UPSI QUANT QUIZ-4

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Question 1:

A piece of work can be completed by P and Q together in 24 days, and the same piece of work can be completed by R alone in 60 days. If $P$ and $R$ together can do the same work in 36 days, then find the time taken by $Q$ to complete this piece of work alone.

Question 2:

The average weight of A, B and C is 65 kg. If the average weight of A and B is 62 kg and that of B and C is 66 kg, then the weight (in kg) of B is:

Question 3:

On selling an article for ₹ $800$, a person loses $20 \%$ of its selling price. At what price should he sell it to gain $25 \%$ on its cost price?

Question 4:

A retailer bought $140 \mathrm{~kg}$ of rice and sold it at a profit to the extent of what he paid for 60 $\mathrm{kg}$. What is his profit percentage?

Question 5:

A shopkeeper allows a discount of 15% on his goods and still makes a profit of 19%. What is the cost price paid by the shopkeeper for an article marked Rs 2,800?

Question 6:

Find the sum of 4 terms in a GP, given first term is 15 and common ratio is 4 .

Question 7:

Find the sum upto 151 term of the sequence 243, 256, $269, \ldots$

Question 8:

A smart TV was purchased for ₹$ 15400$. Its price was marked up by $30 \%$. It was sold at a discount of $15 \%$ on the marked price. What was the profit percent of the smart TV?

Question 9:

A sum of money invested at simple interest triples itself in 15 years at simple interest. Find in how many years will it become 13 times itself at the same rate?

Question 10:

If the first term is 125 and the common ratio is $2 / 5$, what will be the 4th term of the GP?