In the previous article of Profit-Loss-Discount for CGL, we studied the previous year questions. Now we will discuss some important questions from this chapter based on the SSC pattern.
1.Direction: Study the given table carefully and answer the questions that follow.Given below is a table which tells us about the profit or loss% made on 4 items sold by 6 companies, A, B, C, D, E, and F.
Some of the data is missing in the table which one has to calculate using the given data.
The ratio of the selling price of item I and II for company A is 4 : 3. Find the profit or loss% made on item II if the ratio of their cost price was 8: 9. It is known that company A made a profit on item I.
A. 12.25% profit
B. 26(2/3)% loss
C. 16(2/3)% profit
D. 16(2/3)% loss
Given, the ratio of the selling price of item I and II for company A is 4 : 3 and the ratio of their cost price were 8:9. Company A made the profit on item I.
From the table, profit% of company A = 10%.
Let the cost price of item I and item II be 8a and 9a respectively.
Let the profit% made be p%.
Selling price of item I = 8a + 10% of 8a = 8.8a
Selling price of item II = 9a + p% of 9a = 9a (100 + p)/100
⇒2.2 = 3(100 + p)/100
⇒220 = 300 + 3p
Thus, a loss% of occurred.
2. A sold an article to B at 20 % profit. B sold it to C at 10 % profit. C again sold it to A at 10 % loss. Then what is overall profit or loss of A?
A. 1.2 % profit
B. 1.2 % loss
C. Neither profit nor loss
D. 1 % profit
Let the initial cost price of the article for A =100 rs.
Profit = 20 % =20 rs.
So selling price by A = 120rs.
Selling price by A will be the cost price for B.
Cost price for B = 120 rs.
Profit = 10%
Selling price by B = 120+10 % of 120 = 132 rs.
Selling price by B will be the cost price for C.
Cost price for C = 132 rs.
Loss = 10%
Selling price by C= 132-10% of 132=118.8 rs.
This will be again cost price for A.
But initial cost price = 100 rs.
So, loss = 118.80-100=18.80 rs.
But initially, A got the profit = 20 rs.
Overall profit/loss=20-18.80=+1.20 rs. (Positive sign denotes the profit)
So, for 100 rs CP profit = 1.20 rs
So profit percentage = 1.2 %
3. A salesman sells two Shaving trimmers having same cost price, one at 10% loss and the other at 12% profit. What is the net loss or profit?A. 1% profit
Let the CP of one trimmer be x
Then the total cost price = 2x
Total selling price = 0.9x+1.12x = 2.02x
Profit = (2.02/2) * 100 = 1%
4. A fruit-seller bought some mangoes at some price. He sold of them in the morning at 25% profit. Due to the festival on next day, he increased the prices in the evening and sold them at 40% profit. But, due to increased prices, his sales reduced and 25% of those remaining mangoes got wasted. Find his overall profit or loss percent.A. 20% profit
B. 17% profit
C. No profit no loss
Let the seller buys ‘n’ mangoes for Rs. 100 each
CP of 1 mango = Rs.100
⇒ CP of n mangoes =100n
When 3/5th of total was sold:
⇒ SP for 1 mango = 100(1+25/100) =Rs.125
⇒ SP for 3n/5 mangoes= 125*3n/5 = 75n
Now, Remaining mangoes = 2n/5
Out of these 25% wasted
So, Remaining =
These are sold at 40% profit i.e. for Rs.140 each
⇒ ∴ Total SP = 75n + 140*3n/10 = 117n
We can see that, profit is made.
5.If a shopkeeper marks the price of goods 50% more than their cost price and allows a discount of 40%. What is his gain or loss percent?A. Gain 10%
B. Gain 15%
C. Loss 15%
D. Loss 10%
C.P.= ₹ 100
Marked price = ₹ 150
Seller provides 40% discount on the marked price,
⇒ S.P.= 150 × 60/ 100= ₹ 90
⇒ Loss= (S.P – C.P.) × 100 /C.P.
= (90 – 100) × 100 /100
= - 10% (negative sign indicates loss)
6.A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount isA. 4%
Let the rate of discount be x%, then
MP = CP[1 + 20%]
Now, as given in the question
⇒ x = 10%
7. Nikita bought 30 kg of wheat at the rate of ₹ 9.50 per kg and 40 kg of wheat at the rate of ₹ 8.50 per kg and mixed them. She sold the mixture at the rate of ₹ 8.90 per kg. Her total profit or loss in the transaction was:A. ₹ 2 loss
B. ₹ 2 profit
C. ₹ 7 loss
D. ₹ 7 profit
Solution: Total CP of 70 kg of wheat
= ₹ (30 x 9.5+ 40 x 8.5)
= ₹ (285 + 340) = ₹ 625
Total S.P. of 70kg of wheat
= ₹ (8.90 x 70) = ₹ 623
Loss = ₹ (625 – 623) = ₹ 2
8. The selling price of 25 articles is equal to the cost price of 30 articles. Find gain or loss percent.A. Profit of 10%
B. Loss of 10%
C. Profit of 20%
D. Loss of 20%
According to the question,
Now, let S.P. = 6x and C.P. = 5x
∴Profit percent =
9. A shopkeeper sold sarees at ₹ 266 each after giving 5% discount on the labelled price. Had he not given the discount, he would have earned a profit of 12% on the cost price. What was the cost price of each saree?A. ₹ 280
B. ₹ 260
C. ₹ 240
D. ₹ 250
C.P. of each sari = Rs. x
10. A man sells two articles at Rs.99 each. In one he gains 10% and on the other, he lost 10%. What is his gain or loss percent on the whole transaction?A. Loss 1%
B. Loss 1.5%
C. Profit 1%
D. Profit 1.5%
When articles are of sold at same SP at same profit% and loss%, there is always a loss of
∴Loss per cent
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