Quiz: Profit and Loss Set 6

• Shopkeeper purchased some goods for Rs.900 and sold one-third of the goods at a loss of  what 12%, then at gain % should the remainder goods he sold to gain 18% profit on the whole transaction ?
1.31%
2.26%
3.33%
4.18%
5.None of these

Explanation :
1/3rd at 12% loss = 900/3 =300*88/100 =264
900*18/100 = 108 => 600+162+36 = 798
198/600 *100 = 33%
• A bought ‘X’ quantity of pencils for Rs.500 and he sold 2/5 part for 5% loss and at which percent he must sell his rest of the quantity so that he would gain overall 10% profit ?
1.10%
2.20%
3.17%
4.15%
5.None of these

Explanation :
500*2/5 = 200
5%L = 200*95/100 = 190
500+10+(500*10/100) = 510+50 = 560
60/500 * 100 = 20%
• A dealer marked the price of an item 20% above cost price. He allowed two successive discounts of 10% and 25% to a customer. A a result he incurred a loss of Rs.684. At what price did he sell the item to the customer ?
1.1670
2.2768
3.1817
4.2916
5.None of these

Explanation :
CP = 100
MP = 120
120*90/100 = 108; 108*75/100 = 81
Loss = 100 – 81 = 19%
CP = 100/19*684 = 3600
SP = 3600*81/100 = 2916
• A man went to shop to buy mobile for Rs.3500, the rate of sales tax being 8%. He tell the shopkeeper to reduce the price of mobile to such an extent that has to pay Rs.3500, inclusive of all taxes. Find the reduction price.
1.Rs.210
2.Rs.260
3.Rs.320
4.Rs.140
5.None of these

Explanation :
3500*100/108 = 3240
3500-3240 = 260
• An item was bought at Rs. X and sold at Rs.Y, thereby earning a profit of 15%. Had the value of X been 15% less and the value of Y been Rs.52 less, a profit of 20% would have been earned, What was the value of X ?
1.650
2.800
3.400
4.350
5.None of these

Explanation :
x(1.15)=y———–1
x(0.85)(1.2)=y-52——————-2
Sub 1 in 2, and solve x
(1.15)x-(1.02)x=52
(0.13)x=52
x=400
• An article passing threw two hands, is sold at profit of 40 % at the original price , if the first dealer makes a profit of 15 % , then the profit made by second dealer.
1.25%
2.26%
3.18%
4.22%
5.None of these

Explanation :
Total Profit = [P1 + P2 +(P1*P2/100)] 40 = 15 + P2 + (15*P2)
25-p2 = 15P2/100
2500 = 15p2+100p2
P2 = 2500/115 = 21.7% = 22%
• A boy  sells a Radio to B at a 10 % loss, B sells it to C at 25 % gain and C sells it to D at a loss of 8 %, if D pays Rs 1625 for it then how much does A pay for.
1.Rs.1620
2.Rs.1560
3.Rs.1570
4.Rs.1760
5.None of these

Explanation :
Cost price of A = 1625*[(100*100*100)/(90*125*92)] = 1570
• A toy is sold for Rs.336, if the % of profit is equal to cost price, then find CP ?
1.137
2.140
3.135
4.120
5.None of these

Explanation :
(100+x)% of X = 336
100x+x2 = 33600
x2 +100x – 33600 = 0
(x+240x)(x-140x) =0
X = 140
• What is the maximum % discount that a man can offer on her MP so that he ends up selling at no profit or loss, if he had initially marked his goods up by 35% (approximately)?
1.20%
2.32%
3.27%
4.30%
5.None of these