15. Salman bought 40 chairs at 175 each. He sold one-fourth of them at a loss of 8%. . at what price each must sell the remaining chair so as to gain 10% on the whole deal.
Answers
Sᴏʟᴜᴛɪᴏɴ :-
→ CP of 1 chair = Rs.175
→ CP of 40 chairs = 175 * 40 = Rs.7000 = Total CP.
→ Overall gain = 10% .
→ SP = {CP * (100 + gain%)}/100
→ Overall SP = {7000 * (100 + 10)}/100
→ Overall SP = (7000 * 110)/100 = Rs.7700
____________
Now,
→ 1/4th of Total chair = 40 * (1/4) = 10 chairs.
→ Loss on Each = 8%
→ SP of Each = {CP * (100 - Loss%)}/100
→ SP = {175 * (100 - 8)}/100
→ SP = (175 * 92)/100 = Rs.Rs.161
So,
→ SP of 10 Such chairs = 161 * 10 = Rs.1610.
_____________
Therefore,
→ Remaining chairs = 40 - 10 = 30 chairs.
→ SP of 30 chairs = 7700 - 1610 = Rs.6090.
→ SP of Each chair = (6090/30) = Rs.203 (Ans.)
Hence, Each Remaining Chair must sell at Rs.203 so as to gain 10% on the whole deal.
Answer:
Cost of 10 chairs= 10 × 175
= Rs. 1750
S.P=[C.P(100-loss%)]/100
= 1750(100-8)/100
= 17.5 × 92
= Rs.1610
Loss=140
Total C.P=40×175= 7000
10% profit= Rs.700
C.P of 30 Chairs = 30×175=5250
S.P of 30 chairs = 5250+700+140
= 5950+140
= 6090
S.P of 1 Chair for getting 10% on whole day=6090/30=Rs.203
ANSWER : 203 Rs.