A shopkeeper offers two successive discounts of 15% and y% on the marked price of an article. If the final selling price is 68% of the marked price, what is the value of y?
20
With successive discounts, each discount is applied to the price left after the previous one: SP = MP × \(\left(1 - \frac{15}{100}\right)\left(1 - \frac{y}{100}\right)\).
Take MP = 100. After 15% discount the price is 85, and the final price is 68, so \(85\left(1 - \frac{y}{100}\right) = 68\).
\(1 - \frac{y}{100} = \frac{68}{85} = 0.8\), so \(\frac{y}{100} = 0.2\) and y = 20.
Check: 100 → 85 after 15% off, and 20% of 85 = 17, so 85 – 17 = 68, i.e. 68% of the marked price.
Hence, 20.
Similar Questions
A shopkeeper marks up the price of a bag by (3y + 8)% above its cost price. He offers a 25% discount on the marked price and obtains a 2% profit. What is the value of y? (Rounded off to the nearest integer)
A store offers a "Buy 5 Get 2a free" scheme along with a trade discount of 10%. If the effective discount given to the customer is 50%, what is the value of a?
In a "Buy y, Get (y – 3) Free" scheme, the effective discount offered to customers is 40%. What is the value of y?
The marked price of an item is ₹5,000. A shopkeeper offers two successive discounts of 10% and x% on the marked price. If the ratio of the marked price to the final selling price is 25 : 19, what is the value of x? (Rounded off to the nearest integer)
A retailer gives two successive discounts of 3y% and 15% on an item, resulting in a single equivalent discount of 28%. What is the value of y? (Rounded off to the nearest integer)
A store applies two successive discounts of 20% and (5y - 2)% on the marked price of an item. If the final selling price is 60% of the marked price, what is the value of y?
A retailer offers three successive discounts of 10%, 15%, and 20% on an article marked at ₹25,000. What is the final selling price?
A shop runs a "Buy 4, Get b Free" scheme and also gives a trade discount of 20%. If the overall effective discount to the customer is 46 2/3%, what is the value of b?
A vendor marks up the cost price of a product by 25% and then offers a 10% discount on the marked price. What is the net profit percentage earned by the vendor?
A shopkeeper marks an article 60% above its cost price. He offers a discount of 20% on the marked price and still earns a profit of ₹840. What is the marked price of the article?
Important Questions from Discount and MP
If a trader marks the price of an article 50 percent more than the cost price and allows a discount of 30 percent, then what is his profit percentage?
Printed price of a mobile is Rs. 6,400. It is sold in Rs. 2,560 with two consecutive discount. If first discount is 20%, then what is the second discount?
A trader decided to mark his goods 15 percent above the cost price and then offered 40 percent discount. What will be the percentage of profit or loss?
On the sale of 20 percent discount, the value of an item is Rs. 760. What was the real value of the item?
What is the total discount applicable if 3 successive discounts of 20%, 10% and 12.5% are applied?
