Question

Mangoes are sold at Rs $18\frac{1}{2}$ per kg. What is the weight of mangoes available for Rs $157\frac{1}{4}$ ?

Answer 1

Cost of 1 kg of mangoes = Rs $18\frac{1}{2}$= Rs$\frac{37}{2}$
Total cost of the required mangoes = Rs $157\frac{1}{4}$ = Rs $\frac{629}{4}$
∴ Weight of the required mangoes = $\left(\frac{629}{4}÷\frac{37}{2}\right)$ kg
=$\left(\frac{629}{4}\times \frac{2}{37}\right)$ kg [∵ Reciprocal of $\frac{37}{2}$ = $\frac{2}{37}$]
= $\left(\frac{17}{2}\right)$ kg = $8\frac{1}{2}$ kg
Hence, the weight of the mangoes available for Rs $157\frac{1}{4}$ is $8\frac{1}{2}$ kg.