Q.2. If a retailer marks up his price by 30 % and then allows a 30 % discount, what is his percentage profit or loss?
A. 9 % gain
B. 8 % gain
C. 8% loss
D. 9 % loss
E. 5% loss
Sol : Option D
Net loss = x2/100% = 900/100 = 9%
Q.3. By selling an article for Rs 600 more, Karthik would have made 5% profit on his sale instead of a 11% loss. What was his cost price?
A. Rs. 3750
B. Rs. 4000
C. Rs. 2250
D. Rs. 6,000
E. Rs. 4750
Sol : Option A
CP = (Difference in SP) ÷ (% Difference in profit) = 600/(5-(-11)) × 100 = (600/16)×100 = Rs3750
Q.4. I make a profit of 20% by selling an article. What would be the profit percent if it were calculated on the selling price instead of the cost price?
A. 10 %
B. 20%
C. 30%
D. 16.67%
E. 12.5%
Sol : Option D
Let CP = 100 then SP = 120. Profit % if it was calculated on SP will be
⇒ 20/120 × = 16.67%
Q.5. A tradesman marks his goods 25% above the cost price and allows his customers 12 % reduction on their bills. What percent profit does he make?
A. 14 %
B. 10%
C. 18%
D. 12.5%
E. 12%
Sol : Option B
Let CP= Rs. 100, therefore, MP= Rs. 125, Discount% = 12%
SP = 88% of MP = 88% of 125 = Rs. 110. Profit = 110 – 100 = Rs. 10
Profit = 10%.
Q.6. In order to maintain the price line, a trader allows a discount of 12 % on the marked price of goods in his ship. However, he still makes a gross profit of 32 % on the cost price. Find the profit percent he would have made on the selling price had he sold at the marked price.
A. 28.07 %
B. 50 %
C. 31.21 %
D. 23 %
E. 40%
Sol : Option B
Let CP = 100. SP = 132. This is after a discount of 12%, thus the marked price must be 132/0.88 = 150. Thus he is marking the product 50% above the cost price. Hence the profit will be 50%.
Q.7. An orange vendor makes a profit of 10% by selling oranges at a certain price. If he charges Rs. 1.4 higher per orange he would gain 30%. Find the original price at which he sold an orange.
A. Rs. 6
B. Rs. 5.80
C. Rs. 6.25
D. Rs. 6.70
E. Rs 7.70
Sol : Option E
Rs. 1.4 is the increase in absolute, 20% is the increase in percentage. Thus those two can be equated. Hence it can be concluded that 1.4 is 20% of the price i.e. the CP of one orange is 1.4/0.20 = Rs. 7. The SP per orange in the first case is 7 × 1.1 = Rs. 7.70. Hence option is E.
Q8. A man bought a horse for a certain sum and sold it, at a loss of 8 % on his outlay. If he had received Rs. 1800 more, he would have gained 14½ % on his outlay. What did the horse cost?
A. Rs. 3,500
B. Rs. 5,000
C. Rs. 6,000
D. Rs. 8,000
E. Rs. 6500
Sol : Option D
CP = (Difference in SP) ÷ (% Difference in profit) CP of the horse = 1800×100/14.5-(-8) = 1800×100/22.5 ⇒ CP = 8000.
Q9. Divya made a profit of 25% when selling a Salwar Kameez at Rs. 4,000. Find the cost price of the same dress.
A. Rs. 4,800
B. Rs. 3,650
C. Rs. 3,200
D. Rs. 3,000
E. Rs. 2,700
Sol : Option C
Old CP = 4000 × (100/125) = 3200
Q10. What profit percent is made by selling an article at a certain price if by selling at four-fifth of that price there may be a loss of 12 %?
A. 10 %
B. 25 %
C. 42 %
D. 20 %
E. 35%
Sol : Option A
Such question can be better answered by thinking in the reverse order. Let the CP = 100, there is a loss of 12% in the final case i.e. SP = 100 – 12 = Rs 88. Now this Rs. 88 is the four-fifth of the selling price as per the question. The original selling price will be 88 × 5/4 = Rs. 110. CP =100. There is a profit of Rs. 10, which is nothing but 10%, as the CP is taken to be Rs. 100
Q.3. By selling an article for Rs 600 more, Karthik would have made 5% profit on his sale instead of a 11% loss. What was his cost price?
A. Rs. 3750
B. Rs. 4000
C. Rs. 2250
D. Rs. 6,000
E. Rs. 4750
Sol : Option A
CP = (Difference in SP) ÷ (% Difference in profit) = 600/(5-(-11)) × 100 = (600/16)×100 = Rs3750
Q.4. I make a profit of 20% by selling an article. What would be the profit percent if it were calculated on the selling price instead of the cost price?
A. 10 %
B. 20%
C. 30%
D. 16.67%
E. 12.5%
Sol : Option D
Let CP = 100 then SP = 120. Profit % if it was calculated on SP will be
⇒ 20/120 × = 16.67%
Q.5. A tradesman marks his goods 25% above the cost price and allows his customers 12 % reduction on their bills. What percent profit does he make?
A. 14 %
B. 10%
C. 18%
D. 12.5%
E. 12%
Sol : Option B
Let CP= Rs. 100, therefore, MP= Rs. 125, Discount% = 12%
SP = 88% of MP = 88% of 125 = Rs. 110. Profit = 110 – 100 = Rs. 10
Profit = 10%.
Q.6. In order to maintain the price line, a trader allows a discount of 12 % on the marked price of goods in his ship. However, he still makes a gross profit of 32 % on the cost price. Find the profit percent he would have made on the selling price had he sold at the marked price.
A. 28.07 %
B. 50 %
C. 31.21 %
D. 23 %
E. 40%
Sol : Option B
Let CP = 100. SP = 132. This is after a discount of 12%, thus the marked price must be 132/0.88 = 150. Thus he is marking the product 50% above the cost price. Hence the profit will be 50%.
Q.7. An orange vendor makes a profit of 10% by selling oranges at a certain price. If he charges Rs. 1.4 higher per orange he would gain 30%. Find the original price at which he sold an orange.
A. Rs. 6
B. Rs. 5.80
C. Rs. 6.25
D. Rs. 6.70
E. Rs 7.70
Sol : Option E
Rs. 1.4 is the increase in absolute, 20% is the increase in percentage. Thus those two can be equated. Hence it can be concluded that 1.4 is 20% of the price i.e. the CP of one orange is 1.4/0.20 = Rs. 7. The SP per orange in the first case is 7 × 1.1 = Rs. 7.70. Hence option is E.
Q8. A man bought a horse for a certain sum and sold it, at a loss of 8 % on his outlay. If he had received Rs. 1800 more, he would have gained 14½ % on his outlay. What did the horse cost?
A. Rs. 3,500
B. Rs. 5,000
C. Rs. 6,000
D. Rs. 8,000
E. Rs. 6500
Sol : Option D
CP = (Difference in SP) ÷ (% Difference in profit) CP of the horse = 1800×100/14.5-(-8) = 1800×100/22.5 ⇒ CP = 8000.
Q9. Divya made a profit of 25% when selling a Salwar Kameez at Rs. 4,000. Find the cost price of the same dress.
A. Rs. 4,800
B. Rs. 3,650
C. Rs. 3,200
D. Rs. 3,000
E. Rs. 2,700
Sol : Option C
Old CP = 4000 × (100/125) = 3200
Q10. What profit percent is made by selling an article at a certain price if by selling at four-fifth of that price there may be a loss of 12 %?
A. 10 %
B. 25 %
C. 42 %
D. 20 %
E. 35%
Sol : Option A
Such question can be better answered by thinking in the reverse order. Let the CP = 100, there is a loss of 12% in the final case i.e. SP = 100 – 12 = Rs 88. Now this Rs. 88 is the four-fifth of the selling price as per the question. The original selling price will be 88 × 5/4 = Rs. 110. CP =100. There is a profit of Rs. 10, which is nothing but 10%, as the CP is taken to be Rs. 100
_1.jpg?null)
_1.jpg?null)
_13.jpg?null)
-icon.jpg?null&itok=2FjKP8-O "Chain Rule Practice Problems"){kind=icon}
