Question
Raju, Shyam and Baburao entered into a partnership with
the initial capital of Rs. (X + 2000), Rs. (X + 10000) and Rs. 28000, respectively. After three months, Raju withdrew (2/3)rd of his initial capital, Shyam withdrew half of his initial capital and Baburao invested Rs. 4000 more. Shyam being active partner gets 20% of the total profit as extra amount and rest profit is shared among them in the ratio of their investment. If the annual profit share of Baburao is Rs. 13950 and total annual profit earned is Rs. 40500, then find the value of ‘’25% of X’’.Solution
Profit share ratio of Raju, Shyam and Baburao, respectively = [3(X + 2000) + 9(X + 2000)/3]:[3(X + 10000) + 9(X + 10000)/2]:[(28000 × 3) + (32000 × 9)] = (3X + 6000 + 3X + 6000):(3X + 30000 + 4.5X + 45000):(84000 + 288000) = (6X + 12000):(7.5X + 75000):372000 Total profit share = Rs. 40500 Extra profit share of Q = 40500 × 20% = Rs. 8100 Remaining profit share = 40500 – 8100 = Rs. 32400 Profit share of Baburao = 372000/(6x + 12000 + 7.5X + 75000 + 372000) 13950/32400 = 372000/(13.5X + 459000) 155/360 = 124000/(4.5X + 153000) 31/72 = 124000/(4.5X + 153000) 31(4.5X + 153000) = 72 × 124000 31(0.5X + 17000) = 8 × 124000 0.5X + 17000 = 8 × 4000 0.5X = 32000 - 17000 X = 15000/0.5 X = 30000 25% of X = 1/4 x 30000 = 7500
The marked price of a pen and pencil are in the ratio of 5:6. The shopkeeper gives 20% discount on th pen. If the total discount on both the pen and the...
An item with a marked price of ₹4,000 was sold for ₹3,492 after a discount of y% was offered. What was the value of y?
The list price of an article is Rs.240 and a customer buys it for Rs.120 after two successive discounts. If the first discount is 20% then find the othe...
A company sells two products, X and Y. The selling price of product X is ₹500, and the selling price of product Y is ₹800. The company offers a 10%...
A hotel is giving a discount of 12% on the booking of 2 or more rooms. Additionally, the hotel is offering a 5% discount only on payment using any card ...
For an electric bill for Rs 50,000, what is the difference between a discount of 30% and two successive discounts of 26% and 5%?
The cost price of an article is Rs x. It is marked up by 200%. It is sold at Rs 540 after giving 25% discount. What is the value of x (in Rs)?
Two successive discounts of 20% and 10% are equal to what single discount percentage?
The marked price of a pen and pencil is in the ratio of 5:6. The shopkeeper gives a 10% discount on the pen. If the total discount on both the pen and t...
Amit sold an electric iron for ₹ 5312 after giving a discount of 17% on the market price. Had he not given the discount, he would have earned a profit...
Relevant for Exams:
