35 kg of type A sandal powder, which costs Rs. 614 per kg, was mixed with a certain amount of type B sandal powder, which costs Rs. 695 per kg. Then the mixture was sold at the rate of Rs. 767 per kg and 18% profit was earned. What was the amount (in kg) of type B sandal powder in the mixture ?
A. 24 kg B. 28 kg C. 32 kg D. 36 kg Answer: Option BShow Answer
Solution(By Apex Team)
$\begin{aligned}&\text{Cost price of mixture}\\
&=\frac{\text{ Sale price }}{(100+\text{ gain }\%)}\times100\\
&=\frac{767}{118}\times100\\
&=\text{ Rs. }650\end{aligned}$
$\begin{array}{l}\text{Ratio = 5 : 4}\\
\text{∴ Quantity of A type of sandal is 35 kg}\\
\text{∴ 5x = 35 kg}\\
\text{∴ x = 7 kg}\\
\text{Thus B type sandal}\\
\text{= 7 × 4 = 28 kg}\end{array}$
$\begin{array}{l}\text{Ratio = 5 : 4}\\
\text{∴ Quantity of A type of sandal is 35 kg}\\
\text{∴ 5x = 35 kg}\\
\text{∴ x = 7 kg}\\
\text{Thus B type sandal}\\
\text{= 7 × 4 = 28 kg}\end{array}$
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