A book seller gives a 4% discount on the marked price and gives one book free during vacation for buying every pack of 15 books of the same cost, and thus gains 35%.
A book seller gives a 4% discount on the marked price and gives one book free during vacation for buying every pack of 15 books of the same cost, and thus gains 35%. By what percentage is the marked price higher than the cost price?
एक पुस्तक विक्रेता अंकित मूल्य पर 4% की छूट देता है। छुट्टियों के दौरान, समान क्रय मूल्य की 15 पुस्तकों के प्रत्येक पैक को खरीदने पर 1 पुस्तक मुफ्त देता है। इस प्रकार उसे कुल 35% का लाभ होता है। बताइए, अंकित मूल्य क्रय मूल्य से कितने प्रतिशत अधिक है?
Detailed Solution & Logic
50%
Let cost price of one book = ₹$C$ and marked price = ₹$M$
Discount = 4% ⇒ selling price per book = $0.96M$
Offer: Buy 15 books, get 1 free ⇒ total books given = 16
Total SP for 16 books:
$15 \times 0.96M = 14.4M$
Total CP for 16 books:
$16C$
Given profit = 35%:
$SP = 1.35 \times CP$
So,
$14.4M = 1.35 \times 16C$
$14.4M = 21.6C$
$\frac{M}{C} = \frac{21.6}{14.4} = 1.5$
Thus,
$M = 1.5C$
Percentage increase:
$\frac{M - C}{C} \times 100 = 50%$
Correct Answer: 50%
Similar Practice Questions
If 80% of 50% of $\frac{3}{8}$ of a number is 537, find the number.
If 80% of 50% of $\frac{3}{8}$ of a number is 537, find the number. यदि...
By how much is 65% of 75 greater than $\frac{2}{5}$ of 45?
By how much is 65% of 75 greater than $\frac{2}{5}$ of 45? 75 का 65%,...
The price of a scooter increases successively by 10%, 5%, and 15%. What is the total percentage increase in the price of the scooter?
The price of a scooter increases successively by 10%, 5%, and 15%. What is the...
If \({x}, {y} \) is 25% less than, then \({y}, {x} \) is greater than.
If \({x}, {y} \) is 25% less than, then \({y}, {x} \) is greater than....
The expenditure of Sudha is 125% more than her savings. If her expenditure decreases by 6% and savings increase by 39.5%, then by what percentage will her income increase?
The expenditure of Sudha is 125% more than her savings. If her expenditure decreases by 6%...
A dishonest shopkeeper claims to sell rice
A dishonest shopkeeper claims to sell rice at the cost price of ₹95 per kg,...
Rahul saves his monthly salary in the following manner: he invests ₹12,000 in mutual funds, which accounts for 15% of his salary. From the remaining amount, he allocates 25% to a children’s education policy, and from the remaining amount after that, he spends 10% on health insurance. Find his total monthly savings.
Rahul saves his monthly salary in the following manner: he invests ₹12,000 in mutual funds, which...