Solve the word problems from the image related to profit, loss and discount problems. 6. Anshul bought 5 ties for ₹400 and sold 4 ties for ₹400, find the gain per cent. 7. Aryan b... Solve the word problems from the image related to profit, loss and discount problems. 6. Anshul bought 5 ties for ₹400 and sold 4 ties for ₹400, find the gain per cent. 7. Aryan bought one dozen oranges for ₹ 30 and sold 10 oranges for ₹ 30, find his profit per cent. 8. By selling a blanket for ₹ 1,560, Deepak gains 20%. Find the cost price of the blanket. 9. By selling a football for ₹ 465, a shopkeeper loss 7%. Find his cost price. 10. A room heater purchased for ₹ 800 is sold at a gain of 5%, find the selling price of the main heater. 11. An electric iron purchased for ₹ 1,500 is sold at a loss of 3%, find the loss and the selling price of the electric iron. 12. By selling a briefcase for ₹ 3,150 a shopkeeper loses 10%. For how much should he sell the briefcase so as to gain 10%? 13. By selling a coat for ₹ 752 a shopkeeper loses 6%. For how much should he sell it so as to gain. 14. A perfume is sold at a gain of 5%. Had it been sold for ₹ 49 more, the gain would have been. Find the cost price of the perfume. 15. Find the selling price when the marked price is ₹ 1,500 and the discount is ₹ 100. Read more

Steps to Solve

Here, we will solve problems 8, 11, 13, 14, and 15 as requested.

Problem 8: Briefcase Selling Price for 10% Gain

1. Find the cost price (CP) of the briefcase: Since the shopkeeper loses 10% by selling the briefcase for ₹3150, we can set up the following equation where $CP$ is cost price: $CP - 0.10 \times CP = 3150$ $0.90 \times CP = 3150$ $CP = \frac{3150}{0.90} = 3500$

2. Calculate the selling price (SP) for a 10% gain: To gain 10%, the selling price should be: $SP = CP + 0.10 \times CP$ $SP = 3500 + 0.10 \times 3500$ $SP = 3500 + 350 = 3850$

Problem 11: Electric Iron Loss and Selling Price

1. Calculate the loss amount: The electric iron is purchased for ₹1500 and sold at a loss of 3%. Loss = $0.03 \times 1500 = 45$

2. Calculate the selling price(SP): $SP = CP - Loss$ $SP = 1500 - 45 = 1455$

Problem 13: Selling a Briefcase for 10% Gain

Note: This appears to be a duplicate of Problem 8.

1. Find the cost price (CP) of the briefcase: Since the shopkeeper loses 10% by selling the briefcase for ₹3,150, we can set up the following equation where $CP$ is cost price: $CP - 0.10 \times CP = 3150$ $0.90 \times CP = 3150$ $CP = \frac{3150}{0.90} = 3500$

2. Calculate the selling price (SP) for a 10% gain: To gain 10%, the selling price should be: $SP = CP + 0.10 \times CP$ $SP = 3500 + 0.10 \times 3500$ $SP = 3500 + 350 = 3850$

Problem 14: Selling a Coat for a Gain

1. Find the cost price (CP) of the coat: The shopkeeper loses 6% by selling the coat for ₹752. $CP - 0.06 \times CP = 752$ $0.94 \times CP = 752$ $CP = \frac{752}{0.94} = 800$

2. Calculate the selling price(SP) for a 6% gain: To gain 6%, the selling price should be: $SP = CP + 0.06 \times CP$ $SP = 800 + 0.06 \times 800$ $SP = 800 + 48 = 848$

Problem 15: Perfume Cost Price

1. Set up the equation: Let the cost price of the perfume be $CP$. Selling at a gain of 5% means the selling price is $1.05 \times CP$. If it had been sold for ₹49 more, the gain would have been 8%. So, $1.05 \times CP + 49 = 1.08 \times CP$

2. Solve for CP: $1.08 \times CP - 1.05 \times CP = 49$ $0.03 \times CP = 49$ $CP = \frac{49}{0.03} = \frac{4900}{3} = 1633.33$