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- Standard 13
- Quantitative Aptitude
Sasha goes to a shop to buy a sofa set and a center table. Ske bargins for a $10 \%$ discount on the center table and and $25 \%$ discount on sofa set. However, the manager, by mistake, interchanged the discount percentage figures while making the bill and Sasha paid accordingly. When compared to what she should pay for her purchases, what percentage did Sasha pay extra given that the center table costs $40 \%$ as much as the sofa set.
$7.1$
$7.5$
$7.9$
$8.1$
Solution
Let the cost of sofa set be Rs. $100 .$ Then, the cost of centre table is $Rs. 40$ $[40 \%$ of sofa set given $]$
According to Sasha, cost of centre table
$=\frac{90}{100} \times 40=$ Rs. $36 \quad[10 \%$ discount on center table $]$
and cost of sofa set $=\frac{75}{100} \times 100=$ $Rs.$ $75[25 \%$ discount on sofa set $]$
According to manager, He inter changed discount $\%$ so, cost of
centre table $=\frac{75}{100} \times 40= Rs .30$
and cost of sofa set $=\frac{90}{100} \times 100= Rs .90$
Extra money $=$ $Rs.$ $(90+30)-$ $Rs.$ $(36+75)=$ $Rs.$ $120-$ $Rs.$ $111=$ $Rs. 9$
$\%$ extra $=\frac{9}{111} \times 100=8.1 \%$
Hence, Sasha paid $8.1 \%$ extra price.
