Answer: C SP = Rs 400 and loss = x% Then, SP = (100-x)/100 * CP Rs (400*100)/(100-x) = CP If SP= Rs 380 and loss = (x+4)% Then CP = (380*100)/(100-x-4) Since, CP in both the case must be same Hence, 400*100/(100-x) = 380*100/(100-x-4) On solving we get x=20. CP = 400*100/(100-20) = Rs 500.
Q. No. 26:
Ajay loses 20% of his money. After spending 80% of the reminder, he left with Rs 4500. How much money (in Rupees) did he have initially ?
Answer: D Let the amount after the loss = Rs x. x - 80% of x = 4500 20% of x = 4500 x = Rs 22,500. This amount is after the 20% loss. So, initial amount will be 80% of initial amount= 22,5000 Initial amount = (22,500 * 100)/80 = Rs 28,125.
Q. No. 27:
2/3 rd of a consignment was sold at a profit of 6% and the rest at the loss of 3%. If however there was an over all profit of Rs 540, the value of consignment was :
Answer: A Total = 3x 2x*6% - x*3% = 540 => 12x - 3x = 540 => x = 6,000 Total = 6,000*3 = Rs 18,000.
Q. No. 28:
A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is above the cost price by
Answer: D Let CP of (15+1) articles = Rs 1600 SP of 15 articles = 1600*135/100 = 16*135 SP of 1 article = 16*135/15 = 144 Now, MP = 144*100/96 = 150% MP above CP = 50%.
Q. No. 29:
A trader purchases a watch and a wall clock for Rs 390. He sells them making a profit of 10% on the watch and 15% on the wall clock. He earns a profit of Rs 51.50. The difference between the original prices of the wall clock and the watch is equal to :
Answer: A Let cost of the watch be Rs x => 10% of x + 15% of (390-x) = 51.5 On solving we get, x = 140 Hence, cost of clock = 390-140 = Rs 250 Difference = 250-140 = Rs 110.
Q. No. 30:
Padam purchased 30kg of rice at the rate of Rs 17.50 per kg and another 30kg of rice at a certain rate. He mixed the two and sold the entire quantity at the rate of Rs 18.60 per kg and made 20% overall profit. At what price per kg did he purchase the lot of another 30kg rice ?
Answer: B Cost price of 30 kg of 1st rice = 30*17.5 30 kg of 2nd rice = 30x Total cost price = 30*17.5 + 30x => (30*17.5 + 30x)/60 * 120/100 = 18.6 => x = Rs 13.5.