A has to pay Rs.220 to B after 1 year. B asks A to pay Rs.110 in cash and defer the payment of Rs.11

M4maths Previous Puzzles

18 Sep 2014 Discount

A has to pay Rs.220 to B after 1 year. B asks A to pay Rs.110 in cash and defer the payment of Rs.110 for 2 years. A agrees to it. Counting, the rate of interest at 10% per annum in this new mode of payment.

OPtion

1) A loses Rs 11
2) A gains Rs 9.45
3) A gains Rs 11
4) A loses Rs 9.45
5) A gains Rs 15
6) A gains Rs 7.34
7) A loses Rs 15
8) A loses Rs 7.34
9) There is no gain or loss to any one
10)None of these

Solution

A has to pay the P.W. (Present worth or Present value) of Rs. 220 due 1 year hence, which is
= Rs.(100*220 / 100+(10*1)) = Rs 200
Actually pays = Rs.[110 + P.W. of Rs. 110 due 2 years hence]
= Rs.[110 + (100*110 / (100+(8*2)) = 192.66
therefore A gains = Rs. 7.34

Option 6)

Correct Option: 6 Best Solution (22)

NAVEEN KUMAR   10 years AGO

'A' HAS TO PAY THE P.W OF RS.220 DUE 1 YEAR HENCE,

=RS.[(100*220)/100+(10*1)]=RS.200

'A' ACTUALLY PAY=RS[110+PW OF RS 110 DUE 2 YEAR]
=RS.[110+(110*100)/100+(8*2)]=RS.192.66

'A' GAINS=RS[200-192.66]=RS.7.34

Like? Yes (11) | No (8)  

padma   10 years AGO

A has to pay 220 ,
so, 100*220/100+(10*1) = 200
but A has already paid 110 so,
110+ (100*110/100+(8*2)) = 192.66
so, A gains 200-192.66 = 7.34

Like? Yes (3) | No (3)  

Kushagra Tiwari   10 years AGO

A has to pay PW of rs200 due 1 year hence which is
={(100*220)/(100+(10+1)}
on solving we get Rs 200

Now A actually pays= {rs 110 + pw of rs 110 due 2 years hence}
=Rs {(110)+ [(100*110)/(100+ (8*2))]}
i.r Rs 192.66

So A gains =RS[200-192.66] => 7.34

which is in option no 6

Like? Yes (15) | No (16)  

jitendra varshney   10 years AGO

a has to pay p.w of rs. 220 due 1 year hence,which is
[100*220/100+(10*1)]=rs.200,
a actually pay=rs[110+100*100/100(8*2)]=192.66
a gains=rs[200-192.66]=7.34 so option 6 is correct

Like? Yes (3) | No (4)  

lakshmi nalluri   10 years AGO

pw of 220 due to 1 year ll be=220*100/(100+(10*1))
=200
a is paying =110+110due for 2 years
=110+(110*100/(100+10*2))
=192.666
so,200-192.66 gives A a gain of 7.34

Like? Yes (3) | No (4)  

sharathbabu   10 years AGO

A has to pay =Present worth of Rs220 due 1yr hence
=Rs.(220*100)/(100+(10*1))
=Rs.200 A actually pays=Rs.110+Presentworth of Rs110 due 2 yrs hence
=[110+ (Amount*100) /(100+(R*T))]
=[110+((110*100)/(100+(10*2)))]
=Rs192.66
So A gains Rs(200-192.66)=Rs.7.34

Like? Yes (1) | No (2)  

Karthick Balaji G   10 years AGO

The present worth is Rs.220 . For 1 year he has to pay Rs. 200.
A pays Rs. 110 and Present worth of Rs.110 in due years. After 2 years it will be Rs.192.66 So option 6

Like? Yes (1) | No (2)  

Manikumar R   10 years AGO

A has to pay =Present worth of Rs220 due 1yr hence
=Rs.(220*100)/(100+(10*1))
=Rs.200 A actually pays=Rs.110+Presentworth of Rs110 due 2 yrs hence
=[110+ (Amount*100) /(100+(R*T))]
=[110+((110*100)/(100+(10*2)))]
=Rs192.66
So A gains Rs(200-192.66)=Rs.7.34

Like? Yes (4) | No (5)  

Priyanshi Agarwal   10 years AGO

gain=7.34

Like? Yes (1) | No (2)  

ragini   10 years AGO

A has to pay =Present worth of Rs220 due 1yr hence
=Rs.(220*100)/(100+(10*1))
=Rs.200 A actually pays=Rs.110+Presentworth of Rs110 due 2 yrs hence
=[110+ (Amount*100) /(100+(R*T))]
=[110+((110*100)/(100+(10*2)))]
=Rs192.66
So A gains Rs(200-192.66)=Rs.7.34

Like? Yes (1) | No (2)  

sanjeev kumar   10 years AGO

ans=6

Like? Yes (1) | No (2)  

Abhishek Vishwakarma   10 years AGO

A has to pay PW of rs200 due 1 year hence which is
={(100*220)/(100+(10+1)}
on solving we get Rs 200

Now A actually pays= {rs 110 + pw of rs 110 due 2 years hence}
=Rs {(110)+ [(100*110)/(100+ (8*2))]}
i.r Rs 192.66

So A gains =RS[200-192.66] => 7.34

Like? Yes (1) | No (3)  

Enukonda Ramakrishna   10 years AGO

jkljl;j

Like? Yes (1) | No (3)  

praveenkumar   10 years AGO

a has to pay the 220 rs de 1 year=(100*200/(100+10))=200
actual pays=110+110 due 2 years hence =110+110*100/(100+16)=192.66
A gain=200-192.66= 7.34 rs

Like? Yes (1) | No (3)  

anandhakumar   10 years AGO

ans is option 6

Like? Yes (1) | No (3)  

sudhakar   10 years AGO

Answer is option 6) A gains Rs 7.34

Like? Yes (1) | No (3)  

Urvashi Jain   10 years AGO

a has to pay =220*100/100+(1*10)=200
a actually pays=110+110*100/100+(2*10)=192.66
a gains=200-192.66=7.34
option(6)

Like? Yes (2) | No (4)  

S.SHAFI   10 years AGO

A has to pay the P.W. of Rs.220 due 1 year hence, which is
=> (100*220)/(100+(10*1)) ==> Rs.200

A actually pays = Rs.[110 + P.W.of Rs.110 due 2 years hence]
==> Rs.[110 + (100*110)/(100+(8*2))] ==> Rs.192.66

A gains = Rs.[200 - 192.66] = Rs.7.34

Like? Yes (2) | No (4)  

Anand Dwivedi   10 years AGO

Simply Answer is :- A gains Rs. 7.34

Like? Yes (1) | No (3)  

karpagavalli   10 years AGO

(100*220/100+(10*1))=200
110+(100*110/100+(8*2))=192.66
200-192.66=7.34-A gains

Like? Yes (1) | No (3)  

Gitanjali K   10 years AGO

A has to pay =100*(220/100+(10*1))=200 Rs

A paying=110+(100*(110/100+(8*2)))=192.66 Rs
so ( 200-192.66)=7.34 Rs. is the A's gain

so option (6) is the answer..

Like? Yes (1) | No (4)  

MOHIT GARG   10 years AGO

A has to pay =Present worth of Rs220 due 1yr hence
=Rs.(220*100)/(100+(10*1))
=Rs.200 A actually pays=Rs.110+Presentworth of Rs110 due 2 yrs hence
=[110+ (Amount*100) /(100+(R*T))]
=[110+((110*100)/(100+(10*2)))]
=Rs192.66
So A gains Rs(200-192.66)=Rs.7.34

Like? Yes (1) | No (4)