Quant by Arun Sharma

MBA CAT 2024
1736
Please help me with this question:

Ch: Profit and Loss LOD - I

In order to maintain the price line, a trader allows a discount of 10% on the marked price of goods in his shop. However, he still makes a gross profit of 17% on the cost price. Find the profit percent he would have made on the selling price had he sold at the marked price.
a) 23.07
b) 30
c) 21.21
d) 25


my take:
b) 30%
1737
Please help me with this question:

Ch: Profit and Loss LOD - I

In order to maintain the price line, a trader allows a discount of 10% on the marked price of goods in his shop. However, he still makes a gross profit of 17% on the cost price. Find the profit percent he would have made on the selling price had he sold at the marked price.
a) 23.07
b) 30
c) 21.21
d) 25

say he sold the item at 117 considering 17 % profit on 100
this was after 10% discount
hence
.9x=117
x=130

so he would have made 30% profit
1738
say he sold the item at 117 considering 17 % profit on 100
this was after 10% discount
hence
.9x=117
x=130

so he would have made 30% profit



Actually that's what I initially thought but that isn't the answer..moreover the question says "profit percent he would have made on the selling price". That's where I am a lil confused..
1739
Please help me with this question:

Ch: Profit and Loss LOD - I

In order to maintain the price line, a trader allows a discount of 10% on the marked price of goods in his shop. However, he still makes a gross profit of 17% on the cost price. Find the profit percent he would have made on the selling price had he sold at the marked price.
a) 23.07
b) 30
c) 21.21
d) 25

Is the answer 23.07?? If it's correct, then I would post my approach.
1740
avinav2712 Says
Is the answer 23.07?? If it's correct, then I would post my approach.



Yes..it is! Plz post the approach..
1741
pway Says
Actually that's what I initially thought but that isn't the answer..moreover the question says "profit percent he would have made on the selling price". That's where I am a lil confused..

ya no idea then sirji

that answer wont come even if you calculate by the sp as 117 and 13 as net profit on that
1742

@ divishth so it means, if the last three digits would've been asked it'd been 1000-3 ... ...

1743

The answer is 30

Solution:

Let the cost be Rs 100.
After selling it at discount he has profit margin of 17%, therefore the price after discount is Rs 117.

There was discount of 10%, which means this was 90% of the original marked price. Marked price = 117/0.9 = 130
Hence marked price was Rs 130.

Therefore, profit that would hv been made if it were sold at marked price is 30%

1744
pway Says
Yes..it is! Plz post the approach..

See, if the marked price is Rs. 100, so he discounts it by 10% and sells at Rs. 90. But he stills gains 17% on the cost price.

Thus, CP = 90 - 17/117*90 = 76.92

Thus, profit if he sells at marked price = 100-76.92 = 23.08
1745
See, if the marked price is Rs. 100, so he discounts it by 10% and sells at Rs. 90. But he stills gains 17% on the cost price.

Thus, CP = 90 - 17/117*90 = 76.92

Thus, profit if he sells at marked price = 100-76.92 = 23.08


yes the answer is absolutely correct bcoz the question is asking the profit %age on selling price...
if it would have asked the profit %age on C.P. then the answer would have been 30%

oa to this question is 23.08 %..
1746
See, if the marked price is Rs. 100, so he discounts it by 10% and sells at Rs. 90. But he stills gains 17% on the cost price.

Thus, CP = 90 - 17/117*90 = 76.92

Thus, profit if he sells at marked price = 100-76.92 = 23.08

:)

he is asking for % age profit and not the profit in amount which you have assumed to be 100 ( assumed )
1747
See, if the marked price is Rs. 100, so he discounts it by 10% and sells at Rs. 90. But he stills gains 17% on the cost price.

Thus, CP = 90 - 17/117*90 = 76.92

Thus, profit if he sells at marked price = 100-76.92 = 23.08



As u explained,
C.P= 76.92
M.P.=100
Profit % shud be ((M.P-C.P)/C.P) * 100 which comes out to be 30%

If we take the profit on S.P. then profit will be ((M.P.-S.P.)/S.P) * 100 which is 11.11%.


I did not understand how the Profit % can be 23.08%. Plz explain
1748
:)

he is asking for % age profit and not the profit in amount which you have assumed to be 100 ( assumed )



Exactly what I mean!!
1749
As u explained,
C.P= 76.92
M.P.=100
Profit % shud be ((M.P-C.P)/C.P) * 100 which comes out to be 30%

If we take the profit on S.P. then profit will be ((M.P.-S.P.)/S.P) * 100 which is 11.11%.


I did not understand how the Profit % can be 23.08%. Plz explain


take an example of
CP = 100, which means
SP = 117, and
MP = 130..

Now the seller sold the item at rs.130..so, now the selling price will be 130..he made the profit of rs.30 on a selling prize of 130..
profit %age would be
=> (30/130)*100
=> 23.08%
1750
pway Says
Exactly what I mean!!

@madnikhil

what are you writing i am not able to understand may be my fault

but if he is selling at 130 he is not making a profit of 30 rs on marked price he is making the profit at sp
how come you sell a thing of 130 at 130 and make a profit of 30 rs
just tell me this

you don't need to justify each and every wrong answer


Please make me understand in a better way
again may be my fault
1751
As u explained,
C.P= 76.92
M.P.=100
Profit % shud be ((M.P-C.P)/C.P) * 100 which comes out to be 30%

If we take the profit on S.P. then profit will be ((M.P.-S.P.)/S.P) * 100 which is 11.11%.


I did not understand how the Profit % can be 23.08%. Plz explain

Oops, I think either my answer or approach is wrong. Will check.

Edit: My approach is correct since the profit %age is on selling price, which I've assumed to be 100 (which was earlier the marked price). Thus, the profit %age is 23.07
1752
take an example of
CP = 100, which means
SP = 117, and
MP = 130..

Now the seller sold the item at rs.130..so, now the selling price will be 130..he made the profit of rs.30 on a selling prize of 130..
profit %age would be
=> (30/130)*100
=> 23.08%



Thanks..The marked price will be the selling price and profit will be calculated on that..now I understand..!! Thanks!!
1753

Hi, please explain me the method for finding the last wo digits when more than three or four numbers are multiplied together e.g.
15X37X63X51X97X17 ----> Q4 , LOD III Ans=35

or as in the case of (201x202x203x204x246x247x248x249)^2 ---> Q 85 LOD II , Ans = 76

Q. 87 (LOD II) Find the remainder when (10^3+9^3)^752 is divided by 12^3 ans =7

1754
Hi, please explain me the method for finding the last wo digits when more than three or four numbers are multiplied together e.g.
15X37X63X51X97X17 ----> Q4 , LOD III Ans=35

or as in the case of (201x202x203x204x246x247x248x249)^2 ---> Q 85 LOD II , Ans = 76

Q. 87 (LOD II) Find the remainder when (10^3+9^3)^752 is divided by 12^3 ans =7

To find the last two digits, we need to divide the expression by 100.

So, solving the first one,

(15x37x63x51x97x17)/100

We can simplify it by dividing by 5,

(3x37x63x51x97x17)/20

So now, finding the remainders and multiplying

3x(-3)x3x(-9)x(-3)x(-3) mod 20
3^7 mod 20 = 3^4 x 3^3 mod 20 = (81x27) mod 20

1x7 = 7 mod 20

Now, since we divided by 5 earlier, we need to multiply this by 5 to get the final result.

Thus, last two digits are 7x5 = 35

I think you can try the other one yourself 😃
1755

Hi i need solution for a question

From 4 gentlemen and 4 ladies a committee of 5 is to be formed.(1 president,1 vice president and three secretaries)

what will be no of ways of selecting the committee with at least 3 women such that at least one woman hols the post of either a president or vice president.

please post the solution