Question

A grocer bought 4 crates of lettuce and 3 crates of cabbage. Later he bought 2 crates of lettuce and 5 crates of cabbage. His first bill was $34. 20 and his second bill was $31. 80. Find the cost for each crate of lettuce and each crate of cabbage

Answer 1

Explanation:

C.P. of sugar = Rs. 4500

C.P. of

1

3

o

f

s

u

g

a

r

=

R

s

.4500

×

1

3

=

R

s

.1500

G

a

i

n

%

=

10

%

∴

S

.

P

.

=

C

.

P

.

(

100

+

g

a

i

n

%

)

100

=

R

s

.

1500

×

(

100

+

10

)

100

=

R

s

.

1500

×

110

100

=

R

s

.1650

G

a

i

n

o

n

t

o

t

a

l

=

12

%

∴

T

o

t

a

l

S

.

P

.

=

C

.

P

.

(

100

+

g

a

i

n

%

)

100

=

R

s

.

4500

(

100

+

12

)

100

=

R

s

.

4500

×

112

100

=

R

s

,

5040

R

e

m

a

i

n

i

n

g

C

.

P

=

R

s

.4500

−

R

s

.1500

=

R

s

.3000

a

n

d

r

a

m

a

i

n

i

n

g

S

.

P

.

=

R

s

.5040

−

R

s

.1650

=

R

s

.3390

∴

G

a

i

n

=

S

.

P

.

−

C

.

P

=

R

s

.3390

−

R

s

.3000

=

R

s

.390

G

a

i

n

%

=

g

a

i

n

×

100

C

.

P

=

390

×

100

3000

=

13

%

A

n

s

.