Sarvesh K Verma Solutions for Chapter: Ratio, Proportion & Variation, Exercise 5: CAT - Test Questions Helping You Bell the CAT

$16$ persons can reap$\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$5$}\right.$ of the field in $6 \mathrm{days}$. How many persons are required to reap the rest of the field in $8 \mathrm{days}$?

Akbar and Birbal who purchased the shares for the cost of their basic salaries which are in the ratio of $5:6$. later on, the company gave them $40$ additional shares to each, due to which the ratio changed to $7:8$. If the worth of each share is $₹ 75$, what is the basic salary of the person who got fewer shares?

Distance covered by a train is directly proportional to the time taken and also it varies directly as the square root of fuel used and varies inversely as the no. of wagons attached to it. A train coveres $192 \mathrm{km}$ journey in $20$ hours when there are$10$ wagons attached to it and total fuel consumption was$256$ liter of diesel. Find the consumption of fuel per km when a train goes $200 \mathrm{km}$ in $25$ hours with $15$ wagons attached to it :

At Sahara shopping centre, a person can purchase as many articles at a time as his or her age that is a person of n years age can purchase only n similar articles at a time. Amisha is younger to her elder brother who has just entered his twenties. One day Amisha went to the Sahara shopping center, she purchased the same toffees at a particular rate on the ground floor. But when she reached on third floor she found that she could purchase double the no. of toffees with the same amount as she had spent on the ground floor. Also to purchase the same no. of toffees on the third floor she had to spend $₹ 2$ less than that of on the first floor. How many toffees did she buy?

A contractor deployed some men to plant$1800$trees in a certain no. of days. But in $\frac{1}{3}\mathrm{rd}$  of the planned time $120$ plants could be less planted so to fulfill the target for the rest of the days every day $20$ more plants were planted. Thus it saved one day out of the initially planned no. of days. How many plants did he plan to plant each day initially?

A and B have to write $810$ and $900$ pages respectively in the same time period. But A completes his work $3$ days ahead of time and B completes $6$ days ahead of time. How many pages did A write per hour if B wrote $21$ pages more in each hour?

Three friends A, B, and C decided to share the soda water with D, who had no soda water. A contributed $2$ tumblers more than that of B and B contributed $1$ tumbler more than that of C and then all of them had an equal amount of soda water. In turn, D paid money, which was divided among A, B, and C in the ratio of their contribution to D. Thus A had gotten thrice as much money as B had gotten. The price of each tumbler of soda water was $₹ 15$ and each transaction was integral in numbers either the sharing of money or contribution of soda water. What was the sum of money that B had gotten?

In Maa Yatri Temple every devotee offers fruits to the orphans. Thus every orphan receives bananas, oranges, and grapes in the ratio of $3:2:7$ in terms of dozen. But the weight of a grape is $24\mathrm{gm}$ and the weight of banana and orange are in the ratio of $4:5$, while the weight of orange is $150\mathrm{gm}$. Find the ratio of all the three fruits in terms of weight, that an orphan gets :