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By selling a sofa set for Rs. 25,800 and a table for Rs. 5,000, a shopkeeper gains 10% on the whole transaction. However, if he sells the sofa set for Rs. 22,500 and the table for its original cost, he loses 5%. What is the original cost of the table?1. Rs. 3,5002. Rs. 3,8343. Rs. 4,7504. Rs. 4,100 |
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Answer» Correct Answer - Option 4 : Rs. 4,100 Given: SP of sofa set for 1st transaction = Rs. 25,800 SP of table for 1st transaction = Rs. 5,000 Gain in 1st transaction = 10% SP of sofa set in 2nd transaction = Rs. 22,500 SP of table for 2nd transaction = CP Loss in 2nd transaction = 5% Formula used: Profit = SP – CP Loss = CP – SP Profit % = (SP – CP)/CP × 100 Loss % = (CP – SP)/CP × 100 Calculation: Total SP in 1st transaction = SP of sofa set + SP of table ⇒ Total SP in 1st transaction = 25800 + 5000 ⇒ Total SP in 1st transaction = 30800 Profit % = (SP – CP)/CP × 100 ⇒ 10 = (30800 – CP)/CP × 100 ⇒ CP = (30800 – CP)10 ⇒ CP = 308000 – 10CP ⇒ 11CP = 308000 ⇒ CP = 28000 Total CP = Rs. 28,000 Loss = 5% of 28000 ⇒ Loss = 5/100 × 28000 = 1400 As, table is sold at cost price in 2nd transaction CP of sofa set = 22500 + 1400 = 23900 CP of table = Total CP – CP of sofa set ⇒ CP of table = 28000 – 23900 ⇒ CP of table = 4100 ∴ Cost price of table is Rs. 4100 |
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