## P & L, Average, Simple Interest

Aptitude Solved Problems
Questions :

1. Three friends Rohan, Kamal and Arjun start a business as partners. Twice Rohan′s capital is equal to thrice Kamal′s capital. Also, thrice Rohan′s capital is four times Arjun′s capital. What is Arjun′s share in the total profit of Rs. 7540 after one year?

2. The present worth of a bill due sometime hence is Rs. 1100 and the true discount on the bill is Rs. 110. Find the banker′s discount and the banker′s gain ?

3. In the first 15 overs of a cricket game, the run rate was only 4.2. What should be the run rate in the remaining 35 overs to reach the target of 282 runs?

4. How much time will it take for an amount of Rs. 500 to yield Rs. 50 as interest at 5% per annum of simple interest?

1. Rs. 2340.

2. Rs. 11 and Rs. 121.

3. 6.25.

4. 2 years.

1. Explanation:

Let Rohan′s share = x.
Kamla′s share = y.
Arjun′s share = z.
⇒ 2x = 3y
y = ( 3 / 2 )x
⇒ 3x = 4z
z = ( 4 / 3 )x
x : y : z = 1 : ( 2 / 3 ) : ( 3 / 4 )
= 12 : 8 : 9
Arjun′s Share = ( 9 * 7540 ) / 29
= Rs. 2340

∴ Arjun′s share in the total profit is Rs. 2340.

2. Explanation:

Banker′s Discount = ( True Discount )2 / Present Worth
= Rs. [ ( 110 )2 / 1100 ]
= Rs. [ ( 110 * 110 ) / 1100 ]
= Rs. 11
Banker′s Discount = ( True Discount + Banker′s Gain )
= Rs. ( 110 + 11 )
= Rs. 121

∴ The banker′s discount and the banker′s gain are Rs. 11 and Rs. 121.

3. Explanation:

Run Rate = 4.2
Runs scored in the first 15 overs = ( 15 * 4.2 )
= 63
Total runs = 282
Remaining runs to be scored = ( 282 – 63 )
= 219
Remaining overs = 35
Run rate needed = ( 219 / 35 )
= 6.25

∴ The run rate will be 6.25.

4. Explanation:

Simple Interest = ( Principal * Time * Rate ) / 100
Pricipal = Rs.500
Rate = 5 %
Simple interest = Rs.50
Time = ( Simple Interest * 100 ) / (Principal * Rate )
Time = ( 50 * 100 ) / ( 500 * 5 ) years
= 10 / 2
= 2 years

∴ Time taken is 2 years.