs. 27.50
Selling Price = Rs. 28.60
Gain = Selling Price – Cost Price
Gain = 28.60 – 27.50
= Rs. 1.10
Gain % = ( Gain / Cost Price ) * 100
= ( 1.10 / 27.50 ) * 100
= ( 110 / 27.50 )
= 4 %
∴ His gain percent is 4 %