Hema bought two pair of jeans for ₹1450 each. She sold one of them at a gain of 8% and the other at a loss of 4% . Find her gain or loss per cent in the whole transaction
Answers
Answer:
CP of first jeans = ₹1,450
Profit = 8% of CP =
8
100
×1450=₹116
SP of first jeans = ₹1,450 + ₹116 = ₹1,566
CP of second jeans = ₹1,450
Loss = 4% of CP =
4
100
×1450=₹58
SP of second jeans = ₹1450 − ₹58 = ₹1,392
Total CP of two jeans = CP of first jeans + CP of second jeans = ₹1,450 + ₹1,450 = ₹2,900
Total SP of two jeans = SP of first jeans + SP of second jeans = ₹1,566 + ₹1,392 = ₹2,958
Here, Total SP of two jeans > Total CP of two jeans.
Gain = Total SP of two jeans − Total CP of two jeans = ₹2,958 − ₹2,900 = ₹58
∴ Gain% =
Gain
Total CP of two jeans
×100%=
58
2900
×100%=2%
Step-by-step explanation:
Given:-
Hema bought two pair of jeans for ₹1450 each. She sold one of them at a gain of 8% and the other at a loss of 4% .
To find:-
Find her gain or loss per cent in the whole transaction
Solutions:-
CP of the first jeans = Rs 1450
Profile % on the first jeans = 8 %
Profile = 8 % of Rs 1450
= 8/100 × 1450
= 8/10 × 145
= 4/5 × 145
= 4 × 29
= Rs 116
SP of the first jeans = Rs 1450 + Rs 116
= Rs 1566
CP of the second jeans = Rs 1450
Loss = 4 % of CP
= 4/100 × 1450
= 4/10 × 145
= 4/2 × 29
= 2 × 29
= Rs 58
SP of the second jeans = Rs 1450 - Rs 58
= Rs 1392
Total CP of two jeans = CP of first jeans + CP of second jeans
= Rs 1450 + Rs 1450
= Rs 2900
Total SP of two jeans = SP of first jeans + SP of second jeans
= Rs 1566 + Rs 1392
= Rs 2958
Thus,
Total SP of two jeans > Total CP of two jeans
Gain = Total SP of two jeans - Total CP of two jeans
= Rs 2958 - Rs 2900
= Rs 58
Gain % in the whole transaction
= gain/Total CP of two jeans × 100%
= 58/2900 × 100
= 58/29
= 2 %