A bought an item for ₹1,100 and sold it to B at a loss of 5%. B sold the item to C at a profit of k% for ₹1,254. Find the value of k.
- A25
- B12
- C20
- D15
Solution & Step-by-step Explanation
Cost Price for A (CP
A
) = ₹1,100.
A sold it to B at a loss of 5%.
Selling Price for A (SP
A
), which is also the Cost Price for B (CP
B
):
CP
B
=1100×(1−
100
5
)=1100×0.95=1045
B sold the item to C for ₹1,254 at a profit of k%.
Selling Price for B (SP
B
) = ₹1,254.
Profit made by B:
Profit=SP
B
−CP
B
=1254−1045=209
The profit percentage k is calculated as:
k=(
CP
B
Profit
)×100
k=
1045
209
×100
k=
5
1
×100=20
Thus, the value of k is 20.
A
) = ₹1,100.
A sold it to B at a loss of 5%.
Selling Price for A (SP
A
), which is also the Cost Price for B (CP
B
):
CP
B
=1100×(1−
100
5
)=1100×0.95=1045
B sold the item to C for ₹1,254 at a profit of k%.
Selling Price for B (SP
B
) = ₹1,254.
Profit made by B:
Profit=SP
B
−CP
B
=1254−1045=209
The profit percentage k is calculated as:
k=(
CP
B
Profit
)×100
k=
1045
209
×100
k=
5
1
×100=20
Thus, the value of k is 20.