## Problems on percentage

Aptitude Solved Problems

Questions :

1. A man purchased a bicycle for Rs. 4800 and sold it immediately at Rs. 5995, allowing the buyer a credit of one and a half years. If the rate of interest is 6%, then find the man gains ?

2. A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man:

3. Raja and Ravi invest in a business in the ratio 3 : 2. Assume that 5% of the total profit goes to charity. If Raja share is Rs. 855, what is the total profit?

Answers :

1. Answer :Rs. 700

2. Answer :Rs. 50

3. Answer :Rs. 1500

1. Explanation:

Amount = Rs. 4800

Selling price ( Present Worth of Rs. 5995 due 1.5 years ) = ( Amount * 100 ) / ( 100 + ( Rate * Time ))

= ( 5995 * 100 ) / ( 100 + ( 6 * 1.5 ))

= ( 5995 * 100 ) / ( 100 + 9 )

= ( 5995 * 100 ) / 109

= ( 55 * 100 )

= 5500

Gain = Selling Price – Cost price

= ( 5500 – 4800 )

= Rs. 700

∴ Gain of the man is Rs. 700.

2. Explanation:

Selling price = Present Worth Rs. 2200 due 1 year.

Present Worth = Rs. 2200

Time = 1 year

Rate of interest = 10%

Present Worth = ( 100 * Amount ) / 100 + ( Rate * Time )

= ( 2200 * 100 ) / 100 + ( 10 * 1 )

= Rs. 2000

Gain = ( Selling Price – Cost price )

Gain = Rs. (2000 – 1950)

= Rs. 50

∴ His Gain is Rs. 50.

3. Explanation:

Assume that the total profit is x

Since 5% goes for charity,

95% of x will be divided between Raja and Ravi in the ratio 3 : 2

Therefore, Raja profit

= ( 95x / 100 ) * 3 / 5

Given that Raja share is Rs. 855. Therefore,

( 95x / 100 ) * ( 3 / 5 ) = 855

( 95x / 100 ) = 855 * ( 5 / 3 )

( 95x / 100 ) = ( 285 * 5 )

x = 1425

x = ( 1425 * 100 ) / 95

= ( 285 * 100 ) / 19

= 1500

∴ Hence the total profit is Rs. 1500.