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### Mathematical Skills | Profit and Loss

 Q. No. 1: The cost of raw material of a product increases by 30%, the manufacturing cost increases by 20% and the selling price of the product increases by 60%. The raw material and the manufacturing cost, originally, formed 40% and 60% of the total cost respectively. If the original profit % was one-fourth the original manufacturing cost, find the approximation new profit percentage. A : 48.39% B : 54.68 % C : 62.48% D : 42.36% Solution
 Q. No. 2: A shopkeeper gives a discount of 12%, whereas a customer makes cash payment. Let 'p' denotes the percentage, above the cost price, that the shopkeeper must mark up the price of the articles ['p' is an integer] in order to make a profit of x% (x<100). Which of the following is the possible value(s) of x? A : 54 B : 76 C : 96 D : 32 Solution
 Q. No. 3: A salesman sells two kinds of trousers: cotton and woollen. A pair of cotton trousers is sold at 30% profit and a pair of woollen trousers is sold at 50% profit. The salesman has calculated that if he sells 100% more woolen trousers than cotton trousers, his overall profit will be 45%. However he ends up selling 50% more cotton trousers than woollen trousers. What will be his overall profit? A : 37.5% B : 40% C : 41% D : 42.33% Solution
KK, an aspiring entrepreneur wanted to set up a pen drive manufacturing unit. Since technology was
changing very fast, he wanted to carefully the demand and the likely profits before investing. Market survey indicated that he would be able to sell 1 lac units before customers shifted to different gadgets. KK realized that he had no incur two kinds of costs – fixed costs (the costs which do not change, irrespective of number of units of pen drives produced) and variable costs (= variable cost per unit multiplied by number of units). KK expected fixed cost to be Rs. 40 lac and variable cost to be Rs. 100 per unit. He expected each pen drive to be sold at Rs. 200.
 Q. No. 1: What would be the break-even point (defined as no profit, no loss situation) for KK’s factory in term of sales? A : Rs 80 lac B : Rs 100 lac C : Rs 120 lac D : Rs 140 lac Solution
 Q. No. 2: KK was skeptical that per unit variable cost might increase by 10% though the demand might remain same. What will be the expected changes in profit in such a case? A : Profit will increase by 16.67% B : Profit will increase will by 15.75% C : Profit would decrease by 15.75% D : Profit will decrease by 16.67% Solution
 Q. No. 5: In a period from January to March, Jamshedpur Electronics sold 3150 units of Television, having started with a beginning inventory of 2520 units and ending with an inventory of 2880. What was the value of order placed (Rupees in thousands) by Jamshedpur Electronics during the three months period? [Profits are 25% of cost price, uniformly.] A : 26325 B : 22320 C : 25200 D : 28080 Solution
 Q. No. 6: Two persons Raj and Ramu started working for a company in similar jobs on January 1, 1991. Raj's initial monthly salary was Rs 400, which increases by Rs 40 after every year. Ramu's initial monthly salary was Rs 500 which increases by Rs 20 after every six months. If these arrangements continue till December 31, 200. Find the total salary they received during that period. A : Rs 1,08,000 B : Rs 1,44,000 C : Rs 1,32,000 D : Rs 1,52,400 Solution
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