Rahul Sofat Solutions for Chapter: Rational Numbers, Exercise 6: THINKING SKILLS

Find a rational number which in standard form equals to $\frac{4}{5}$ and the sum of its numerator and denominator is $27$.
 

Yasmin claims "If we have two positive rational numbers, the one with the greater denominator is smaller", Justify or contradict by giving examples?

Dr Max, a professional trader, bought $225$ shares of a company at $₹23\frac{1}{2}$ a share. A month later he sold them at $₹$$31\frac{3}{4}$ a share. How much did Dr Max gain on the transaction?

A cricketer made $253$ runs ia the current IPL season. This is $\frac{2}{9}$th more than what be made in the previous IPL last year. How many runs did be make last year?

In a super market, the cost of a table lamp is $₹ 870$, on which$\frac{1}{5}$th is off. The same table lamp is available at an electric shop for$₹ 920$  with a discount of$\frac{1}{10}$th. From where should one buy the lamp? What is the difference in prices?