Question Bank  Arithmetic  Hemant Malhotra

Q58) M litres of milk solution contains 80% milk. Instead of adding certain amount of water to change the 80% milk solution to 60% milk solution, same amount of milk is added by mistake. To the resulting solution W litres of water is added and the initial objective of 60% milk solution is attained. What is the ratio of M and W.

Q59) I sold 4 items @ rs 300, 300, 300, 700 and customer settled whole deal on 1400 rs with 200 rs as bargain money and he gave me 1300 rs and promise to pay 100 rs later . on next day he came and return 700 rs item so, tell me how much money should I give him back ?

Q60) A shopkeeper claims to sell his items at 10% loss. but he secretly makes a profit of 20% by using a false weight. what is effective profit % that he makes on 100 gm.

Q61) Maalchand had 100 pieces each of articles A and B. A was cheaper in price than B. Fearing police raid, Maalchand decides to sell all the pieces in two days. On the first day, he sold A and B at 10% and 30% profit respectively. Although, he made a net profit of 25%, the articles did not sell much and was not more than 25 pieces of each type. On second day, A and B were sold at 30% and 10% profit respectively. In the process, all the articles of Maalchand were sold, but his net profit for the second day was reduced to 20%. Which among the following is not true?
(a) the cost price of each piece of article A was less than 18% cheaper than each piece of article B
(b) the total sale on the first day was 19.5% of the total sale
(c) the net profit on the total sale was 20.9%
(d) all of the foregoing
(e) none of the foregoing

Q62) A contains Petrol and diesel in the ratio 7:9 ,mixture B contains Diesel and petrol in the ratio 13:11 . In what ratio should the two be mixed so that proportion of petrol in the the resultant mixture is 50%?

OA= Not Possible
In A & B content of petrol is less than 50% so it's not possible to obtain 50% petrol from mixture

Q63) x can do a piece of work in 20 days working 7 hrs a day. The work is started by x and on the second day one more man whose capacity to do work is twice that of x, joined. on the third day another man whose capacity is thrice as that of x, joined and the process continues till the work is completed. in how many days will the work be completed, if everyone works for 4 hours a day

Q64) The average of three consecutive multiples of 3 is a.
The average of four consecutive multiples of 4 is a + 27.
The average of the smallest and largest of these seven integers is 42.
Determine the value of a.

3(k+1) = a
4p+6 = a+27
4p+3k = 72
3 equations 3 variables.
k = 8 ; p = 12 and a = 27.

Q65) A milkman had a mixture of milk and water with him. the ratio of milk to water is 4:5. He then boils the mixture so as to achieve a concentration of 50%. But, since he was distracted by the world cup finals being telecast live on T.V., he boiled the milk and realised that the initial ratio of milk to water has been reveresed. If, by then he has boiled the milk for exactly 90/7 minutes, find the extra time for which the milk has boiled, given that the rate of evaporation of water is 50% more than that of milk.

Q66) Anand sells bonds of company C, paying interest rate at 5% p.a. to buy bonds (of same face value as company C) of company B which bears an interest rate of 6% p.a. However, he has to pay Rs.500 as transaction fees of the broker. Still he is going to earn an additional income of Rs.175 every month. What is the initial amount invested by Anand in the hands of company C ? [All transactions take place at face value.]
a) Rs.175,000
b) Rs.213,000
c) Rs.227,000
d) Rs.197,500

Q62) Pawan and Qureshi working together can do a piece of work in 10 days whereas Qureshi and Rohit working together can do the same work in 12 days. All three work together to do a job for which they are paid Rs. 300. If Qureshi’s share is Rs. 140, then what is Pawan’s share?
(a) Rs. 100
(b) Rs. 60
(c) Rs. 80
(d) Cannot be determined

Q63) A shopkeeper takes 20% more than indicated by weight. While selling , he gives to the customer a quantity , such that if 20% is added to it, the indicated weight is obtained. calculate his profit %.

Q64) Three fruits bought at Rs 100, 80 and 60 pe kg are sold in the ratio 3 : 4 : 5 respectively and a profit of 50% is made. At what price should they be sold (per kg) if same selling price has to be used for all three fruits.

Q65) While driving on a straight road, Jason passed a milestone with a twodigit number. After exactly an hour, he passed a second milestone with the same two digits written in reverse order. Exactly one more hour after that, he passed a third milestone with the same two digits reversed and separated by a zero. What is the sum of the two digits?

Q66) A dishonest trader marks up his goods by 80% and gives a discount of 25%. Besides he gets 20% more amount per kg from wholesaler and sells 10%less per kg to customer. What is the over all profit %

Q67) A shopkeeper bought 100 articles from a wholesaler at 30% discount. He sold all the goods at 23% discount, yet making a profit of 10%. What is the ratio of the marked price in the shop to marked price in the wholesale market.
a) 1 : 1
b) 23 : 70
c) 23 : 77
d) 23 : 64

Q68) Mahesh and Umesh purchase a radio each for the same price and both mark up their respective radios by the same amount. Mahesh gives a discount of Rs.20 followed by another discount of 20% on the reduced price, while Umesh gives a discount of 20% followed a discount of Rs.20. If Mahesh's profit percent is equal to thrice Umesh's loss percent, what is the profit (in Rs.) of Mahesh on his radio?

Q69) A fruit dealer fixes selling price of watermelon juice in such a way that he ends up earning a profit of 30% after paying tax, which is 13% of the cost price. A shopkeeper buys watermelon juice from the dealer and marks up the price by 15% and then adds 25% water to the juice. He then gives a discount of 4% on juice to his customers and thereby sells juice at Rs. 98.67 per litre. What is the cost price per litre of the watermelon juice for the fruit dealer?

Q70) In a class, there are 2/3 as many boys as girls. If 30% of the boys ride the school bus and 40% of the girls ride it, what percent of the class rides the bus