A man buys a watch for Rs. 195 in cash and sells it for Rs.220 at a credit of 1 year. If the rate of

M4maths Previous Puzzles

21 Oct 2014 Discount

A man buys a watch for Rs. 195 in cash and sells it for Rs.220 at a credit of 1 year. If the rate of interest is 10%, the man:

OPtion

1) Gains Rs.15
2) Gains Rs.3
3) Gains Rs.5
4) Gains Rs.10
5) Loses Rs.15
6) Loses Rs.3
7) Loses Rs.5
8) Gains Rs.12
9) Loses Rs.10
10)None of these

Solution

P.W. of Rs. 220 due 1 year hence
= Rs. (100*220/ (100+10) = Rs.200
Therefore Gains Rs.5

Option 3)

Correct Option: 3 Best Solution (27)

Kushagra Tiwari   9 years AGO

P.W of Rs 220 due 1 year hence = {(100*220)/(100+10)}
that is = 200
Cp was 195
so 200-195 = 5

hence the man gain rs 5
which is in option 3

Like? Yes (16) | No   

BHASKAR MANDAL   9 years AGO

amount that he sells = 220 after 1year
if he sells now
220 = p+prt/100
= p(1+rt/100) = p(1+1/10) = 11p/10
p = 200
so the selling price now = 200
selling price - cost price = 200-195 = 5
so A will gain a credit of rs 5
option 3 is the correct answer

Like? Yes (7) | No   

RAKESH   9 years AGO

220*100/(100+10*1) - 195 = rs 5 gain

Like? Yes (3) | No   

prem kumar   9 years AGO

c.p =195
here sp= rs.x
after 1 year it become 220
so we dont know sp
rate of interest=10%
x+10%x=220
x+0.1x=220
x=200
so gain=200-195=rs.5

Like? Yes (4) | No (1)  

v pavan   9 years AGO

total amount he get after 1 year(A)= 220
Let P be the price at which he sold before 1 year
A=P+(P*R*T)/100
Given T=1 year, R=10%
Solving we get P= 200
gain =Rs.5

Like? Yes (2) | No   

Ravi Kumar   9 years AGO

sp=(220*100)/(100+10)
=200
sp>cp =>gain
gain=sp-cp = 200-195=5
ans) gains rs. 5

Like? Yes (2) | No   

Sanchit Kapoor   9 years AGO

S.P. = P.W. of Rs. 220 due 1 year hence
= Rs. (220 x 100)/
(100 + (10 x 1))
= Rs. 200
Gain = Rs. (200 - 195) = Rs. 5.

Like? Yes (3) | No (1)  

Shreya Tiwari   9 years AGO

P.W of Rs 220 due 1 year hence = {(100*220)/(100+10)}
that is = 200
Cp was 195
so 200-195 = 5

hence the man gain rs 5

Like? Yes (1) | No   

Abhishek Vishwakarma   9 years AGO

P.W of Rs 220 due 1 year hence = {(100*220)/(100+10)}
that is = 200
Cp was 195
so 200-195 = 5

hence the man gain rs 5

Like? Yes (1) | No   

ragini   9 years AGO

(220*100)/(100+(10*1)) =200

gain=200-195=5

Like? Yes (1) | No   

Sukanya   9 years AGO

S.P. = P.W. of Rs. 220 due 1 year hence
= 220 x 100/100 + (10 x 1)
= Rs. 200.
Gain = Rs. (200 - 195) = Rs. 5.

Like? Yes (1) | No   

D SATHIBABU   9 years AGO

S.P. = P.W. of Rs. 220 due 1 year hence
= Rs. [220 x 100 ]/(100 + (10 x 1))
= Rs. 200.
Gain = Rs. (200 - 195) = Rs. 5.
P.W. - Present Worth
S.P - Selling Price

Like? Yes (1) | No   

vaitesh mudaliar   9 years AGO

since the present value of outflow is Rs.195 as on 0 date but the inflow after 1 year will be Rs.220 so the present value of inflow is Rs 200. i.e [1/(1+10%)*220] therefore the gain will be Rs 5

Like? Yes (1) | No   

aman   9 years AGO

@10% so we sell @200₹ at start
So C.P = 195 , S.P = 200
200-195 = 5₹ gain

Like? Yes (1) | No   

Jabez David   9 years AGO

S.P. = P.W. {Present Worth} of Rs. 220 due 1 year hence
= {(220*100)/[100+ (10*1)]}
= Rs 200
Gain= (S.P.) - (C.P.)
= 200-195
= 5
Option 3: Gains Rs.5

Like? Yes (1) | No   

rosemary   9 years AGO

S.P. = P.W. of Rs. 220 due 1 year hence
= Rs. 220 x 100 /100 + (10 x 1)

= Rs. 200.


Gain = Rs. (200 - 195) = Rs. 5.

Like? Yes (1) | No   

Anand   9 years AGO

If he sells it for Rs220 at a credit of 1yr then the
present worth of that amount is
Presentworth = (Amount*100) /(100+(R*T))
=(220*100)/(100+10*1)
=200-
So he gains 200-195=Rs.5

Like? Yes (1) | No   

sanchit soni   9 years AGO

c.p.=195 rs
s.p. =220 rs..
now at credit of 10% rate for 1 yr,it means
interest = p*r*t/100=195*10*1/100=19.5 rs
total c.p. =195+19.5=214.5 rs
so, gain =220-214.5=5.5 rs

Like? Yes (1) | No   

Shivom Sharma   9 years AGO

i am sure

Like? Yes (1) | No   

Kumar Gaurav   9 years AGO

rate of interest is 10%, means presently he's getting 200, that's become 220 after a year.
means profit=5.

Like? Yes (1) | No   

Swagatam Kumar Das   9 years AGO

pw of Rs. 220 is 220/(1+.1) =200.
CP is 195
now SP is 200.
So gains (200-195)=5

Like? Yes (1) | No   

shekhar suman   9 years AGO

gain=220-(195+195*10/100)=5.5

Like? Yes (1) | No   

yaman kumar gunturi   9 years AGO

Gains 5

Like? Yes (1) | No   

ravi prakash   9 years AGO

25-19.5=5.5

Like? Yes (1) | No   

PRAVIN PRAJAPATI   9 years AGO

195*10%=19.5
195+19.5=214.5
then gain of 5.5 rupees

Like? Yes (1) | No   

T.Aravinth kumar   9 years AGO

200-195=5

Like? Yes (2) | No (2)  

Gaurav Sharan   9 years AGO

present value = 220*(10/11)

Like? Yes (1) | No (1)