Official Quant thread for CAT 2013

MBA CAT 2024
10121
@Brooklyn said:
look commision means the seller gets that much %age of amount. Lets say i sell article for 1000 and my commision is 20% so i get 200Rs.
Yes correct... But u r the seller here... Not the producer... So u ll get 200Rs. n remaining 800 goes to producer... N on that producer is getting profit...(Which is 8.8% in our q) Isn't it?
10122
@Brooklyn said:
look commision means the seller gets that much %age of amount. Lets say i sell article for 1000 and my commision is 20% so i get 200Rs.
so basically it is the profit of the seller
10123
@adwaitjw said:
Yes correct... But u r the seller here... Not the producer... So u ll get 200Rs. n remaining 800 goes to producer... N on that producer is getting profit...(Which is 8.8% in our q) Isn't it?
well i dont think its gonna be dat complex !!
10124
@Brooklyn said:
well i dont think its gonna be dat complex !!
May b!! Better we shud check the OA first... @jain4444 bhai OA plz...
10125
@jain4444 jain bhai kaha gaye ap
10126
@jain4444 said:
How many ways can the digits 1,2,3,4,5,6,7,8,9 be arranged so that no even digit is in its original position?
Total = 9!

Only 2 is in position 2 => _ 2 _ _ _ _ _ _ _ => 5C3*(3!)*5! [Same for only 4,6,8] = A1
Only 2,4 in positions 2,4 => _2_ 4 _ _ _ _ _ => 5C2*(2!)*5! [Same for other pairs] = A2
Only 2,4,6 in positions 2,4,6 => _2_4_6_ _ _ => 5C1*(1!)*5! [Same for other triplets] = A3
All 2,4,6,8 in respective positions => _2_4_6_8_ => 5! = A4

So, required = 9! - [4*(7200)+ 6*(2400) + 4*(600) + 120] = 317160 ?
10127
@jain4444 said:
When a producer allows 36% commission on the retail price of his product, he earns a profit of 8.8%.what would be his profit percent if the commission rate is changed to 12%
Cost Price = CP
Retail Price = MP

Case 1: SP = MP*(0.64) => 1.088 = MP*(0.64)/CP => MP/CP = 1.7

Case 2: Profit = (MP*(0.88) - CP)/ (CP) = 0.4965 => 49.65 % ?

I am not sure about commission, but is it the same as discount ? 😞

EDITED
10128
@jain4444 said:
How many ways can the digits 1,2,3,4,5,6,7,8,9 be arranged so that no even digit is in its original position?
Total = 9! ways
When atleast one of 2, 4, 6, 8 is at its original position - C(4, 1)*8! ways
When atleast two of 2, 4, 6, 8 are at its original position - C(4, 2)*7! ways
When atleast three of 2, 4, 6, 8 are at its original position - C(4, 3)*6! ways
When all even digits are at its original position - C(4, 4)*5! ways

So, 9! - C(4, 1)*8! + C(4, 2)*7! - C(4, 3)*6! + C(4, 4)*5!
= 362880 - 4*40320 + 6*5040 - 4*720 + 120
= 229080 ways
10129
@YouMadFellow said:
Cost Price = CPRetail Price = MPCase 1: SP = MP*(0.64) => 1.088 = MP*(0.64)/CP => MP/CP = 1.7Case 2: Profit = (MP*(0.88) - CP)/ (CP) = 0.8496 => 84.96 % ?I am not sure about commission, but is it the same as discount ?


I guess ur approach is correct (same as mine & @joyjitpal ) but calc mistake... Check underlined part calc... It should come out as 0.496 or 49.6%.
10130
@adwaitjw said:
I guess ur approach is correct (same as mine & @joyjitpal) but calc mistake... Check underlined part calc... It should come out as 0.496 or 49.6%.
The past ghost comes to haunt me again and again 😐 (Also, watching TV and typing is not a good practice :mg:)
10131
@jain4444 said:
When a producer allows 36% commission on the retail price of his product, he earns a profit of 8.8%.what would be his profit percent if the commission rate is changed to 12%
Suppose cost to producer is x and retail price is y, then
{(y - 0.36y) - x}/x = 0.088
0.64y = 1.088x
x = 0.64y/1.088 = 0.588y

New profit = 100*(0.88y - 0.588y)/0.588y = 49.65%
10132
@chillfactor said:
Total = 9! waysWhen atleast one of 2, 4, 6, 8 is at its original position - C(4, 1)*8! waysWhen atleast two of 2, 4, 6, 8 are at its original position - C(4, 2)*7! waysWhen atleast three of 2, 4, 6, 8 are at its original position - C(4, 3)*6! waysWhen all even digits are at its original position - C(4, 4)*5! waysSo, 9! - C(4, 1)*8! + C(4, 2)*7! - C(4, 3)*6! + C(4, 4)*5!= 362880 - 4*40320 + 6*5040 - 4*720 + 120= 229080 ways
So, 9! - C(4, 1)*8! + C(4, 2)*7! - C(4, 3)*6! + C(4, 4)*5!
bhai why - + - + alternatively ? did n't understand
10133
@joyjitpal said:
So, 9! - C(4, 1)*8! + C(4, 2)*7! - C(4, 3)*6! + C(4, 4)*5! bhai why - + - + alternatively ? did n't understand
inclusion - exclusion funda.
10134
@joyjitpal said:
So, 9! - C(4, 1)*8! + C(4, 2)*7! - C(4, 3)*6! + C(4, 4)*5! bhai why - + - + alternatively ? did n't understand
While counting atleast one, atleast two cases are over-counted so we need to remove those cases from atleast one.
Then while counting atleast two, atleast three cases are over-counted so we need to remove those cases from atleast two.
and so on

So, answer will be:-

Total - (atleast one - (atleast two - (atleast three - all four)))
= total - atleast one + atleast two - atleast three + all four
10135

what annual payment will discharge a debt of rs 808 due in 2 years at 2% per annum?

a 200 b 400 c 300 d 350
10136
@IIM-A2013 said:
what annual payment will discharge a debt of rs 808 due in 2 years at 2% per annum?a 200 b 400 c 300 d 350
400?
10137
@IIM-A2013 said:
what annual payment will discharge a debt of rs 808 due in 2 years at 2% per annum?a 200 b 400 c 300 d 350
P(102/100)+P=808
=> p=400

Five thieves robbed a bank and each of them driven by greed,proceeded to shoot ONE of the other four robbers.Find the probability that exactly 2 robbers were shot at ?
10138
@adwaitjw said:
96 is the wrong one... It should be 93...3+4=77+9=1616+16=3232+25=5757+36=9393+49=142
How have u solved these ques? Is there some particular way... coz the relation is not so easy to find out in most of them... :banghead: Any suggestions? I have my NMAT tom.. will be bombarded by scores of them i think... 😐 :(
10139
@paridhi11890 said:
How have u solved these ques? Is there some particular way... coz the relation is not so easy to find out in most of them... Any suggestions? I have my NMAT tom.. will be bombarded by scores of them i think...
Keep three four types in Mind.
1. AP 2. GP 3. AP in increments. 4. GP in Increments. 5.Alternate Series. 6. Special Series, like fibonacci,//
10140
@karl said:
Keep three four types in Mind. 1. AP 2. GP 3. AP in increments. 4. GP in Increments. 5.Alternate Series. 6. Special Series, like fibonacci,//
:thumbsup: