Question

A merchant has 1500 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is

Answer 1

Answer:

Explanation:

900Kg

Answer 2

The quantity sold at 18% profit is 900 kg.

Explanation:

Let the cost price (C.P.) of sugar be Rs. x per kg.

Then, C.P. of 1500kg sugar= Rs. 1500x

Let the sugar sold at 8% profit be y kg.

Then, sugar sold at 18% profit =(1500−y) kg

Using rule of alligation,

$(\frac{108}{100}\times xy)+\lbrack\frac{118}{100}\times x(1500-y)\rbrack=\frac{114}{100}\times1500x$

$\frac{108}{100}y+1770-\frac{118}{100}y=1710$

$\frac{10}{100}y\;=60$

y= 600

∴ Quantity sold at 18% gain =(1500−600) kg

=900 kg.