Question : After deducting 20% from a certain sum, and then 10% from the remainder, there is INR 7,200 left. Find the original sum.
Option 1: INR 9,000
Option 2: INR 10,000
Option 3: INR 7,500
Option 4: INR 7,800
Correct Answer: INR 10,000
Solution : Let $x$ be the total money. First deduction = 20% of $x$ Money left after first deduction = 80% of $x$ = $\frac{4x}{5}$ Second deduction = 10% of $\frac{4x}{5}$ Money left after second deduction = 90% of $\frac{4x}{5}$ = $\frac{36x}{50}$ According to the question, $\frac{36x}{50}=7200$ $\therefore x=\frac{7200×50}{36}=10000$ Hence, the correct answer is INR 10,000.
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Question : The compound interest on a certain sum invested for 2 years at 10% per annum is INR 1,522.50, the interest being compounded yearly. The sum is:
Option 1: INR 7,250
Option 2: INR 7,200
Option 4: INR 7,000
Question : A sum (in INR) is distributed between A, B, and C in the ratio 9 : 6 : 11. If A gives INR 500 from his share to C, the ratio of shares of A, B, and C becomes 4 : 3 : 6. What is the sum of shares (in INR) of B and C, in the beginning?
Option 1: INR 8,500
Option 2: INR 9,100
Option 3: INR 7,800
Option 4: INR 7,500
Question : Christy donated 10% of his income to an orphanage and deposited 20% of the remainder in his bank. If he now has Rs. 7,200 left, what is his income?
Option 1: Rs. 10,000
Option 2: Rs. 8,000
Option 3: Rs. 9,000
Option 4: Rs. 8,500
Question : Sudeep invested $\frac{1}{8}$th of a certain sum at 5% p.a. for two years and $\frac{3}{5}$th of the sum at 6% p.a. for two years and the remaining at 10% p.a. for two years. If the total interest received is INR 1,674, then the total sum invested is:
Option 1: INR 13,000
Option 2: INR 12,000
Option 3: INR 10,500
Option 4: INR 12,500
Question : After deducing a commission of 20 %, a DVD set costs INR 9,080. Its marked price is:
Option 1: INR 11,200
Option 2: INR 11,350
Option 3: INR 10,000
Option 4: INR 10,100
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